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Artyom0805 [142]
3 years ago
9

Select all the terms which are equivalent to the slope in a proportional relationship.

Mathematics
2 answers:
nlexa [21]3 years ago
7 0

Answer:

orgin, constant of p,

and unit rate

Step-by-step explanation:

lys-0071 [83]3 years ago
4 0
I would be the origin, constant of proportionality, and the unit rate.
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A hemisphere has an area of 256 pi cm^2. What is its volume?
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\bf \begin{array}{llll}
\textit{surface area of a sphere}\\\\
A=4\pi r^2
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\textit{a hemisphere is half that}\\\\
A=\cfrac{4\pi r^2}{2}\implies A=2\pi r^2
\end{array}\qquad r=radius
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\textit{now, we know the area is }256\pi \implies 256\pi =2\pi r^2
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\cfrac{256\pi }{2\pi }=r^2\implies \sqrt{128}=r\implies \boxed{8\sqrt{2}=r}
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-----------------------------\\\\

\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad r=radius
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\textit{a hemisphere is half that}\\\\
V=\cfrac{\frac{4}{3}\pi r^3}{2}\implies V=\cfrac{\frac{4\pi r^3}{3}}{\frac{2}{1}}\implies V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{2}
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\boxed{V=\cfrac{2048\pi \sqrt{2}}{3}}
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