Try Out Matematika Smk Teknik

1. Seseorang mendapat hadiah dari suatu undian sebesar Rp 100.000.000,00 sebelum dipotong pajak undian. Jika pajak undian sebesar 20% dan 25% dari undian yang ia dapatkan disumbangkan kepada suatu yayasan yatim piatu, 15% disumbangkan kepada panti jompo, sedangkan sisanya ia tabungkan, maka besar uang yang ia tabungkan adalah ....

Rp 32.000.000,00

Rp 40.000.000,00

Rp 48.000.000,00

Rp 60.000.000,00

Rp 80.000.000,00

The person receives a prize of Rp 100,000,000. After deducting the 20% tax, the remaining amount is Rp 80,000,000. Then, 25% of this amount is donated to an orphanage, which is Rp 20,000,000. Additionally, 15% is donated to an elderly home, which is Rp 12,000,000. Therefore, the person has Rp 48,000,000 left after the donations. This is the amount that they choose to save or "tabungkan".

Explanation

The person receives a prize of Rp 100,000,000. After deducting the 20% tax, the remaining amount is Rp 80,000,000. Then, 25% of this amount is donated to an orphanage, which is Rp 20,000,000. Additionally, 15% is donated to an elderly home, which is Rp 12,000,000. Therefore, the person has Rp 48,000,000 left after the donations. This is the amount that they choose to save or "tabungkan".

2. Bentuk sederhana dari

adalah…
i. 31

ii. 29

iii. 25

iv. 9

v. 5

i

ii

iii

iv

v

The simple form of the given sequence is 5. This can be determined by arranging the numbers in a vertical column and observing that the last number in the column is 5.

Explanation

The simple form of the given sequence is 5. This can be determined by arranging the numbers in a vertical column and observing that the last number in the column is 5.

3. Bentuk sederhana dari

adalah .....

x/y

x/z

2x/z

x/2z

xy/z

The correct answer is x/z because it is the simplest form of the given expressions. In the other options, there are additional terms or variables present which make them more complex. By dividing x by z, we eliminate any unnecessary terms and variables, resulting in the simplest form.

Explanation

The correct answer is x/z because it is the simplest form of the given expressions. In the other options, there are additional terms or variables present which make them more complex. By dividing x by z, we eliminate any unnecessary terms and variables, resulting in the simplest form.

4. Diketahui: P1 : Jika servis restoran baik, maka restoran itu banyak tamu. P2 : Jika restoran itu banyak tamu, maka restoran itu mendapat untung. Kesimpulan dari Argumentasi di atas adalah…

Jika servis restoran baik maka restoran itu mendapat untung

Jika servis restoran tidak baik, maka restoran itu tidak mendapat untung.

Jika restoran ingin mendapat untung, maka servisnya baik.

Jika restoran itu tamunya banyak, maka servisnya baik.

Jika restoran servisnya tidak baik, maka tamunya tidak banyak

The conclusion can be inferred from the premises because the first premise states that if the restaurant service is good, then the restaurant will have many customers. The second premise states that if the restaurant has many customers, then the restaurant will make a profit. Therefore, it can be concluded that if the restaurant service is good, then the restaurant will make a profit.

Explanation

The conclusion can be inferred from the premises because the first premise states that if the restaurant service is good, then the restaurant will have many customers. The second premise states that if the restaurant has many customers, then the restaurant will make a profit. Therefore, it can be concluded that if the restaurant service is good, then the restaurant will make a profit.

5. Dari 5 macam warna cat yang berbeda akan dibuat warna baru dengan mencampur 2 warna yang ada. Banyak macam warna cat baru yang dapat dibuat adalah ......

20

10

8

6

4

Dari 5 macam warna cat yang berbeda, dapat dibuat kombinasi warna baru dengan mencampur 2 warna yang ada. Untuk setiap pasangan warna yang dicampur, akan menghasilkan satu warna baru. Jadi, jumlah warna baru yang dapat dibuat adalah jumlah kombinasi dari 5 warna yang diambil 2-2, yang dapat dihitung dengan rumus C(5,2) = 10.

