The answer is -4 and 21
I am glad to help!
first off, let's notice that Purple's time is in minutes, whilst the rate is in miles per hour, the units of both must correspond, so, we can either change the time from minutes to hours or the rate from hours to minutes, hmmm let's change the time to hours.
so 40 minutes, we know there are 60 minutes in 1 hour, so 40 minutes will be 40/60 of an hr, or namely 2/3.
![\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cqquad%20%5Cqquad%20%5Ctextit%7Binverse%20proportional%20variation%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7By%7D%20varies%20inversely%20with%20%5Cunderline%7Bx%7D%7D%20~%5Chspace%7B6em%7D%20%5Cstackrel%7B%5Ctextit%7Bconstant%20of%20variation%7D%7D%7By%3D%5Ccfrac%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bk%7D%7D%7Bx%7D~%5Chfill%20%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7Bx%7D%20varies%20inversely%20with%20%7D%5Cunderline%7Bz%5E5%7D%20~%5Chspace%7B5.5em%7D%20%5Cstackrel%7B%5Ctextit%7Bconstant%20of%20variation%7D%7D%7Bx%3D%5Ccfrac%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bk%7D%7D%7Bz%5E5%7D~%5Chfill%20%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

Cylinder height = volume / PI * radius^2
cylinder height =1,205.76 / PI * 8^2
cylinder height =
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5.9969582557
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which I guess can be safely rounded to 6 inches
Source www.1728.com.diamform.htm
Answer:
12.6 feet
Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
The slope is also the tangent of the angle of the opposite side (rise) divided by the adjacent side (run)
In this problem
we have



substitute

