Answer: 33
<u>Step-by-step explanation:</u>
The ratio of Adhy's to Ben's is 3:4 so let
Adhy = 3x
Ben = 4x
Since Ben = Adhy + 9
then 4x = 3x + 9
--> x = 9
So, Adhy = 3x = 3(9) = 27
Ben = 4x = 4(9) = 36
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The ratio of Ben's to Clayson's is 3:5
How do we get Ben's ratio of 3 equal to 36? <em>by multiplying by 12</em>
Ben : Clayson
<u>3 x 12</u> <u>5 x 12</u>
36 60
So, Clayson = 60
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The difference between Adhy and Clayson is:
Clayson - Adhy
60 - 27 = 33
The only option that fits is E, because:
f(10)=4×10+10=50
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<u><em>Answer:</em></u>sin (C)
<u><em>Explanation:</em></u><u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>
<span>
cos (theta) = </span>
<span>
tan (theta) = </span>
<span>
<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>
<span>
<u>Second option:</u>5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>
<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.
Hope this helps :)
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Answer:
f(1) = -3 f(n) = 2 f(n - 1) + 1 f(2)
Alternate form:
{f(n) = -f(1)/3, f(n - 1) = f(1)/2 - f(2)/2}