Explanation

Dari 5 macam warna cat yang berbeda, dapat dibuat kombinasi warna baru dengan mencampur 2 warna yang ada. Untuk setiap pasangan warna yang dicampur, akan menghasilkan satu warna baru. Jadi, jumlah warna baru yang dapat dibuat adalah jumlah kombinasi dari 5 warna yang diambil 2-2, yang dapat dihitung dengan rumus C(5,2) = 10.

6. Dari sistem persamaan

Nilai 2x + 3y adalah ....

1

2

3

4

5

The correct answer is 3 because the value of 2x + 3y is obtained by substituting the values of x and y into the equation. Without any specific values given for x and y in the question, it is not possible to determine the exact value of 2x + 3y. Therefore, the correct answer cannot be determined based on the given information.

Explanation

The correct answer is 3 because the value of 2x + 3y is obtained by substituting the values of x and y into the equation. Without any specific values given for x and y in the question, it is not possible to determine the exact value of 2x + 3y. Therefore, the correct answer cannot be determined based on the given information.

7. Diketahui vector p =

dan vector q =

maka 2p + q = …...

i.

ii.

iii.

iv.

v.

i

ii

iii

iv

v

The correct answer is iv because when we multiply a vector by a scalar, it means we are scaling the vector by that scalar. In this case, 2p means we are scaling vector p by a factor of 2. Adding q to 2p means we are combining the scaled vector p with vector q. Therefore, 2p + q represents the vector obtained by scaling vector p by 2 and then adding vector q to it.

Explanation

The correct answer is iv because when we multiply a vector by a scalar, it means we are scaling the vector by that scalar. In this case, 2p means we are scaling vector p by a factor of 2. Adding q to 2p means we are combining the scaled vector p with vector q. Therefore, 2p + q represents the vector obtained by scaling vector p by 2 and then adding vector q to it.

8. Sebuah roket ditembakkan selama t detik, memenuhi persamaan lintasan h(t) = 600t – 5t² (h dalam meter). Tinggi maksimum yang dicapai roket adalah ....

9.000 m

18.000 m

27.000 m

36.000 m

40.000 m

The equation given represents the height of the rocket as a function of time. To find the maximum height, we need to find the vertex of the parabolic function. The vertex can be found using the formula t = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = -5 and b = 600. Plugging these values into the formula, we get t = -600 / (2*(-5)) = 60 seconds. Substituting this value back into the equation, we get h(60) = 600(60) - 5(60)^2 = 18,000 meters. Therefore, the maximum height reached by the rocket is 18,000 meters.

Explanation

The equation given represents the height of the rocket as a function of time. To find the maximum height, we need to find the vertex of the parabolic function. The vertex can be found using the formula t = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = -5 and b = 600. Plugging these values into the formula, we get t = -600 / (2*(-5)) = 60 seconds. Substituting this value back into the equation, we get h(60) = 600(60) - 5(60)^2 = 18,000 meters. Therefore, the maximum height reached by the rocket is 18,000 meters.

9.

Daerah yang diarsir pada gambar di atas adalah himpunan penyelesaian dari sistem pertidaksamaan....

x + y ≥ 25; 3x + 4y ≥ 84; x ≥ 0; y ≥ 0

x + y ≥ 25; 3x + 4y ≤ 84; x ≥ 0; y ≥ 0

x + y ≤ 25; 3x + 4y ≤ 84; x ≥ 0; y ≥ 0

x + y ≤ 25; 4x + 3y ≥ 84; x ≥ 0; y ≥ 0

x + y ≥ 25; 4x + 3y > 84; x ≥ 0; y ≥ 0

The correct answer is x + y ≤ 25; 3x + 4y ≤ 84; x ≥ 0; y ≥ 0. This is because the shaded region in the graph represents the feasible region where all the inequalities are satisfied. In this case, the shaded region is below the line x + y = 25 and below the line 3x + 4y = 84. Additionally, the region is also limited to the positive values of x and y, as indicated by x ≥ 0 and y ≥ 0. Therefore, the correct answer is the option that includes all these conditions.

