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miss Akunina [59]
3 years ago
10

Please help i'm so confused

Mathematics
1 answer:
kherson [118]3 years ago
8 0
\bf \begin{cases}
x=0\implies &(x)=0\\
x=2\implies x-2=0\implies &(x-2)=0\\
x=-5\implies x+5=0\implies &(x+5)=0
\end{cases}
\\\\\\
(x)(x-2)(x+5)=\textit{3rd degree polynomial}
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The area of a regular octagon is 35 cm^2. What is the area of a regular octagon with sides five times as long?
Marat540 [252]
So... let's say the smaller regular octagon has sides of "x" long, then the larger octagon will have sides of 5x.

\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{small}{large}\quad \stackrel{area~ratio}{\cfrac{s^2}{s^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{(5x)^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{5^2x^2}}\implies \stackrel{area~ratio}{\cfrac{\underline{x^2}}{25\underline{x^2}}}=\stackrel{area~ratio}{\cfrac{35}{a}}
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\cfrac{1}{25}=\cfrac{35}{a}\implies a=\cfrac{25\cdot 35}{1}
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joja [24]
Hi there!

Let's break this down:
Two times a number = 2n
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Total equation:
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Solving:
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Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
4 0
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