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
Therefore, the area of AFK is 62.5)
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.
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.
You would need to know what the text is in order to answer this question. Inference refers to a conclusion that you may have received based on reading certain text or data.
You need to know which of the given sentences cannot be inferred considering the text. It will be safe to say letter E because there are not enough details given about this that will allow you to reach this conclusion.
For the other given text, there are details that are available that will help you create your own own conclusion. There are various reactions that made the author create some conclusions regarding some of the ideas expressed above.
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.
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 (9-2)=1260 This is done by continuously adding 180 to the sides and increasing each side by 1.
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.