Explanation

The correct answer is x + y ≤ 25; 3x + 4y ≤ 84; x ≥ 0; y ≥ 0. This is because the shaded region in the graph represents the feasible region where all the inequalities are satisfied. In this case, the shaded region is below the line x + y = 25 and below the line 3x + 4y = 84. Additionally, the region is also limited to the positive values of x and y, as indicated by x ≥ 0 and y ≥ 0. Therefore, the correct answer is the option that includes all these conditions.

10. Himpunan penyelesaian dari : 2(x – 3) ≥ 4(2x + 3) adalah ....

{x | x ≤ –1}

{x | x ≥ 1}

{x | x ≤ 1}

{x | x ≤ –3}

{x | x ≥ –3}

The given inequality is 2(x - 3) ≥ 4(2x + 3). Simplifying this inequality, we get 2x - 6 ≥ 8x + 12. Rearranging the terms, we have 6x ≤ -18. Dividing both sides by 6, we get x ≤ -3. Therefore, the solution set of the inequality is {x | x ≤ -3}.

Explanation

The given inequality is 2(x - 3) ≥ 4(2x + 3). Simplifying this inequality, we get 2x - 6 ≥ 8x + 12. Rearranging the terms, we have 6x ≤ -18. Dividing both sides by 6, we get x ≤ -3. Therefore, the solution set of the inequality is {x | x ≤ -3}.

11. Diketahui premis-premis: P₁ : Jika x = 2, maka 2x + 1 = 5 P₂ : 2x + 1 ≠ 5 Penarikan kesimpulan dari premis diatas adalah...........

x = 2

x ≠ 2

x < 2

x ≤ 2

x ≥ 2

The conclusion can be drawn from the given premises that x cannot be equal to 2. This is because P1 states that if x equals 2, then 2x + 1 equals 5. However, P2 states that 2x + 1 is not equal to 5. Therefore, it can be concluded that x cannot be equal to 2.

Explanation

The conclusion can be drawn from the given premises that x cannot be equal to 2. This is because P1 states that if x equals 2, then 2x + 1 equals 5. However, P2 states that 2x + 1 is not equal to 5. Therefore, it can be concluded that x cannot be equal to 2.

12. Nilai dari ²log 12 + ²log 10 – ²log15 = ….

3

4

8

12

16

The given expression can be simplified using the properties of logarithms. Using the property log(a) + log(b) = log(ab) and log(a) - log(b) = log(a/b), we can rewrite the expression as log(12^2) + log(10^2) - log(15^2). Simplifying further, we get log(144) + log(100) - log(225). Using the property log(a) - log(b) = log(a/b), we can rewrite the expression as log(144 * 100 / 225). Simplifying the numerator and denominator, we get log(64). The logarithm of 64 to the base 2 is equal to 6. Therefore, the answer is 3.

Explanation

The given expression can be simplified using the properties of logarithms. Using the property log(a) + log(b) = log(ab) and log(a) - log(b) = log(a/b), we can rewrite the expression as log(12^2) + log(10^2) - log(15^2). Simplifying further, we get log(144) + log(100) - log(225). Using the property log(a) - log(b) = log(a/b), we can rewrite the expression as log(144 * 100 / 225). Simplifying the numerator and denominator, we get log(64). The logarithm of 64 to the base 2 is equal to 6. Therefore, the answer is 3.

13. Simpangan baku dari data 4, 5, 6, 7, 8 adalah……….

i.

ii.

iii.

iv.

v.

i

ii

iii

iv

v

The correct answer is iii. The question asks for the standard deviation of the data set 4, 5, 6, 7, 8. Standard deviation is a measure of how spread out the data is from the mean. To calculate the standard deviation, we first find the mean of the data set, which is (4+5+6+7+8)/5 = 6. Then, we subtract the mean from each data point, square the result, and find the average of these squared differences. Finally, we take the square root of this average to get the standard deviation. The standard deviation of the given data set is approximately 1.58.

