Mathematics: Adesign on the surface of a balloon is 9 cm wide when the balloon holds 62 cm3 of air. how much air does the balloon hold when the design is 18 cm wide?

Adesign on the surface of a balloon is 9 cm wide

Ответ:

jaedabugg

10.01.2022

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{cccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{\sqrt{9}}{\sqrt{18}}=\cfrac{\sqrt[3]{62}}{\sqrt[3]{x}}$

$\bf \\\\\\
\cfrac{3}{3\sqrt{2}}=\cfrac{\sqrt[3]{62}}{\sqrt[3]{x}}\implies \cfrac{1}{\sqrt{2}}=\cfrac{\sqrt[3]{62}}{\sqrt[3]{x}}\implies \sqrt[3]{x}=\sqrt{2}\cdot \sqrt[3]{62}
\\\\\\
x=\left( \sqrt{2}\cdot \sqrt[3]{62} \right)^3\implies x=\sqrt{2^3}\cdot \sqrt[3]{62^3}\implies x=2\sqrt{2}\cdot 62
\\\\\\
\boxed{x=124\sqrt{2}}$

0,0(0 оценок)

Ответ:

missjohnson4449

22.07.2021

Mathematics

5. false

6. false

7.true

Step-by-step explanation:

0,0(0 оценок)

Adesign on the surface of a balloon is 9 cm wide when the balloon holds 62 cm3 of air. how much air does the balloon hold when the design is 18 cm wide?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question