Answer:
<h2>6</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>let's solve:</h3>
- substitute the value of y:2²-2.2+6
- simplify exponent:4-2.2+6
- simplify multiplication;4-4+6
- simplify addition:4+2
- simplify addition:6
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:
Direct variation has the form y=kx, given k=7 and x=20
y=7(20)=140
Answer: 1 and 3
Step-by-step explanation:
4•3=12 and 2•3=6