The answer is 2
------------------------
Answer:
$46.40
Step-by-step explanation:
20% = .20
58/.20 = 11.6
58-11.6 = $46.40
Answer:
3017.54
Step-by-step explanation:
Volume for area of circle is A = Pie ( Or in this case 3.14 ) * radius ^ 2
Plug in the numbers 3.14 * 31 ^2
31 is half the diameter or the radius
Answer = 3017.54
Answer:
B
Step-by-step explanation:
![\boxed{area \: of \: sector = \frac{1}{2} {r}^{2} θ }](https://tex.z-dn.net/?f=%5Cboxed%7Barea%20%5C%3A%20of%20%5C%3A%20sector%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%7Br%7D%5E%7B2%7D%20%CE%B8%20%7D)
Radius= diameter ÷2
r= 32 ÷2
r= 16
![\frac{1}{2} {r}^{2} θ = \frac{512\pi}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%7Br%7D%5E%7B2%7D%20%CE%B8%20%3D%20%20%5Cfrac%7B512%5Cpi%7D%7B3%7D%20)
Substitute r= 16,
![\frac{1}{2} ( {16}^{2} )(θ) = \frac{512\pi}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%28%20%7B16%7D%5E%7B2%7D%20%29%28%CE%B8%29%20%3D%20%20%5Cfrac%7B512%5Cpi%7D%7B3%7D%20)
![128 \: θ = \frac{512\pi}{3} \\ θ = \frac{512\pi}{3} \div 128 \\ θ = \frac{512\pi}{384}](https://tex.z-dn.net/?f=128%20%5C%3A%20%CE%B8%20%3D%20%20%5Cfrac%7B512%5Cpi%7D%7B3%7D%20%20%5C%5C%20%CE%B8%20%3D%20%20%5Cfrac%7B512%5Cpi%7D%7B3%7D%20%20%5Cdiv%20128%20%5C%5C%20%CE%B8%20%3D%20%20%5Cfrac%7B512%5Cpi%7D%7B384%7D%20)
Divide the denominator and numerator by 128:
![θ = \frac{4\pi}{3}](https://tex.z-dn.net/?f=%CE%B8%20%3D%20%20%5Cfrac%7B4%5Cpi%7D%7B3%7D%20)
Thus, the answer is B.