Take your original equation
and multiply both sides by to remove the fractions. You are left with
So,
Update: There is no numerical answer that can be found without being given a value for either x or y
3.5h+10=5.25h-11
21=1.75h
12=h
3.5(12)+10=5.25(12)-11
52=52
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: A, C, and D
Step-by-step explanation:
A terminating decimal is a decimal that has an end. In other words, is one, but is not.
✓ A. 0.032
✗ B. 0.999...
✓ C. 0.525
✓ D. 0.75