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siniylev [52]
4 years ago
15

2 1/2 divide by 1/4 and how to write a real problem for it

Mathematics
1 answer:
den301095 [7]4 years ago
5 0
2 1/2 = (2*2+1)/2 = 5/2
5/2 : 1/4 = 5/2 * 4/1 = 20/2 = 10
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What is the volume of a triangular prism 5m 13m 6m
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Step-by-step explanation: 5*13*6=390

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A mortised traveled 311 miles on 12 gallons of gas to the nearest tenth how many miles can the motorist travel on one gallon of
Jlenok [28]

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25.9 miles

Step-by-step explanation:

To find out how far he can go on one gallon of gas, we divide miles by gallons.

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3 years ago
Write the given expression as an algebraic expression in x. tan(2 cos^-1(x))
miv72 [106K]
\bf tan\left[ 2cos^{-1}(x) \right]\implies tan\left[ 2cos^{-1}\left( \frac{x}{1} \right) \right]
\\\\\\
\textit{if we say }cos^{-1}\left( \frac{x}{1} \right)=\theta\textit{  that means }tan\left[ 2cos^{-1}\left( \frac{x}{1} \right) \right]\iff tan(2\theta)\\\\
-----------------------------\\\\
cos^{-1}\left( \frac{x}{1} \right)=\theta\implies cos(\theta)=\cfrac{x}{1}\cfrac{\leftarrow adjacent=a}{\leftarrow hypotenuse=c}\\\\
-----------------------------\\\\


\bf \textit{again, using the pythagorean theorem to get the opposite side}
\\\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\implies \pm\sqrt{1^2-x^2}=b
\\\\\\
\pm\sqrt{1-x^2}=b\\\\
-----------------------------\\\\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\implies tan(2\theta)=\cfrac{2\cdot \frac{\pm\sqrt{1-x^2}}{x}}{1-\left( \frac{\pm\sqrt{1-x^2}}{x} \right)^2}
\\\\\\

\bf tan(2\theta)=\cfrac{\frac{\pm2\sqrt{1-x^2}}{x}}{1-\frac{1-x}{x}}\implies 
tan(2\theta)=\cfrac{\frac{\pm2\sqrt{1-x^2}}{x}}{\frac{x-1+x}{x}}
\\\\\\
tan(2\theta)=\cfrac{\pm2\sqrt{1-x^2}}{x}\cdot \cfrac{x}{2x-1}
\implies 
tan(2\theta)=\cfrac{\pm 2\sqrt{1-x^2}}{2x-1}


6 0
4 years ago
Line /has a<br> slope.<br><br><br> I need help with answering this
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Answer:

Line L has a positive slope, Line M has an undefined slope

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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