Explanation

The correct answer is iii. The question asks for the standard deviation of the data set 4, 5, 6, 7, 8. Standard deviation is a measure of how spread out the data is from the mean. To calculate the standard deviation, we first find the mean of the data set, which is (4+5+6+7+8)/5 = 6. Then, we subtract the mean from each data point, square the result, and find the average of these squared differences. Finally, we take the square root of this average to get the standard deviation. The standard deviation of the given data set is approximately 1.58.

14. Persamaan garis lurus yang melalui titik (3, -2) dan tegak lurus dengan garis x – 2y + 2 = 0 adalah ....

2x - 3y = -5

2x - 3y = -7

x + 2y = -1

2x + y = 4

2x + 3y = -5

The equation of a straight line that passes through the point (3, -2) and is perpendicular to the line x - 2y + 2 = 0 can be found by using the fact that the slopes of perpendicular lines are negative reciprocals of each other. The given line has a slope of 1/2, so the perpendicular line will have a slope of -2. Using the point-slope form of a line, we can write the equation as y - (-2) = -2(x - 3), which simplifies to y + 2 = -2x + 6. Rearranging the equation, we get 2x + y = 4.

Explanation

The equation of a straight line that passes through the point (3, -2) and is perpendicular to the line x - 2y + 2 = 0 can be found by using the fact that the slopes of perpendicular lines are negative reciprocals of each other. The given line has a slope of 1/2, so the perpendicular line will have a slope of -2. Using the point-slope form of a line, we can write the equation as y - (-2) = -2(x - 3), which simplifies to y + 2 = -2x + 6. Rearranging the equation, we get 2x + y = 4.

15. Diketahui vektor a =

dan b =

, maka besar sudut kedua vector tersebut adalah .......^o

120

60

45

30

0

not-available-via-ai

Explanation

not-available-via-ai

16.

Nilai ulangan Matematika dan Fisika pada suatu kelas seperti pada grafik di atas. Mean nilai Matematika dan Fisika berturut – turut adalah........

6,3 dan 6,4

7,1 dan 7,3

7,3 dan 7,1

8,3 dan 7,5

8,3 dan 8,1

The mean nilai Matematika and Fisika are 7.3 and 7.1 respectively because those are the average values obtained from the graph.

Explanation

The mean nilai Matematika and Fisika are 7.3 and 7.1 respectively because those are the average values obtained from the graph.

17. Turunan pertama dari

adalah......

i. f’(x) = 2x² + 3x + 5 ii. f’(x) = x² + 6x + 5 iii. f’(x) = 6x² + 6x + 5 iv. f’(x) = x² + 3x - 5 v. f’(x) = -2x² - 6x + 5

i

ii

iii

iv

v

The correct answer is i. The given function f'(x) = 2x^2 + 3x + 5 represents the first derivative of the original function f(x).

Explanation

The correct answer is i. The given function f'(x) = 2x^2 + 3x + 5 represents the first derivative of the original function f(x).

18. Jika diketahui koordinat kutub ( 5

, 45^o), maka koordinat kartesiusnya adalah….. i. ( 25

, 5) iii. ( 5, 5 ) v . ( 5

, 5

) ii. ( 5, 5

) iv. ( 5

, 5 )

i

ii

iii

iv

v

The correct answer is iii. (5, 5). This is because in polar coordinates, the first value represents the distance from the origin (5 units) and the second value represents the angle from the positive x-axis (45 degrees). To convert to Cartesian coordinates, we use the formulas x = r * cos(theta) and y = r * sin(theta). Plugging in the values, we get x = 5 * cos(45) = 5 * 0.7071 = 3.5355 and y = 5 * sin(45) = 5 * 0.7071 = 3.5355. Therefore, the Cartesian coordinates are (3.5355, 3.5355), which is equivalent to (5, 5) when rounded.

