D because square roots of negative numbers are imaginary
-- Supplementary angles add up to 180 degrees.
48 + S = 180
S = 180 - 48 = <em>132 degrees</em>
-- Complementary angles add up to 90 degrees.
48 + C = 90
C = 90 - 48 = <em>42 degrees</em>
There are 20 cups and each one holds 10 fluid ounces. Assuming that she wants to fill them all up to the brim and use the complete 10 fluid ounces for each cup this means she would have a total of 200 fluid ounces: 20 * 10 = 200
1 gallon = 4 quarts
1 quart = 32 fluid ounces
This means that for every gallon she has 128 fluid ounces: 1 gallon (4 quarts/1gallon)(32 fluid ounces/1 quart) = 128
This means she needs at least 200 fluid ounces and she must buy another gallon to satisfy this; 128 * 2 = 256 fluid ounces.
She needs to buy 2 gallons but will have an extra 56 fluid ounces
if it's diameter is 19, then its radius must be half that, or 9.5.
![\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9.5\\ h=4.5 \end{cases}\implies V=\pi (9.5)^2(4.5)\implies V\approx 1275.9~ft^3](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%5C%5C%5C%5C%20V%3D%5Cpi%20r%5E2%20h~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D9.5%5C%5C%20h%3D4.5%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Cpi%20%289.5%29%5E2%284.5%29%5Cimplies%20V%5Capprox%201275.9~ft%5E3)
