Answer:
(a)205
(b)5 Packages
Step-by-step explanation:
Therefore: 
Therefore, Volume of the lemonade Monica Started with is 
The diameter of the cup =8cm
Therefore, Radius =8/2 =4cm
Height of the Cup =11cm
Volume of a Cone=
The number of cups needed to empty the 10 gallon cooler =37850÷184.31
=205.36
Cups
(b)If the Cups are sold in packages of 50
Number of Package to be bought =205 ÷ 50 =4.1
She would need to buy 5 packages.
Answer:
A) 24
Step-by-step explanation:
Total weight - loaded weight = space remaining in the trailer: 1050kg - 82kg = 968kg
space remaining ÷ the number of transport: 968 ÷ 40 = 24.2 OR 24
Hope it helps you
Step-by-step explanation:
If you were to expand your research to include other genres, you'd find that most scenes in most movies are no more than three minutes long, which means no more than three pages of script. It's not an iron-clad rule; scenes can be twenty minutes long. But it's a very useful rule of thumb.
The formula is (number of sides-2)*180 over number of sides
Each angle for hexagon is 120degree because
(6-2)*180 over 6 equals to 120
So p is 120
For q:
2q=180-120
2q=60
q=60 over 2
q=30
P+Q=120+30
=150
well, looking at the picture of this vertically opening parabola, it has a vertex at 0,0 and it passes through 2,1 hmm ok
![~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y = a(x-0)^2+0\qquad \stackrel{\textit{we also know that}}{x=2\qquad y = 1}\qquad \implies 1=a(2-0)^2+0 \\\\\\ 1=4a\implies \cfrac{1}{4}=a~\hspace{10em} \boxed{y=\cfrac{1}{4}x^2}](https://tex.z-dn.net/?f=~~~~~~%5Ctextit%7Bvertical%20parabola%20vertex%20form%7D%20%5C%5C%5C%5C%20y%3Da%28x-%20h%29%5E2%2B%20k%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22a%22~is~negative%7D%7Bop%20ens~%5Ccap%7D%5Cqquad%20%5Cstackrel%7B%22a%22~is~positive%7D%7Bop%20ens~%5Ccup%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20y%20%3D%20a%28x-0%29%5E2%2B0%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Bwe%20also%20know%20that%7D%7D%7Bx%3D2%5Cqquad%20y%20%3D%201%7D%5Cqquad%20%5Cimplies%201%3Da%282-0%29%5E2%2B0%20%5C%5C%5C%5C%5C%5C%201%3D4a%5Cimplies%20%5Ccfrac%7B1%7D%7B4%7D%3Da~%5Chspace%7B10em%7D%20%5Cboxed%7By%3D%5Ccfrac%7B1%7D%7B4%7Dx%5E2%7D)
