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mamaluj [8]
3 years ago
11

Sonya has a picture that is 5 inches tall and 12 inches wide. She would like to enlarge it to fit a space on her wall. If the sp

ace calls for the picture to be 96 inches wide, how tall would the picture now be?
Round answers to 2 decimal places as needed.
Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

Answer:

40 inches tall

Step-by-step explanation:

h=5 w=12

5:12

so to increase to 96 inches wide and find height we can use the known ratio and arrive at...

40:96

h=40 w=96

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Given:

The base of the given triangle has two part:

Left( left side of the hypotenuse) = 25

Right ( right side of the hypotenuse) = x

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Formula:

By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,

\frac{left}{altitude} =\frac{altitude}{right}

Now,

Putting,

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\frac{25}{60} =\frac{60}{x}

or, (25)(x )=(60)(60) [ by cross multiplication]

or, x = \frac{3600}{25}

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3 years ago
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Answer:

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