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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.
_________

Respuesta :

calculista

Answer:

Part 1) The ratio is [tex]\frac{13}{8}[/tex]

Part 2) The height is [tex]9.23\ in[/tex]

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

[tex]z=\frac{x}{y}[/tex]

we have

[tex]z=\frac{1.625}{1}[/tex]

Multiply both numerator and denominator by 1,000

[tex]z=\frac{1.625*1,000}{1*1,000}\\z=\frac{1,625}{1,000}[/tex]

Simplify

Divide by 125 both numerator and denominator

[tex]z=\frac{13}{8}[/tex]

Part 2) If the Monitor is 15 inches wide, what is the height?

we know that

[tex]z=\frac{x}{y}[/tex]

we have

[tex]z=\frac{13}{8}\\x=15\ in[/tex]

substitute the given values and solve for y

[tex]\frac{13}{8}=\frac{15}{y}\\y=\frac{8}{13}(15)\\y=9.23\ in[/tex]

therefore

The height is 9.23 in

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