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soldi70 [24.7K]
9 months ago
8

The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?

Mathematics
1 answer:
Fantom [35]9 months ago
6 0

Answer:

  (4)  5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the base:

  B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

  V = 1/2(2.5 m)(2 m)x

  12.5 m³ = 2.5x m²

Dividing by 2.5 m², we find x to be ...

  (12.5 m³)/(2.5 m²) = x = 5 m

The dimension labeled x has length 5 meters.

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If a/4 = 9/a, then<br> a²=36<br> 4a = 9a<br> a + 4 = 9 + a<br> a - 4 = 9 - a
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Answer:

Option A is correct.

The given expression : \frac{a}{4} = \frac{9}{a} then;

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Step-by-step explanation:

Given the expression: \frac{a}{4} = \frac{9}{a}

Cross multiplication the given expression following steps are as follow;

  • Multiply  numerator of the left-hand fraction by the denominator of the right-hand fraction
  • Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
  • then, set the two products equal to each other.

Using cross multiplication, on the given expression;

\frac{a}{4} = \frac{9}{a}

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

\frac{a \times a}{4} = 9

Simplify:

\frac{a^2}{4} =9                              [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

a^2 = 9\times 4

Simplify:

a^2 = 36

Therefore, the given expression is equal to: a^2 = 36




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