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zalisa [80]
3 years ago
10

if the length of the container is half of a foot longer than it’s width what expression represents the height of the container

Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer:

The height of the container is 7x\ ft

Step-by-step explanation:

Let

L ------> the length of the rectangular container

W ----> the width of the rectangular container

H ---> the height of the rectangular container

we know that

The volume of the rectangular container is

V=LWH ------> equation A

we have

W=x\ ft

L=(x+0.5)\ ft

V=7x^{3}+3.5x^{2}

substitute the values in the equation A

7x^{3}+3.5x^{2}=(x+0.5)(x)H

Factor the term x in the left side

(7x^{2}+3.5x)(x)=(x+0.5)(x)H

Simplify

(7x^{2}+3.5x)=(x+0.5)H

Factor the term 7x in the left side

(7x)(x+0.5)=(x+0.5)H

Simplify

(7x)=H

Rewrite

H=7x\ ft

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