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Bas_tet [7]
3 years ago
13

Find the edge length of a cube if the surface area is 565.7 m².

Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0

Answer:

9.71 m

Step-by-step explanation:

Surface area of cube is given by 6a^2 where a is the edge length.

Given

Surface area  =565.7 m²

let a be the edge length of required cube

then

6a^2 = 565.7 m²

=> a^2 = 565.7 /6 m² = 94.28

=> a = \sqrt{94.28} = 9.71

Thus, first option  9.71 m is correct choice.

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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
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now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

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\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
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Can anyone answer this question with showing work <br> 532.6 • 8.53
MAVERICK [17]

The answer is: 4543.078

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