Answer:
B
Step-by-step explanation:
<u>This is a right triangle as shown by the right angle.</u>
- The side opposite the right angle is the hypotenuse, which is 9.
- The side opposite angle A is 3.
So we have the opposite of A and the hypotenuse.
The trigonometric ratio that relates opposite side to hypotenuse is SINE.
Since, we need angle A, 
is A, opposite side is 3, and hypotenuse is 9, we substitute:
<em>To solve for the angle, we use our calculator and find the inverse sin of 
:</em>
<em>Rounding to nearest tenth of a degree:</em>
B is the right choice.
We call x the 4 points-worth problems and y the 3 points-worth problems
You know that x+y = 32
4x+3y = 111
You know that the difference from the x and y is 32 so write:
x = 32-y
Substitute at x the value of 32-y
4(32-y)+3y = 111
128-4y +3y = 111
-4y+3y = 111-128
-y = -17
y = 17
Answer:
B. 5
Step-by-step explanation:
We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.
We know that two directly proportional quantities are in form 
, where,
k = Constant of variation.
Upon substituting our given values, we will get:
Therefore, the constant of variation is 5 and option B is the correct choice.
75.3982237 inches squared is the answer, round it to whatever decimal place your asked to.
A) True. The domain of both is: x ≥ 0
B) True. 1/2 is on the outside so it is vertical. 1/2 is between 0 and 1 so it shrinks.
C) False. the coefficient is not 2 (it is 1/2)
D) False. 1/2 is not on the inside with "x" so it is not horizontal.
Answer: A, B
