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Pachacha [2.7K]
3 years ago
11

A particular computer takes 13 minutes to download a 39​-minute TV show. How long will it take the computer to download a 2​-hou

r ​movie?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0
Since 2 hours is 120 minutes, then

\bf \begin{array}{ccll}
\stackrel{download}{minutes}&\stackrel{show}{minutes}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
13&39\\
x&120
\end{array}\implies \cfrac{13}{x}=\cfrac{39}{120}\implies \cfrac{13\cdot 120}{39}=x
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The formula for surface area of a cylinder is

 

SA = 2πr2 + 2πrh

 

where:

r = radius

h = height

 

Since we know the surface area and height, we can plug them in.  Note that we can factor out the 2π.  You will see why we factor out 2π rather than 2πr.

 

2π(r2 + (20)r) = 396

 

2π(r2 + 20r) = 396

 

 

Divide both sides of the equation by 2π to isolate the r terms.

 

r2 + 20r = 63.025    

 

 

Subtract 63.025 on both sides of the equation.

 

r2 + 20r - 63.025 = 0

 

 

Use the quadratic formula to solve for r:

 

r = (-b ± √(b2 - 4ac)) / 2a

 

where:

a = 1

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Plug in these values into the formula.  You should get two solutions because of the plus/minus sign.  Accept the positive value of r.

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