Answer:
2/3
Step-by-step explanation:
Slope = ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
(-4,2) = (x1,y1)
(-16,-6) = (x2,y2)
Slope = ![\frac{-6-2}{-16+4}](https://tex.z-dn.net/?f=%5Cfrac%7B-6-2%7D%7B-16%2B4%7D)
= ![\frac{-8}{-12}](https://tex.z-dn.net/?f=%5Cfrac%7B-8%7D%7B-12%7D)
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Answer:
4 cm
Step-by-step explanation:
We're going through all the shapes.
A sphere has volume
![V_{\textrm{sphere}}= \frac 4 3 \pi r^3](https://tex.z-dn.net/?f=V_%7B%5Ctextrm%7Bsphere%7D%7D%3D%20%5Cfrac%204%203%20%5Cpi%20r%5E3%20)
A hemisphere has half the volume and a radius is half a diameter.
![V= \frac 1 2 (\frac 4 3) \pi (\frac d 2)^3 = \frac{1}{12} \pi d^3](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%201%202%20%28%5Cfrac%204%203%29%20%5Cpi%20%28%5Cfrac%20d%202%29%5E3%20%3D%20%5Cfrac%7B1%7D%7B12%7D%20%5Cpi%20d%5E3)
![V = \frac{\pi}{12} (8.9)^3 \approx 184.6 \textrm{ cc}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%5Cpi%7D%7B12%7D%20%288.9%29%5E3%20%5Capprox%20184.6%20%5Ctextrm%7B%20cc%7D)
Answer: 45
Step-by-step explanation: