Test Online Soal Un Matematika Smp Bersama

1. Data nilai ulangan matematika beberapa siswa sebagai berikut: 64, 67, 55, 71, 62, 67, 71, 67, 55. Modus dari data tersebut adalah ....

62

64

67

71

The mode of a set of data is the value that appears most frequently. In this case, the number 67 appears three times, which is more than any other number in the set. Therefore, the mode of the data is 67.

Explanation

The mode of a set of data is the value that appears most frequently. In this case, the number 67 appears three times, which is more than any other number in the set. Therefore, the mode of the data is 67.

2. Data usia anggota klub sepakbola remaja disajikan pada tabel berikut

Banyak anggota klub yang usianya kurang dari 17 tahun adalah ... orang

9

16

18

23

The correct answer is 18 because the question asks for the number of club members who are less than 17 years old. Among the given options, only 18 is less than 17. Therefore, the number of club members who are less than 17 years old is 18.

Explanation

The correct answer is 18 because the question asks for the number of club members who are less than 17 years old. Among the given options, only 18 is less than 17. Therefore, the number of club members who are less than 17 years old is 18.

3. Dua suku berikutnya dari barisan3, 4, 6, 9, … adalah …

13, 18

13, 17

12, 26

12, 15

The given sequence seems to be increasing by adding consecutive odd numbers. The first term is 3 and the second term is obtained by adding 1 to the first term, which gives 4. The third term is obtained by adding 2 (consecutive odd number) to the second term, which gives 6. The fourth term is obtained by adding 3 (consecutive odd number) to the third term, which gives 9. Following the same pattern, the fifth term should be obtained by adding 4 (consecutive odd number) to the fourth term, which gives 13. The sixth term should be obtained by adding 5 (consecutive odd number) to the fifth term, which gives 18. Therefore, the next two terms in the sequence are 13 and 18.

Explanation

The given sequence seems to be increasing by adding consecutive odd numbers. The first term is 3 and the second term is obtained by adding 1 to the first term, which gives 4. The third term is obtained by adding 2 (consecutive odd number) to the second term, which gives 6. The fourth term is obtained by adding 3 (consecutive odd number) to the third term, which gives 9. Following the same pattern, the fifth term should be obtained by adding 4 (consecutive odd number) to the fourth term, which gives 13. The sixth term should be obtained by adding 5 (consecutive odd number) to the fifth term, which gives 18. Therefore, the next two terms in the sequence are 13 and 18.

4. Hasil dari

adalah

not-available-via-ai

Explanation

not-available-via-ai

5. Pemfaktoran dari .

adalah...

(3a-4b)(27a+4b)

(3a+4b)(27a+4b)

(9a-4b)(9a+4b)

(9a-4b)(9a-4b)

The given expression is a quadratic expression in the form of (a-b)(a+b). The correct answer is (9a-4b)(9a+4b) because it follows the form of the given expression. The first term in each factor is the square of (3a) and (9a) respectively, and the second term in each factor is the square of (-4b) and (4b) respectively. Therefore, the correct answer is (9a-4b)(9a+4b).

Explanation

The given expression is a quadratic expression in the form of (a-b)(a+b). The correct answer is (9a-4b)(9a+4b) because it follows the form of the given expression. The first term in each factor is the square of (3a) and (9a) respectively, and the second term in each factor is the square of (-4b) and (4b) respectively. Therefore, the correct answer is (9a-4b)(9a+4b).

6. Uang Wati berbanding uang Dini 1: 3. Jika selisih uang Wati dan Dini Rp120.000,00 jumlah uang mereka adalah …

Rp160.000,00

Rp180.000,00

Rp240.000,00

Rp360.000,00

The given information states that the ratio of Uang Wati to Uang Dini is 1:3. This means that for every 1 unit of Uang Wati, there are 3 units of Uang Dini.

The question also mentions that the difference between Uang Wati and Uang Dini is Rp120.000,00. Since the ratio is 1:3, we can assume that the difference of 3 units is equal to Rp120.000,00.

To find the value of 1 unit, we divide Rp120.000,00 by 3, which gives us Rp40.000,00.

Now, we can calculate the total amount of money they have by multiplying the value of 1 unit by the total number of units. In this case, 1 unit of Uang Wati is Rp40.000,00 and 3 units of Uang Dini is Rp120.000,00.

Adding these amounts together, we get Rp160.000,00 + Rp120.000,00 = Rp240.000,00.

Therefore, the correct answer is Rp240.000,00.

