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Tamiku [17]
2 years ago
5

Hey please help me ASAP I will give you brainlest.

Mathematics
1 answer:
Volgvan2 years ago
8 0

Answer:

5cm

Step-by-step explanation:

volume = πr²h

225π = π × r² × 9

225/9 = r²

r = √225/9 = 15/3 = 5cm

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The answer is -4 and 21

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The time it takes to travel a fixed distance varies inversely with the speed traveled. It takes
uysha [10]

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

\stackrel{\begin{array}{llll} \textit{\tiny "t"ime varies}\\ \textit{\tiny inversely with "s"peed} \end{array}}{t = \cfrac{k}{s}}\qquad \textit{we know that} \begin{cases} t=\stackrel{minutes}{40}\to \stackrel{hrs}{\frac{2}{3}}\\ s=\stackrel{m/h}{9} \end{cases} \implies \cfrac{2}{3}~~ = ~~\cfrac{k}{9} \\\\\\ 18=3k\implies \cfrac{18}{3}=k\implies 6=k~\hfill \boxed{t=\cfrac{6}{s}} \\\\\\ \textit{when s = }\stackrel{m/h}{12}\textit{ what is "t"?}\qquad t=\cfrac{6}{12}\implies t=\cfrac{1}{2}

6 0
2 years ago
What is the height of a cylinder with a volume of 1205.76 cubic inches and a radius of 8 inches? Round to the nearest tenth of a
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Cylinder height = volume / PI * radius^2
cylinder height =1,205.76 / PI * 8^2
cylinder height = <span> <span> <span> 5.9969582557 </span> </span> </span>
which I guess can be safely rounded to 6 inches
Source www.1728.com.diamform.htm


3 0
3 years ago
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Kisachek [45]
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DedPeter [7]

Answer:

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Step-by-step explanation:

we know that

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The slope is also the tangent of the angle of the opposite side (rise) divided by the adjacent side (run)

In this problem

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substitute

tan(6^o)=\frac{rise}{120}

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8 0
3 years ago
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