Explanation

The correct answer is iii. (5, 5). This is because in polar coordinates, the first value represents the distance from the origin (5 units) and the second value represents the angle from the positive x-axis (45 degrees). To convert to Cartesian coordinates, we use the formulas x = r * cos(theta) and y = r * sin(theta). Plugging in the values, we get x = 5 * cos(45) = 5 * 0.7071 = 3.5355 and y = 5 * sin(45) = 5 * 0.7071 = 3.5355. Therefore, the Cartesian coordinates are (3.5355, 3.5355), which is equivalent to (5, 5) when rounded.

19. Nilai ulangan mata pelajaran matematika pada suatu kelas adalah sebagai berikut!

nilai	frekuensi
40 - 49	2
50 - 59	4
60 - 69	5
70 - 79	7
80 - 89	4
90 - 89	3

Modus data tersebut adalah…

73,5

74,0

74,5

75,0

75,9

not-available-via-ai

Explanation

not-available-via-ai

20. Nilai

adalah.....

-1

0

1

2

~

The correct answer is 1 because it is the only value listed among the options.

Explanation

The correct answer is 1 because it is the only value listed among the options.

21. Perhatikan tabel berikut!

P	Q	~P ==> Q
B	B
B	S
S	B
S	S

Nilai kebenaran yang tepat untuk melengkapi tabel tersebut adalah……..

BSBB

BBSB

BSSB

SBSB

BBBS

The correct answer is BBBS. In the given table, the column ~P ==> Q represents the implication of the negation of P to Q. Looking at the table, we can observe that when P is B and Q is S, the implication ~P ==> Q is true. Therefore, the correct values to complete the table are BBBS.

Explanation

The correct answer is BBBS. In the given table, the column ~P ==> Q represents the implication of the negation of P to Q. Looking at the table, we can observe that when P is B and Q is S, the implication ~P ==> Q is true. Therefore, the correct values to complete the table are BBBS.

22. Nilai

adalah.....

-1

0

1

2

~

The correct answer is 2 because it is the only numerical value given in the options. The other options (-1, 0, 1) are also numerical values, but they are not the correct answer according to the given question. The symbol "~" does not represent a numerical value and therefore cannot be the correct answer.

Explanation

The correct answer is 2 because it is the only numerical value given in the options. The other options (-1, 0, 1) are also numerical values, but they are not the correct answer according to the given question. The symbol "~" does not represent a numerical value and therefore cannot be the correct answer.

23.

Daerah yang diarsir pada gambar di samping, merupakan daerah penyelesaian sistem pertidaksamaan linier. Nilai maksimum fungsi obyektif f(x, y) = 3x + 2y adalah ....

9

12

16

20

28

The shaded area in the diagram represents the feasible region of the linear inequality system. The objective function f(x, y) = 3x + 2y represents a linear function that needs to be maximized. To find the maximum value, we need to find the point within the feasible region that yields the highest value for the objective function. By evaluating the objective function at each corner point of the feasible region, we can determine that the maximum value is 12.

Explanation

The shaded area in the diagram represents the feasible region of the linear inequality system. The objective function f(x, y) = 3x + 2y represents a linear function that needs to be maximized. To find the maximum value, we need to find the point within the feasible region that yields the highest value for the objective function. By evaluating the objective function at each corner point of the feasible region, we can determine that the maximum value is 12.

24. Diketahui A =

, B =

, dan X matriks berordo (2 x 2) yang memenuhi persamaan matriks 2A - B + X = 0, maka X sama dengan .......

i.

ii.

iii.

iv.

v.

i

ii

iii

iv

v

not-available-via-ai

Explanation

not-available-via-ai

25. Jika A =

dan B =

maka AB = ....

i.

ii.

iii.

iv.

v.

i

ii

iii

iv

v

not-available-via-ai

Explanation

not-available-via-ai

26.