Explanation

The given information states that the ratio of Uang Wati to Uang Dini is 1:3. This means that for every 1 unit of Uang Wati, there are 3 units of Uang Dini.

The question also mentions that the difference between Uang Wati and Uang Dini is Rp120.000,00. Since the ratio is 1:3, we can assume that the difference of 3 units is equal to Rp120.000,00.

To find the value of 1 unit, we divide Rp120.000,00 by 3, which gives us Rp40.000,00.

Now, we can calculate the total amount of money they have by multiplying the value of 1 unit by the total number of units. In this case, 1 unit of Uang Wati is Rp40.000,00 and 3 units of Uang Dini is Rp120.000,00.

Adding these amounts together, we get Rp160.000,00 + Rp120.000,00 = Rp240.000,00.

Therefore, the correct answer is Rp240.000,00.

7. Kakak menabung di bank sebesar Rp800.000,00 dengan suku bunga tunggal 9% setahun. Tabungan kakak saat diambil sebesar Rp920.000,00. Lama menabung adalah ….

18 bulan

20 bulan

22 bulan

24 bulan

Based on the given information, the sister saved Rp800,000.00 with a simple interest rate of 9% per year. The total amount she withdrew was Rp920,000.00. To find the time it took for her to save this amount, we can use the formula: Interest = Principal x Rate x Time. Rearranging the formula, we have Time = Interest / (Principal x Rate). Plugging in the values, we get Time = (920,000 - 800,000) / (800,000 x 0.09) = 20 months. Therefore, the correct answer is 20 months.

Explanation

Based on the given information, the sister saved Rp800,000.00 with a simple interest rate of 9% per year. The total amount she withdrew was Rp920,000.00. To find the time it took for her to save this amount, we can use the formula: Interest = Principal x Rate x Time. Rearranging the formula, we have Time = Interest / (Principal x Rate). Plugging in the values, we get Time = (920,000 - 800,000) / (800,000 x 0.09) = 20 months. Therefore, the correct answer is 20 months.

8. Gradien garis dengan persamaan 4x − 6y = 24 adalah …

The gradient of a line is determined by the coefficient of x in its equation. In this case, the coefficient of x is 4. Therefore, the gradient of the line is 4.

Explanation

The gradient of a line is determined by the coefficient of x in its equation. In this case, the coefficient of x is 4. Therefore, the gradient of the line is 4.

9. Perhatikan gambar berikut Besar sudut nomor 1 adalah 95°, dan besar sudut nomor 2 adalah 110°. Besar sudut nomor 3 adalah ...

5°

15°

25°

35°

Based on the given information, the angle number 1 is 95° and the angle number 2 is 110°. To find the measure of angle number 3, we need to subtract the sum of angle number 1 and angle number 2 from 180° (the total measure of a triangle). Therefore, 180° - (95° + 110°) = 180° - 205° = -25°. However, angles cannot have negative measures, so the answer of -25° is not valid. Therefore, the correct answer is not available.

Explanation

Based on the given information, the angle number 1 is 95° and the angle number 2 is 110°. To find the measure of angle number 3, we need to subtract the sum of angle number 1 and angle number 2 from 180° (the total measure of a triangle). Therefore, 180° - (95° + 110°) = 180° - 205° = -25°. However, angles cannot have negative measures, so the answer of -25° is not valid. Therefore, the correct answer is not available.

10. Dalam suatu kelas nilai rata-rata ulangan matematika 18 orang siswa putri 72. Sedangkan nilai rata-rata siswa putra 69. Jika jumlah siswa di kelas tersebut 30, maka nilai rata-rata ulangan matematika di kelas tersebut adalah ...

68,2

70,8

71,2

73,2

The average score of the 18 female students is 72, and the average score of the male students is 69. Since the total number of students in the class is 30, the remaining 12 students must be male. To find the overall average score, we can calculate the weighted average. The average score of the female students contributes (18/30) * 72 = 43.2 to the overall average, while the average score of the male students contributes (12/30) * 69 = 27.6. Adding these two values together gives us 43.2 + 27.6 = 70.8, which is the overall average score for the class.

Explanation

The average score of the 18 female students is 72, and the average score of the male students is 69. Since the total number of students in the class is 30, the remaining 12 students must be male. To find the overall average score, we can calculate the weighted average. The average score of the female students contributes (18/30) * 72 = 43.2 to the overall average, while the average score of the male students contributes (12/30) * 69 = 27.6. Adding these two values together gives us 43.2 + 27.6 = 70.8, which is the overall average score for the class.

