Help Please The aspect ratio of a laptop monitor is 1.625:1. The aspect ratio of a monitor is the ratio of its width to its height. 1. Write this as a ratio that involves only whole numbers, using the smallest whole numbers possible. ____:____ 2. If the monitor is 15 inches wide, what is the height? Round the answer to nearest hundredth if necessary. _________

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BadByeNamjoon

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The aspect ratio of a laptop monitor is 1.625:1. The aspect ratio of a monitor is the ratio of its width to its height.

1. Write this as a ratio that involves only whole numbers, using the smallest whole numbers possible.
____:____

2. If the monitor is 15 inches wide, what is the height? Round the answer to nearest hundredth if necessary.
_________

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calculista

Verified answer

Answer:
Part 1) The ratio is $\frac{13}{8}$
Part 2) The height is $9.23\ in$
Step-by-step explanation:
Part 1)
Let
x ----> the wide of the monitor
y ----> the height of the monitor
z ----> the aspect ratio of a laptop monitor
$z=\frac{x}{y}$
we have
$z=\frac{1.625}{1}$
Multiply both numerator and denominator by 1,000
$z=\frac{1.625*1,000}{1*1,000}\\z=\frac{1,625}{1,000}$
Simplify
Divide by 125 both numerator and denominator
$z=\frac{13}{8}$
Part 2) If the Monitor is 15 inches wide, what is the height?
we know that
$z=\frac{x}{y}$
we have
$z=\frac{13}{8}\\x=15\ in$
substitute the given values and solve for y
$\frac{13}{8}=\frac{15}{y}\\y=\frac{8}{13}(15)\\y=9.23\ in$
therefore
The height is 9.23 in
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