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aev [14]
3 years ago
12

Martina is practicing her free-throw shots. So far, she has made 16 out of 20 shots. If she attempts 80 more shots and shoot wit

h the same accuracy, how many more shots should she expect to make?
Mathematics
1 answer:
kati45 [8]3 years ago
8 0
\bf \begin{array}{ccllll}
\textit{free throws}&\textit{made the net}\\
-----&-------\\
20&16\\
80&t
\end{array}\implies \cfrac{20}{80}=\cfrac{16}{t}\implies t=\cfrac{80\cdot 16}{20}
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Two cones have their heights in the ratio 1 : 3 and the radius of their bases in the ratio 3 : 1, show that their volumes are in
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<h2>\large\bold{\underline{\underline{Question:-}}}</h2>

Two cones have their heights in the ratio 1 : 3 and the radius of their bases in the ratio 3 : 1 show that their volumes are in the ratio 3 : 1.

<h2>\large\bold{\underline{\underline{Solution:-}}}</h2>

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\underline{ \underline{ \sf{Let's \:  find  \: the  \: ratio  \: of \:  their  \: volumes:}}}

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{ \implies{ \sf{ {r_{1}}^{2}  h_{1} :  { r_{2}}^{2} h_{2}}}}

{ \implies{ \sf{ \frac{ { r_{1} }^{2} }{ { r_{2} }^{2} }  :  \frac{ h_{2} }{ h_{1} } }}} \\

{ \implies{ \sf{ \frac{ {3}^{2} }{ {1}^{2} }  :  \frac{3}{1} }}} \\

{ \implies{ \sf{ \frac{9}{1} :  \frac{3}{1}  }}} \\

{ \implies{ \sf{3 : 1}}} \\

{ \therefore{ \sf{ \green{Ratio  \: of  \: their \:  volumes = 3 : 1}}}}

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