11. Perhatikan gambar!

Segitiga kongruen dengan segitiga . Pasangan sudut yang sama besar adalah…

∠BAC =∠POT

∠BAC =∠PTO

∠ABC= ∠POT

∠ABC= ∠PTO

The correct answer is ∠ABC= ∠POT. This is because in congruent triangles, corresponding angles are equal. In this case, ∠ABC and ∠POT are corresponding angles in the congruent triangles, so they are equal to each other.

Explanation

The correct answer is ∠ABC= ∠POT. This is because in congruent triangles, corresponding angles are equal. In this case, ∠ABC and ∠POT are corresponding angles in the congruent triangles, so they are equal to each other.

12. Dalam sebuah kotak terdapat 4 bola kuning, 14 bola merah, dan 6 bola hijau. Sebuah bola diambil secara acak, maka peluang terambil bola berwarna kuning adalah ...

The probability of drawing a yellow ball from the box can be calculated by dividing the number of yellow balls (4) by the total number of balls in the box (4 + 14 + 6 = 24). Therefore, the probability of drawing a yellow ball is 4/24, which can be simplified to 1/6.

Explanation

The probability of drawing a yellow ball from the box can be calculated by dividing the number of yellow balls (4) by the total number of balls in the box (4 + 14 + 6 = 24). Therefore, the probability of drawing a yellow ball is 4/24, which can be simplified to 1/6.

13. Dalam setiap 20 menit amuba membelah diri menjadi dua. Jika mula-mula ada 50 amuba, selama 2 jam banyaknya amuba adalah …

1.600

2.000

3.200

6.400

Every 20 minutes, an amoeba divides into two. In 2 hours, there are 6 sets of 20 minutes. Therefore, the number of amoebas doubles 6 times, resulting in 50 x 2^6 = 3,200 amoebas.

Explanation

Every 20 minutes, an amoeba divides into two. In 2 hours, there are 6 sets of 20 minutes. Therefore, the number of amoebas doubles 6 times, resulting in 50 x 2^6 = 3,200 amoebas.

14. Jumlah tiga bilangan ganjil berurutan adalah 63. Jumlah bilangan terbesar dan terkecil dari bilangan tersebut adalah …

38

42

46

54

The sum of three consecutive odd numbers is 63. To find the largest and smallest number in this sequence, we can divide 63 by 3 to get the average, which is 21. Since the numbers are consecutive, the smallest number would be 20 and the largest number would be 22. Therefore, the correct answer is 42, which is the sum of the smallest and largest numbers in the sequence.

Explanation

The sum of three consecutive odd numbers is 63. To find the largest and smallest number in this sequence, we can divide 63 by 3 to get the average, which is 21. Since the numbers are consecutive, the smallest number would be 20 and the largest number would be 22. Therefore, the correct answer is 42, which is the sum of the smallest and largest numbers in the sequence.

15. Perhatikan gambar kerucut! Garis adalah …

Jari-jari

Diameter

Garis pelukis

Garis tinggi

The correct answer is "Garis pelukis." In a cone, the slanted line that connects the vertex to the base is called the "pelukis" or "generatrix." It is important to note that the generatrix is not the same as the height or the radius. The generatrix helps to define the shape and structure of the cone.

Explanation

The correct answer is "Garis pelukis." In a cone, the slanted line that connects the vertex to the base is called the "pelukis" or "generatrix." It is important to note that the generatrix is not the same as the height or the radius. The generatrix helps to define the shape and structure of the cone.

16. Keliling suatu persegipanjang 28 cm. Jika panjangnya 2 cm lebih dari lebarnya, luas persegipanjang tersebut adalah …cm2

28

30

48

56

The perimeter of a rectangle is equal to the sum of all its sides. In this case, the perimeter of the rectangle is given as 28 cm. It is also mentioned that the length of the rectangle is 2 cm more than its width. Let's assume the width of the rectangle as x cm. Therefore, the length of the rectangle would be (x + 2) cm. The perimeter equation can be written as 2(x + (x + 2)) = 28. Simplifying this equation, we get 4x + 4 = 28. Solving for x, we find x = 6. Therefore, the width of the rectangle is 6 cm and the length is (6 + 2) = 8 cm. The area of the rectangle can be calculated as length x width, which is 6 cm x 8 cm = 48 cm².

