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Oliga [24]
3 years ago
10

Please help ASAP need answers thank you

Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

Similar triangles

x/3 = (9+3)/x

x/3 = 12/x

x^2 = 3 * 12

x^2 = 36

x = 6

Answer

6

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the lateral area of a cone is 574 pi cm2. The radius is 19.6 cm. What is the slant height to the nearest tenth of a centimeter?
bulgar [2K]
\bf \textit{lateral area of a cone}\\\\
LA=\pi r\sqrt{r^2+h^2}~~
\begin{cases}
r=radius\\
\sqrt{r^2+h^2}=slant~height\\
-----------\\
LA=574\pi \\
r=19.6
\end{cases}
\\\\\\
574\pi =\pi (19.6)\sqrt{r^2+h^2}\implies \cfrac{574\pi }{19.6\pi }=\sqrt{r^2+h^2}
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A=1/2(b1-b2)h <br><br> Solve for h
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