Answer:
121
Step-by-step explanation:
31+90 = 121
180 - 121 = 59
180 - 59 = 121
Answer: 10 + 6 + 2.00x + 1.50x = Answer
Step-by-step explanation:
Regroup terms:
y - 2/9 ≤ 5/9
Add 2/9 to both sides:
y ≤ 5/9 + 2/9
Simplify 5/9 + 2/9 to 7/9:
y ≤ 7/9
Volume of the orange juice in the carton = 10*6*8 = 480 cm^3
when its turned on its side we have the equation 6*20*h = 480 where h = required height
h = 480 / (6*20) = 480 / 120 = 4 cms
answer = 4 cm
well then, the volume of the nose cone will just be the sum of the volume of the cylinder below and the cone above.
since the diameter for both is 8, then their radius is half that, or 4.
![\bf \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\cfrac{\pi (4)^2(6)}{3}\implies V=32\pi \\\\\\ \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\pi (4)^2(6)\implies V=96\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the nose cone}}{32\pi +96\pi \implies 128\pi }\qquad \approx \qquad 402.12](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bvolume%20of%20a%20cone%7D%7D%7BV%3D%5Ccfrac%7B%5Cpi%20r%5E2%20h%7D%7B3%7D%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%20%5Ccline%7B1-1%7D%20r%3D4%5C%5C%20h%3D6%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B%5Cpi%20%284%29%5E2%286%29%7D%7B3%7D%5Cimplies%20V%3D32%5Cpi%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%7D%7BV%3D%5Cpi%20r%5E2%20h%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%20%5Ccline%7B1-1%7D%20r%3D4%5C%5C%20h%3D6%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Cpi%20%284%29%5E2%286%29%5Cimplies%20V%3D96%5Cpi%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bvolume%20of%20the%20nose%20cone%7D%7D%7B32%5Cpi%20%2B96%5Cpi%20%5Cimplies%20128%5Cpi%20%7D%5Cqquad%20%5Capprox%20%5Cqquad%20402.12)