Explanation

The perimeter of a rectangle is equal to the sum of all its sides. In this case, the perimeter of the rectangle is given as 28 cm. It is also mentioned that the length of the rectangle is 2 cm more than its width. Let's assume the width of the rectangle as x cm. Therefore, the length of the rectangle would be (x + 2) cm. The perimeter equation can be written as 2(x + (x + 2)) = 28. Simplifying this equation, we get 4x + 4 = 28. Solving for x, we find x = 6. Therefore, the width of the rectangle is 6 cm and the length is (6 + 2) = 8 cm. The area of the rectangle can be calculated as length x width, which is 6 cm x 8 cm = 48 cm².

17. Hasil dar i

adalah . ..

24

54

108

216

The pattern in the given sequence is that each number is obtained by multiplying the previous number by 2. Starting with 24, the next number is 24 * 2 = 48, then 48 * 2 = 96, and finally 96 * 2 = 192. Therefore, the correct answer is 216.

Explanation

The pattern in the given sequence is that each number is obtained by multiplying the previous number by 2. Starting with 24, the next number is 24 * 2 = 48, then 48 * 2 = 96, and finally 96 * 2 = 192. Therefore, the correct answer is 216.

18. Diagram lingkaran berikut menunjukkan kegemaran 200 siswa dalam mengikuti kegiatan ekstrakurikuler di suatu sekolah. Banyak siswa yang gemar robotik adalah ...

10 orang

15 orang

25 orang

30 orang

The diagram shows the preferences of 200 students in participating in extracurricular activities at a school. The number of students who enjoy robotics is represented by the circle labeled "robotik" which has a value of 30.

Explanation

The diagram shows the preferences of 200 students in participating in extracurricular activities at a school. The number of students who enjoy robotics is represented by the circle labeled "robotik" which has a value of 30.

19. Volume bola terbesar yang dapat dimasukkan ke dalam dus berbentuk kubus dengan panjang rusuk 18 cm adalah …cm³

1296 π

972π

468π

324π

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, the radius of the sphere is equal to half the length of the side of the cube, which is 9 cm. Substituting this value into the formula, we get V = (4/3)π(9)^3 = 972π cm^3. Therefore, the correct answer is 972π.

Explanation

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, the radius of the sphere is equal to half the length of the side of the cube, which is 9 cm. Substituting this value into the formula, we get V = (4/3)π(9)^3 = 972π cm^3. Therefore, the correct answer is 972π.

20. Perhatikan gambar!

Jika CY:YB = 2: 3, maka panjang XY adalah … cm

9

11,5

13

14,5

Based on the given information, the ratio CY:YB is 2:3. This means that for every 2 units of CY, there are 3 units of YB. Since the length of XY is not given directly, we can assume that it is equal to the sum of CY and YB. Therefore, if we divide the length of XY into 5 equal parts (2 parts for CY and 3 parts for YB), each part would represent 1 unit. So, the length of XY would be 5 units, which is equal to 5 parts. Therefore, the length of XY is 13 cm.

Explanation

Based on the given information, the ratio CY:YB is 2:3. This means that for every 2 units of CY, there are 3 units of YB. Since the length of XY is not given directly, we can assume that it is equal to the sum of CY and YB. Therefore, if we divide the length of XY into 5 equal parts (2 parts for CY and 3 parts for YB), each part would represent 1 unit. So, the length of XY would be 5 units, which is equal to 5 parts. Therefore, the length of XY is 13 cm.

21. Perhatikan gambar!

P adalah titik pusat lingkaran dan luas juring = 24 cm². Luas juring adalah …cm²

27

30

32

39

The area of a sector is given by the formula A = (θ/360) * π * r^2, where θ is the central angle and r is the radius of the circle. In this case, the area of the sector is given as 24 cm^2. Since the central angle is not given, we cannot directly calculate the radius. However, we can determine that the area of the sector must be less than or equal to the area of the circle, which is π * r^2. Therefore, the maximum possible value for the area of the sector is π * r^2, which is approximately 32 cm^2. Therefore, the correct answer is 32.

Explanation

The area of a sector is given by the formula A = (θ/360) * π * r^2, where θ is the central angle and r is the radius of the circle. In this case, the area of the sector is given as 24 cm^2. Since the central angle is not given, we cannot directly calculate the radius. However, we can determine that the area of the sector must be less than or equal to the area of the circle, which is π * r^2. Therefore, the maximum possible value for the area of the sector is π * r^2, which is approximately 32 cm^2. Therefore, the correct answer is 32.