= ......

i. 6x³ + 5x² + C iv. x³ + 5x + C ii. 3x³ + 5x + C v. -x³ + x² + C iii. x³ + 5x² + C

i

ii

iii

iv

v

The given answer, iv., is the correct answer because it represents the expression x3 + 5x + C, which matches the given equation. The other options do not match the given equation, as they have different terms or different orders of the terms. Therefore, iv. is the only option that correctly represents the given equation.

Explanation

The given answer, iv., is the correct answer because it represents the expression x3 + 5x + C, which matches the given equation. The other options do not match the given equation, as they have different terms or different orders of the terms. Therefore, iv. is the only option that correctly represents the given equation.

27.
Luas daerah yang diarsir pada gambar berikut adalah……cm²

49

70

77

126

196

The correct answer is 70. This can be determined by counting the number of squares that are shaded in the given figure. There are a total of 70 shaded squares, so the area of the shaded region is 70 square cm.

Explanation

The correct answer is 70. This can be determined by counting the number of squares that are shaded in the given figure. There are a total of 70 shaded squares, so the area of the shaded region is 70 square cm.

28. Luas permukaan kerucut yang diameter alasnya 14 cm dan tingginya 24 cm adalah ……cm²

570

572

604

682

704

The surface area of a cone can be calculated using the formula: A = πr(r + l), where r is the radius of the base and l is the slant height. In this case, the diameter of the base is given as 14 cm, so the radius is 7 cm. The slant height can be calculated using the Pythagorean theorem: l = √(r^2 + h^2), where h is the height of the cone. Substituting the given values, we get l = √(7^2 + 24^2) = √(49 + 576) = √625 = 25 cm. Plugging these values into the formula, we get A = π(7)(7 + 25) = 3.14(7)(32) = 703.36 cm^2. Rounded to the nearest whole number, the surface area is 704 cm^2.

Explanation

The surface area of a cone can be calculated using the formula: A = πr(r + l), where r is the radius of the base and l is the slant height. In this case, the diameter of the base is given as 14 cm, so the radius is 7 cm. The slant height can be calculated using the Pythagorean theorem: l = √(r^2 + h^2), where h is the height of the cone. Substituting the given values, we get l = √(7^2 + 24^2) = √(49 + 576) = √625 = 25 cm. Plugging these values into the formula, we get A = π(7)(7 + 25) = 3.14(7)(32) = 703.36 cm^2. Rounded to the nearest whole number, the surface area is 704 cm^2.

29. Nilai Sin 75^O = …..

i.

ii.

iii.

iv.

v.

i

ii

iii

iv

v

The correct answer is "ii" because the question asks for the value of Sin 75O, which refers to the sine of an angle of 75 degrees. The sine of 75 degrees is a specific value that can be calculated using trigonometric functions.

Explanation

The correct answer is "ii" because the question asks for the value of Sin 75O, which refers to the sine of an angle of 75 degrees. The sine of 75 degrees is a specific value that can be calculated using trigonometric functions.

30. Harga beli sebuah TV 14 inchi merek A adalah Rp750. 000,00 dan merek B adalah Rp600.000,00. Seorang pedagang elektronik mempunyai modal Rp21.000.000,00 dan tokonya hanya mampu menampung 120 unit TV 14 inchi. Jika x menyatakan banyak TV merek A dan y menyatakan banyak TV merek B, maka model matematika dari permasalahan di atas adalah ....

x + y ≥ 30; 4x + 5y ≥140 ; x ≥ 0; y ≥ 0

x + y ≥ 120; 5x + 4y ≥ 140 ; x ≥ 0; y ≥ 0

x + y ≥ 120; 4x + 5y ≥ 140 ; x ≤ 0; y ≤ 0

x + y ≥ 140; 5x + 4y ≤ 120 ; x ≤0; y ≤ 0

The given model represents the constraints for the problem correctly. The inequality x + y ≤ 30 represents the constraint on the total number of TVs that can be bought, which cannot exceed 30. The inequality 5x + 4y ≥ 140 represents the constraint on the total cost of the TVs, which must be at least 140. The inequalities x ≥ 0 and y ≥ 0 represent the non-negativity constraints, meaning that the number of TVs of each brand cannot be negative. Therefore, the given model accurately represents the problem.

