Answer:
10.5 ft.
Step-by-step explanation:
1. Find the radius of the larger circle
4/7 = 3/r --> the ratio should be <em>constant</em>
cross-multiplication: <em>21 = 4r</em>
Divide: <em>r = 5.25 ft.</em>
2. Find the circumference
Equation: <em>C = 2πr</em>
C = <em>2π*5.25</em>
C = 10.5π ft.
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:
-2(2x-1)
Step-by-step explanation:
x+4-5x-2
1) collect like like terms
-4x+2
2) factor out the -2
-2(2x-1)
3) that gives you the final answer of
-2(2x-1)