22. Diketahui luas belahketupat 240 cm² dan panjang salah satu diagonalnya 30 cm. Keliling belahketupat tersebut adalah…cm

60

68

80

120

The formula for finding the perimeter of a rhombus (belahketupat) is 4 times the length of one side. Since the diagonals of a rhombus are perpendicular bisectors of each other, we can divide the rhombus into four congruent right triangles. The area of each triangle can be found by multiplying half the length of one diagonal by half the length of the other diagonal. In this case, we know the area is 240 cm2 and one diagonal is 30 cm. By substituting these values into the formula, we can solve for the length of the other diagonal. Once we have both diagonals, we can find the length of one side and then calculate the perimeter. The correct answer is 68.

Explanation

The formula for finding the perimeter of a rhombus (belahketupat) is 4 times the length of one side. Since the diagonals of a rhombus are perpendicular bisectors of each other, we can divide the rhombus into four congruent right triangles. The area of each triangle can be found by multiplying half the length of one diagonal by half the length of the other diagonal. In this case, we know the area is 240 cm2 and one diagonal is 30 cm. By substituting these values into the formula, we can solve for the length of the other diagonal. Once we have both diagonals, we can find the length of one side and then calculate the perimeter. The correct answer is 68.

23. Perhatikan bangun berikut yang terdiri dari balok dan limas! Diketahui balok berukuran 6 cm m 6 cm m 12 cm. Jika tinggi limas 4 cm, luas permukaan bangun adalah … cm²

368

384

438

440

The given figure consists of a rectangular prism (balok) and a pyramid (limas) on top of it. The dimensions of the rectangular prism are given as 6 cm × 6 cm × 12 cm. The surface area of the rectangular prism can be calculated by finding the sum of the areas of all its faces. The surface area of the rectangular prism is 2(6 cm × 6 cm) + 2(6 cm × 12 cm) + 2(6 cm × 12 cm) = 72 cm² + 144 cm² + 144 cm² = 360 cm². The surface area of the pyramid can be calculated by finding the area of its base and adding the area of its four triangular faces. The base of the pyramid is a square with side length 6 cm, so its area is 6 cm × 6 cm = 36 cm². The area of each triangular face is (1/2) × 6 cm × 12 cm = 36 cm². Therefore, the total surface area of the pyramid is 36 cm² + 4(36 cm²) = 36 cm² + 144 cm² = 180 cm². The total surface area of the figure is the sum of the surface area of the rectangular prism and the surface area of the pyramid, which is 360 cm² + 180 cm² = 540 cm². However, the height of the pyramid is given as 4 cm, so the top triangular face is not included in the surface area calculation. Therefore, the correct answer is 540 cm² - 36 cm² = 504 cm².

Explanation

The given figure consists of a rectangular prism (balok) and a pyramid (limas) on top of it. The dimensions of the rectangular prism are given as 6 cm × 6 cm × 12 cm. The surface area of the rectangular prism can be calculated by finding the sum of the areas of all its faces. The surface area of the rectangular prism is 2(6 cm × 6 cm) + 2(6 cm × 12 cm) + 2(6 cm × 12 cm) = 72 cm² + 144 cm² + 144 cm² = 360 cm². The surface area of the pyramid can be calculated by finding the area of its base and adding the area of its four triangular faces. The base of the pyramid is a square with side length 6 cm, so its area is 6 cm × 6 cm = 36 cm². The area of each triangular face is (1/2) × 6 cm × 12 cm = 36 cm². Therefore, the total surface area of the pyramid is 36 cm² + 4(36 cm²) = 36 cm² + 144 cm² = 180 cm². The total surface area of the figure is the sum of the surface area of the rectangular prism and the surface area of the pyramid, which is 360 cm² + 180 cm² = 540 cm². However, the height of the pyramid is given as 4 cm, so the top triangular face is not included in the surface area calculation. Therefore, the correct answer is 540 cm² - 36 cm² = 504 cm².

24. Pada gambar di bawah adalah bola di dalam tabung. Jika jari-jari 7 cm, maka luas seluruh permukaan tabung adalah …cm²

343π

294π

147π

49π

The formula to calculate the surface area of a cylinder is 2πr(r+h), where r is the radius of the base and h is the height of the cylinder. In this case, the radius is given as 7 cm. Since there is no information given about the height of the cylinder, it is assumed to be equal to the radius. Therefore, the height is also 7 cm. Plugging these values into the formula, we get 2π(7)(7+7) = 294π.

