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3 years ago

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One of the first electronic computers was in the shape of a huge box. It was 96 feet long and 2.5 feet wide. The amount of space

inside was approximately 3,000 cubic feet. How many feet high was the computer?
A.) 1.25
B.) 12.50
C.) 27.60
D.) 125.00

2 answers:

Helga [31]3 years ago

7 0

The answer is B,12.5

iogann1982 [59]3 years ago

4 0

The answer is B) 12.50.

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Solution:

The image attached below.

Given ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

In ΔABC: AC = 4 and CB = 5

In ΔDEF: DF = 2, EF = ?

Let us first find the length of EF.

We know that, If two triangles are similar, then the corresponding sides are proportional.

⇒ $\frac{AC}{DF} =\frac{BC}{EF}$

⇒ $\frac{4}{2} =\frac{5}{EF}$

⇒ $4EF=5\times2$

⇒ $EF=\frac{5\times 2}{4}$

⇒ $EF=\frac{5}{2}$

Ratio of ΔABC to ΔDEF = $\frac{AC}{DF} =\frac{4}{2}=\frac{2}{1}$

Similarly, ratio of ΔABC to ΔDEF = $\frac{BC}{EF} =\frac{5}{\frac{5}{2}}=\frac{2}{1}$

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Step-by-step explanation:

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