Answer:
D. none of the above.
Step-by-step explanation:
Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

2) From which you can find:

3) Replace sin(α) with 1/4
=>

=>

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =

.
And that is the answer.
Answer:

Step-by-step explanation:
Similar shapes with scale factor
have proportional volumes with coefficient
i.e.

where

Since

then

Hence,

Answer:
A=28.27
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable
x is equal to y/12