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nata0808 [166]
3 years ago
7

How to find the diameter of a circle with the area of 1134.1?

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0
Radius is half of the diameter.
So because the area of a circle is A= pi • r^2, to find the radius first, we have to change the equation to solve for r. Now it is, r= square root of A/pi. We plug in 1134.1. (Look at pic)
The diameter is 38
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Solving Rational equations. LCD method. Show work. Image attached.
posledela

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So in order to get all the fractions to have a common denominator, we need to multiply \dfrac k{k-2} by \dfrac{k-6}{k-6}, and \dfrac1{k-6} by \dfrac{k-2}{k-2}:

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Now,

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As long as k\neq2 and k\neq6 (which we can't have because otherwise k^2-8k+12=0), we can cancel k^2-8k+12 in the denominators on both sides:

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4 0
3 years ago
Iridium -192 has a half life of 74 days after 148 days, how many milligrams of 900 mg sample will remain?
Ad libitum [116K]
\bf \textit{Amount for Exponential Decay using Half-Life}
\\\\
A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &900\\
t=\textit{elapsed time}\to &148\\
h=\textit{half-life}\to &74
\end{cases}
\\\\\\
A=900\left( \frac{1}{2} \right)^{\frac{148}{74}}\implies A=900\left( \frac{1}{2} \right)^2\implies A=225
8 0
3 years ago
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