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  • What will that area of the AFK angle in the triangle below if they are of angle DFH 10?
    What will that area of the AFK angle in the triangle below if they are of angle DFH 10?
    Correct answer is option E The area of the triangle DFH is 10 and there are 4 small triangles within this area, since all the triangles are congruent and equilateral, it means the area of 4 small triangles is equal to 10 Area of DFH = Area of 4 small triangles = 10 To find the area of AFK which consist of 25 small triangles is to first divide 25 triangles by 4 triangles to find out how many 4 triangles AFK contains. 25/4 = 6.25 This means the big triangle (AFK) contains 6 (four triangles) and a quarter (of four triangles) Area of AFK = area of four triangles number of four triangles in the big triangle = 10 6.25 = 62.5 Therefore, the area of AFK is 62.5)

  • What does the author imply about the professional schoolmaster?
    What does the author imply about the professional schoolmaster?
    Thwarted attempts to enliven education -when we look back to line 7, we read, the professional schoolmaster was a match for both of them, and has almost managed to make the understanding of chemical reactions as dull and as dogmatic an affair as the reading of virgils aeneid.this tells us that the schoolmaster has made learning dull. and so we eliminate answers c and e which imply he has done something good.but to be sure of the answer we should also read the previous sentences. we learn that, the pioneers of the teaching of science imagined that its introduction into education would remove the conventionality, artificiality, and backward-lookingness which were characteristic of classical studies...... this section tells us that other people tried to alter the nature of education, but the professional schoolmaster was a match for both of them. he therefore prevented (thwarted) these attempts, and the answer is b.

  • Which option will best replace the italicized grammatical error in the sentence below? Even though Adam was a great roommate, Lionel hated his to sing in the shower.
    Which option will best replace the italicized grammatical error in the sentence below? Even though Adam was a great roommate, Lionel hated his to sing in the shower.
    To sing is an infinitive. Infinitives are used for five main reasons which are as the subject of the sentence, as a direct object, subject complement, an adjective or as an adverb. In this case, if the infinitive was being used accurately in the sentence, it would be a direct object. However, Lionel doesn’t hate his own singing, he hates Adam’s singing. This shouldn’t be an infinitive. The part “his to sing” should be changed to “his singing” because it is grammatically correct and it modifies and describes Adam’s singing. Therefore, a gerund must be used. Using the gerund in the sentence after the verb with a possessive pronoun would be the correct way of expressing the idea of this sentence.

  • Can you correct the mistake in the following?At the night club, the plain clothes detective noticed a dark-haired man's standing alone in the corner.
    Can you correct the mistake in the following?At the night club, the plain clothes detective noticed a dark-haired man's standing alone in the corner.
    Man s standingNoticed the dark-haired man, not specifically his standing.

  • If P and Q are two sets of numbers, and if every number in P is also in Q, which of the following CANNOT be true?
    If P and Q are two sets of numbers, and if every number in P is also in Q, which of the following CANNOT be true?
    The answer is 3. 6 is in p but not in q

  • What was the depth of the water at 4:00 P.M.? On the day of a rainstorm, the depth of the water at a certain location along the Winding River was recorded hourly, and the results are indicated...
    What was the depth of the water at 4:00 P.M.? On the day of a rainstorm, the depth of the water at a certain location along the Winding River was recorded hourly, and the results are indicated...
    The answer to this is C. You will be able to see this based on the given illustration. Based on the unit on the vertical axis that will show that the depth increases one foot each, you also need to compute that there will be an increase of 10% from 3PM to 4PM. It is already normal for the water levels to increase especially when there is heavy rain. It will be important for the water levels to be monitored especially if there is a chance that the water would spill or if there is a chance that there are areas that will become flooded because of the rainstorm.

  • Which of the following cannot be inferred from the following text?
    Which of the following cannot be inferred from the following text?
    It is relatively easy to learn scientific method. -this is an except question. be careful! you are looking for something that cannot be inferred from the text. we can find evidence that the author finds reactions interesting (line 9), and that children have learnt some facts (beginning of the second paragraph), and that he thinks teachers are strict (line 10 and part of paragraph 2). we can also infer from the use of the phrase privileged members (line 18) that he believes that not all received secondary education. but we find that he thinks it is hard to learn scientific method- the only way of learning the method of science is the long and bitter way of personal experience. and so we choose e.

  • How many sides doesthe polygon have if x + y = 80? In the figurebelow, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper.
    How many sides doesthe polygon have if x + y = 80? In the figurebelow, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper.
    The correct answer to this question is B, nine. The figure has four sides, which means that the sum of all the angles would be 360 degrees. Being that x plus y equals 80, the sum of the other two angles would be 280. With the sum of the other two angles being 280 and those angles have equal measurements, they must be 140 degrees. In equation form, this can be solved by the following:sum of all angles' measures =180(n-2), where n = number of sides 180 (3-2)=180 180 (4-2)=360 180 (5-2)=540 180 (6-2)=720 180 (7-2)=900 180 (8-2)=1080 180 (9-2)=1260 This is done by continuously adding 180 to the sides and increasing each side by 1.

  • Which of the following could express g in terms of f?
    Which of the following could express g in terms of f?
    G (x) = f(x) + 1 Function Composition" is applying one function to the results of another. (g º f)(x) = g(f(x)), first apply f(), then apply g() We must also respect the domain of the first function. Some functions can be de-composed into two (or more) simpler functions. Suppose you are given the two functions f (x) = 2x + 3 and g(x) = –x2 + 5. Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x" How to divide a function Leave the first fraction in the equation alone. Turn the division sign into a multiplication sign. Flip the second fraction over (find its reciprocal). Multiply the numerators (top numbers) of the two fractions together. ... Multiply the denominators (bottom numbers) of the two fractions together.

  • Can you correct the statement?I can't barely wait for her to give me the surprise.
    Can you correct the statement?I can't barely wait for her to give me the surprise.
    CI cannot wait for her to give me the surprise.

  • Can you correct the sentence?I can't barely wait for her to give me the surprise.
    Can you correct the sentence?I can't barely wait for her to give me the surprise.
    1. I cannot wait for her to give me the surprise.Choice C fixes the double negative in the sentence.

  • Which of the following options is correct?The ethical doctrine that actions are right because they are useful or of beneficial tendency.
    Which of the following options is correct?The ethical doctrine that actions are right because they are useful or of beneficial tendency.
    ​so good of a test anyway good luck next week for me and all the year 6​