What is the volume of the composite figure? _?_ Cubic inches

Mathematics

2 answers:

qaws [65]3 years ago

4 0

1. To solve this exercise you must apply the formula for calculate the volume of a rectangular prism and the formula for calculate the volume of a rectangular pyramid:

2. Volume the rectangular prism:

V1=LxWxH

V1=(7 in)(3 in)(4 in)
V1=84 in³

3. Volume of the rectangular pyramid:

V2=BxH/3

B=(7 in)(3 in)=21 in

H=12 in-4 in=8 in

V2=(21 in)(8 in)/3
V2=56 in³

4. The volume of the composite figure is

V=V1+V2
V=140 in³

katrin2010 [14]3 years ago

4 0

140 is the answer on edge

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Answer:

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Step-by-step explanation:

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3 years ago

What is the difference?

Crazy boy [7]

Answer:

<h2>D. $\frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\$ or StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction</h2>

Step-by-step explanation:

Given the expression $\frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }$ , the dfference is expressed as follows;

Step1: First we need to factorize the denominator of each function.

$\frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }\\= \frac{x}{x^{2}-5x+3x-15 } - \frac{4}{x^{2} + 7x-5x - 35 }\\= \frac{x}{x(x-5)+3(x-5) } - \frac{4}{x( x+ 7)x-5(x +7) }\\= \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\\\$

Step 2: We will find the LCM of the resulting expression

$= \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\= \frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+7x-4x-12 }{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\$