3 years ago

Identify the rule for the following pattern: 99, 90, 81...

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

5 0

The pattern is subtracting 9

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4 years ago

The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of

rosijanka [135]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\$

$\bf \cfrac{\textit{earth's volume}}{\textit{pluto's volume}}\qquad \cfrac{s^3}{s^3}\implies \cfrac{6371^3}{1161^3}\implies \cfrac{258596602811}{1564936281}\approx 165.24417$

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