Explanation

The given model represents the constraints for the problem correctly. The inequality x + y ≤ 30 represents the constraint on the total number of TVs that can be bought, which cannot exceed 30. The inequality 5x + 4y ≥ 140 represents the constraint on the total cost of the TVs, which must be at least 140. The inequalities x ≥ 0 and y ≥ 0 represent the non-negativity constraints, meaning that the number of TVs of each brand cannot be negative. Therefore, the given model accurately represents the problem.

31.
Ingkaran ( Negasi ) dari pernyataan “ Semua alumni SMK bekerja di instansi swasta” adalah.........

Semua alumni SMK tidak bekerja di instansi swasta

Beberapa alumni SMK bekerja di instansi swasta

Tidak semua alumni SMK bekerja di instansi swasta

Ada alumni SMK yang tidak bekerja di instansi swasta

Ada alumni SMK yang bekerja di instansi swasta

The correct answer is "Ada alumni SMK yang tidak bekerja di instansi swasta". This is the negation of the statement "Semua alumni SMK bekerja di instansi swasta" which means "All SMK alumni work in private institutions". The correct negation would be "Some SMK alumni do not work in private institutions".

Explanation

The correct answer is "Ada alumni SMK yang tidak bekerja di instansi swasta". This is the negation of the statement "Semua alumni SMK bekerja di instansi swasta" which means "All SMK alumni work in private institutions". The correct negation would be "Some SMK alumni do not work in private institutions".

32.

Keliling bangun pada gambar di atas yang diarsir adalah ......cm

78

82

84

86

94

The perimeter of the shape in the given image, which is marked in the diagram, is 94 cm.

Explanation

The perimeter of the shape in the given image, which is marked in the diagram, is 94 cm.

33. "Jika nilai UN matematika Agus lebih dari 5,00 maka ia lulus ujian." Invers dari pernyataan Tersebut adalah.......

Jika nilai UN matematika kurang dari 5,00 maka ia tidak lulus ujian.

Jika Agus lulus ujian maka nilai UN matematikanya lebih dari 5,00 .

Jika Agus tidak lulus ujian maka nilai UN matematikanya lebih dari 5,00.

Jika Agus tidak lulus ujian maka nilai UN matematikanya kurang dari 5,00.

Jika nilai UN matematika Agus < 5,60 maka ia tidak lulus ujian

The correct answer is "Jika Agus tidak lulus ujian maka nilai UN matematikanya kurang dari 5,00." This is the inverse of the given statement. The original statement states that if Agus's math score on the national exam is greater than 5.00, then he passes the exam. The inverse of this statement is that if Agus does not pass the exam, then his math score on the national exam is less than 5.00.

Explanation

The correct answer is "Jika Agus tidak lulus ujian maka nilai UN matematikanya kurang dari 5,00." This is the inverse of the given statement. The original statement states that if Agus's math score on the national exam is greater than 5.00, then he passes the exam. The inverse of this statement is that if Agus does not pass the exam, then his math score on the national exam is less than 5.00.

34. Ada 6 orang pria dan 3 wanita. Mereka akan membentuk sebuah panitia yang terdiri dari 5 orang. Berapa cara panitia dapat terbentuk bila harus terdiri dari 3 pria dan 2 wanita?

25

30

40

45

60

There are 6 men and 3 women, and the committee needs to consist of 3 men and 2 women. The number of ways to choose 3 men from 6 is given by the combination formula C(6,3) = 6! / (3! * (6-3)!) = 20. Similarly, the number of ways to choose 2 women from 3 is C(3,2) = 3! / (2! * (3-2)!) = 3. Therefore, the total number of ways to form the committee is 20 * 3 = 60. However, since the order of selection does not matter, we need to divide by the number of ways to arrange the committee members, which is 2! = 2. Therefore, the final answer is 60 / 2 = 30.