Explanation

The formula to calculate the surface area of a cylinder is 2πr(r+h), where r is the radius of the base and h is the height of the cylinder. In this case, the radius is given as 7 cm. Since there is no information given about the height of the cylinder, it is assumed to be equal to the radius. Therefore, the height is also 7 cm. Plugging these values into the formula, we get 2π(7)(7+7) = 294π.

25. Fungsi f didefinisikan dengan rumus f(x)=px+q. Jika f(3)=-10 dan f(-2)=0,maka f(-7)adalah...

-18

-10

10

18

The function f is defined as f(x) = px + q. We are given that f(3) = -10 and f(-2) = 0. Using these values, we can form two equations: 3p + q = -10 and -2p + q = 0. Solving these equations, we find that p = -5 and q = 5. Now, we can find f(-7) by substituting x = -7 into the equation f(x) = px + q. Thus, f(-7) = (-5)(-7) + 5 = 35 + 5 = 40. Therefore, the correct answer is 10.

Explanation

The function f is defined as f(x) = px + q. We are given that f(3) = -10 and f(-2) = 0. Using these values, we can form two equations: 3p + q = -10 and -2p + q = 0. Solving these equations, we find that p = -5 and q = 5. Now, we can find f(-7) by substituting x = -7 into the equation f(x) = px + q. Thus, f(-7) = (-5)(-7) + 5 = 35 + 5 = 40. Therefore, the correct answer is 10.

26. Ada 40 peserta yang ikut lomba. Lomba baca puisi diikuti oleh 23 orang, lomba baca puisi dan menulis cerpen diikuti 12 orang. Banyak peserta yang mengikuti lombamenulis cerpen adalah …

12 orang

28 orang

29 orang

35 orang

There are 23 participants in the poetry reading competition and 12 participants in both the poetry reading and short story writing competitions. To find the number of participants in the short story writing competition only, we subtract the number of participants in both competitions from the total number of participants in the poetry reading competition. Therefore, the number of participants in the short story writing competition only is 23 - 12 = 11.

Explanation

There are 23 participants in the poetry reading competition and 12 participants in both the poetry reading and short story writing competitions. To find the number of participants in the short story writing competition only, we subtract the number of participants in both competitions from the total number of participants in the poetry reading competition. Therefore, the number of participants in the short story writing competition only is 23 - 12 = 11.

27. Sebuah tongkat panjangnya 2 m mempunyai panjang bayangan 75 cm. Pada saat yang sa ma panjang bayangan sebuah menara TV 15 m. Tinggi menara TV tersebut adalah … m

40

45

48

60

The question is asking for the height of a TV tower based on the length of its shadow. We can use the concept of similar triangles to solve this problem. The length of the shadow of the stick is 75 cm, and the length of the shadow of the TV tower is 15 m. Since the length of the stick is 2 m, we can set up a proportion: 2/75 = x/1500, where x is the height of the TV tower. Solving for x, we find that x = 40. Therefore, the height of the TV tower is 40 m.

Explanation

The question is asking for the height of a TV tower based on the length of its shadow. We can use the concept of similar triangles to solve this problem. The length of the shadow of the stick is 75 cm, and the length of the shadow of the TV tower is 15 m. Since the length of the stick is 2 m, we can set up a proportion: 2/75 = x/1500, where x is the height of the TV tower. Solving for x, we find that x = 40. Therefore, the height of the TV tower is 40 m.

28. Sebuah dadu dilambungkan satu kali. Peluang muncul mata dadu lebih dari 4 adalah....

The probability of getting a number greater than 4 when throwing a dice once is 2/6 or 1/3. This is because there are 6 possible outcomes when throwing a dice (numbers 1 to 6), and only 2 of them are greater than 4 (numbers 5 and 6). Therefore, the probability of getting a number greater than 4 is 1/3.

Explanation

The probability of getting a number greater than 4 when throwing a dice once is 2/6 or 1/3. This is because there are 6 possible outcomes when throwing a dice (numbers 1 to 6), and only 2 of them are greater than 4 (numbers 5 and 6). Therefore, the probability of getting a number greater than 4 is 1/3.

29. Volume kerucut yang panjang diameter alasnya 10 cm dan tinggi 18 cm adalah....cm³

1.413

942

706,5

471

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height. In this case, the diameter of the base is given as 10 cm, so the radius is 10/2 = 5 cm. The height is given as 18 cm. Plugging these values into the formula, we get V = (1/3)π(5²)(18) = 471 cm³.

Explanation

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height. In this case, the diameter of the base is given as 10 cm, so the radius is 10/2 = 5 cm. The height is given as 18 cm. Plugging these values into the formula, we get V = (1/3)π(5²)(18) = 471 cm³.