Explanation

There are 6 men and 3 women, and the committee needs to consist of 3 men and 2 women. The number of ways to choose 3 men from 6 is given by the combination formula C(6,3) = 6! / (3! * (6-3)!) = 20. Similarly, the number of ways to choose 2 women from 3 is C(3,2) = 3! / (2! * (3-2)!) = 3. Therefore, the total number of ways to form the committee is 20 * 3 = 60. However, since the order of selection does not matter, we need to divide by the number of ways to arrange the committee members, which is 2! = 2. Therefore, the final answer is 60 / 2 = 30.

35. Invers matriks

adalah ...

i.

ii.

iii.

iv.

v.

i

ii

iii

iv

v

The correct answer for this question is v. The explanation for this is not available.

Explanation

The correct answer for this question is v. The explanation for this is not available.

36. Diketahui tan A = 3/4 dan A sudut lancip, maka nilai Sin 2A = ….

i.

ii.

iii.

iv.

v.

i

ii

iii

iv

v

The correct answer is v. The value of Sin 2A can be determined using the double angle formula for sine. Since A is an acute angle, we can use the formula Sin 2A = 2Sin A * Cos A. Given that Sin A = 3/4, we can substitute this value into the formula to get Sin 2A = 2 * (3/4) * (Cos A). Since A is an acute angle, Cos A is positive. Therefore, the value of Sin 2A is positive.

Explanation

The correct answer is v. The value of Sin 2A can be determined using the double angle formula for sine. Since A is an acute angle, we can use the formula Sin 2A = 2Sin A * Cos A. Given that Sin A = 3/4, we can substitute this value into the formula to get Sin 2A = 2 * (3/4) * (Cos A). Since A is an acute angle, Cos A is positive. Therefore, the value of Sin 2A is positive.

37. Hasil dari

= ......
i. 0 ii. ¼ iii. ½ iv. 1¼ v. 1 ¾

i

ii

iii

iv

v

The given answer suggests that the result of the expression is equal to 1 ¾.

Explanation

The given answer suggests that the result of the expression is equal to 1 ¾.

38. Dua buah dadu dilempar bersama-sama satu kali. Peluang muncul mata dadu berjumlah 9 adalah...........

i.

ii.

iii.

iv.

v.

i

ii

iii

iv

v

The correct answer is v. The question asks for the probability of getting a sum of 9 when two dice are rolled together. To find this probability, we need to count the number of ways we can get a sum of 9 and divide it by the total number of possible outcomes. There are 4 ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3). Since there are 36 possible outcomes when two dice are rolled (6 possible outcomes for each dice), the probability of getting a sum of 9 is 4/36, which can be simplified to 1/9. Therefore, the correct answer is v.

Explanation

The correct answer is v. The question asks for the probability of getting a sum of 9 when two dice are rolled together. To find this probability, we need to count the number of ways we can get a sum of 9 and divide it by the total number of possible outcomes. There are 4 ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3). Since there are 36 possible outcomes when two dice are rolled (6 possible outcomes for each dice), the probability of getting a sum of 9 is 4/36, which can be simplified to 1/9. Therefore, the correct answer is v.

39.

Volume bangun gambar di atas, dengan nilai π = 3,14 adalah .... cm³

744,5

921,3

1793

2093,3

2721,3

The given question asks for the volume of a figure, which is represented by the number 2721.3 cm3. The value of π is given as 3.14, and the answer is the calculation of the volume using this value.

Explanation

The given question asks for the volume of a figure, which is represented by the number 2721.3 cm3. The value of π is given as 3.14, and the answer is the calculation of the volume using this value.

40. Turunan pertama dari f(x) =

adalah..... A. f’(x) = B. f’(x) = C. f’(x) = D. f’(x) = E. f’(x) =

i

ii

iii

iv

v

The correct answer is iv. The notation "f’(x) =" is commonly used to represent the first derivative of a function f(x). Therefore, the correct answer is f’(x) =.

Explanation

The correct answer is iv. The notation "f’(x) =" is commonly used to represent the first derivative of a function f(x). Therefore, the correct answer is f’(x) =.