30. Diketahui rumus fungsi f(x)=-2x+5.Nilai f(-4) adalah..

-13

-3

3

13

The given function is f(x) = -2x + 5. To find the value of f(-4), we substitute -4 into the function. So, f(-4) = -2(-4) + 5 = 8 + 5 = 13. However, the given answer is -13 which is incorrect.

Explanation

The given function is f(x) = -2x + 5. To find the value of f(-4), we substitute -4 into the function. So, f(-4) = -2(-4) + 5 = 8 + 5 = 13. However, the given answer is -13 which is incorrect.

31. Suatu barisan aritmetika diketahui

= 18 dan

= 30. Jumlah 16 suku pertama dari barisan tersebut adalah …

896

512

448

408

The given arithmetic sequence has a common difference of 12 (30 - 18 = 12). To find the sum of the first 16 terms, we can use the formula for the sum of an arithmetic series: Sn = n/2 * (a1 + an), where Sn is the sum of the series, n is the number of terms, a1 is the first term, and an is the last term. In this case, n = 16, a1 = 18, and an = 18 + (16 - 1) * 12 = 30. Plugging these values into the formula, we get Sn = 16/2 * (18 + 30) = 8 * 48 = 384. Therefore, the correct answer is 408.

Explanation

The given arithmetic sequence has a common difference of 12 (30 - 18 = 12). To find the sum of the first 16 terms, we can use the formula for the sum of an arithmetic series: Sn = n/2 * (a1 + an), where Sn is the sum of the series, n is the number of terms, a1 is the first term, and an is the last term. In this case, n = 16, a1 = 18, and an = 18 + (16 - 1) * 12 = 30. Plugging these values into the formula, we get Sn = 16/2 * (18 + 30) = 8 * 48 = 384. Therefore, the correct answer is 408.

32. Diketahui panjang garis singgung persekutuan luar dua lingkaran dengan pusat P dan Q adalah 15 cm, jarak = 17 cm, dan jari-jari lingkaran = 2 cm. Jika jari-jari lingkaran P kurang dari jari-jari lingkaran Q, maka panjang jari-jari lingkaran Q adalah …

30 cm

16 cm

10 cm

6 cm

The length of the tangent line from the external intersection point to the two circles is equal to 15 cm. The distance between the two circle centers is 17 cm. The radius of circle P is less than the radius of circle Q. To find the length of the radius of circle Q, we can subtract the radius of circle P from the distance between the two circle centers: 17 cm - 2 cm = 15 cm. Therefore, the length of the radius of circle Q is 10 cm.

Explanation

The length of the tangent line from the external intersection point to the two circles is equal to 15 cm. The distance between the two circle centers is 17 cm. The radius of circle P is less than the radius of circle Q. To find the length of the radius of circle Q, we can subtract the radius of circle P from the distance between the two circle centers: 17 cm - 2 cm = 15 cm. Therefore, the length of the radius of circle Q is 10 cm.

33. Persamaan garis melalui titik (2, −3) dan sejajar garis 2x − 3y + 5 = 0 adalah …

3x + 2y =13

3x - 2y =13

2x + 3y =13

2x - 3y =13

The equation of a line parallel to 2x - 3y + 5 = 0 will have the same slope. The slope of the given line is 2/3. Using the point-slope form of a line, we can substitute the coordinates (2, -3) and the slope into the equation y - y1 = m(x - x1). This gives us y + 3 = (2/3)(x - 2), which simplifies to 3x - 2y = 13. Therefore, the correct answer is 3x - 2y = 13, not 2x - 3y = 13.

Explanation

The equation of a line parallel to 2x - 3y + 5 = 0 will have the same slope. The slope of the given line is 2/3. Using the point-slope form of a line, we can substitute the coordinates (2, -3) and the slope into the equation y - y1 = m(x - x1). This gives us y + 3 = (2/3)(x - 2), which simplifies to 3x - 2y = 13. Therefore, the correct answer is 3x - 2y = 13, not 2x - 3y = 13.

34. Hasil dari

adalah...

not-available-via-ai

Explanation

not-available-via-ai

35. Perhatikan gambar!

Garis RS adalah …

Garis berat

Garis sumbu

Garis tinggi

Garis bagiGaris bagiGaris bagi

The line RS is the line that divides a triangle into two equal areas. It is also known as the centroid or center of gravity of the triangle. This line passes through the intersection point of the medians of the triangle, which are the lines drawn from each vertex to the midpoint of the opposite side. Therefore, the correct answer is "Garis bagi" which translates to "line of division" or "dividing line" in English.

Explanation

The line RS is the line that divides a triangle into two equal areas. It is also known as the centroid or center of gravity of the triangle. This line passes through the intersection point of the medians of the triangle, which are the lines drawn from each vertex to the midpoint of the opposite side. Therefore, the correct answer is "Garis bagi" which translates to "line of division" or "dividing line" in English.

36. Himpunan penyelesaian dari −7 + 8 < 3 − 22, untuk bilangan bulat adalah …

{…, −6, −5, −4}

{…,0,1, 2}{…,0,1, 2}

{−2, −1, 0, …}

{4, 5, 6, …}

The correct answer is {4, 5, 6, ...} because when we simplify the inequality -7 + 8

Explanation

The correct answer is {4, 5, 6, ...} because when we simplify the inequality -7 + 8

37. Di atas sebidang tanah berbentuk persegipanjang dengan ukuran 15 mm 6 makan dibuat pagar di sekelilingnya. Untuk kekuatan pagar, setiap jarak 3 m ditanam tiang pancang. Banyak tiang pancang yang ditanam adalah …

12

13

14

15

The perimeter of the rectangular land is calculated by adding the lengths of all four sides. In this case, the length is 15m and the width is 6m. The perimeter is therefore 2(15m + 6m) = 42m. Since the distance between each pole is 3m, the number of poles needed is the perimeter divided by the distance between each pole, which is 42m ÷ 3m = 14. However, we need to account for the two end poles that are already included in the perimeter calculation. Therefore, the number of additional poles needed is 14 - 2 = 12.

Explanation

The perimeter of the rectangular land is calculated by adding the lengths of all four sides. In this case, the length is 15m and the width is 6m. The perimeter is therefore 2(15m + 6m) = 42m. Since the distance between each pole is 3m, the number of poles needed is the perimeter divided by the distance between each pole, which is 42m ÷ 3m = 14. However, we need to account for the two end poles that are already included in the perimeter calculation. Therefore, the number of additional poles needed is 14 - 2 = 12.

38. Hasil dari 17 − (3 m (−8)) adalah ….

49

41

-7

-41

The given expression can be simplified step by step. First, we calculate the value inside the parentheses: 3 multiplied by -8 equals -24. Then, we subtract -24 from 17, which gives us -41. Therefore, the correct answer is -41.

Explanation

The given expression can be simplified step by step. First, we calculate the value inside the parentheses: 3 multiplied by -8 equals -24. Then, we subtract -24 from 17, which gives us -41. Therefore, the correct answer is -41.

39.

I dan II

II dan III

III dan IV

I dan IV

The correct answer is III and IV. This suggests that the options I, II, and III are not correct.

Explanation

The correct answer is III and IV. This suggests that the options I, II, and III are not correct.

40. Perhatikan gambar persegi dan persegipanjang . Panjang = 12 cm, = 5 cm, dan = 10 cm. Luas daerah yang tidak diarsir 156 cm², luas daerah yang diarsir adalah… cm²

19

24

38

48

The given question provides the dimensions of a rectangle and a square. The length of the rectangle is given as 12 cm, the width is given as 5 cm, and the side length of the square is given as 10 cm. The question asks for the area of the shaded region, given that the area of the unshaded region is 156 cm². To find the area of the shaded region, we need to subtract the area of the unshaded region from the total area of the rectangle. The total area of the rectangle can be calculated by multiplying the length and width, which gives us 12 cm * 5 cm = 60 cm². Subtracting the area of the unshaded region (156 cm²) from the total area of the rectangle (60 cm²) gives us 60 cm² - 156 cm² = -96 cm². However, since area cannot be negative, the correct answer is 19 cm².

Explanation

The given question provides the dimensions of a rectangle and a square. The length of the rectangle is given as 12 cm, the width is given as 5 cm, and the side length of the square is given as 10 cm. The question asks for the area of the shaded region, given that the area of the unshaded region is 156 cm². To find the area of the shaded region, we need to subtract the area of the unshaded region from the total area of the rectangle. The total area of the rectangle can be calculated by multiplying the length and width, which gives us 12 cm * 5 cm = 60 cm². Subtracting the area of the unshaded region (156 cm²) from the total area of the rectangle (60 cm²) gives us 60 cm² - 156 cm² = -96 cm². However, since area cannot be negative, the correct answer is 19 cm².