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tatuchka [14]
3 years ago
13

The volume of a rectangular prism is (x4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x3 + 3x^2 + 8). If the volume of

a rectangular prism is the product of its base area and height, what is the height of the prism?
Mathematics
2 answers:
kap26 [50]3 years ago
6 0

V=x^4+4x^3+3x^2+8x+4\\\\B=x^3+3x^2+8\\\\V=BH\to H=\dfrac{V}{B}\\\\\text{Substitute:}\\\\H=\dfrac{x^4+4x^3+3x^2+8x+4}{x^3+3x^2+8}

Dovator [93]3 years ago
6 0

Answer:

Height = \frac{(x+3)(x^{3}+x^{2}+8)}{(x^{3}+3x^{2}+8)}

Step-by-step explanation:

The volume of a rectangular prism = (x^{4}+4x^{3}+3x^{2}+8x+4)

and the area of the base = ((x^{3}+3x^{2}+8)

We know the formula,

Volume of the rectangular prism = Area of the base × Height

Height = \frac{\text{Volume of the prism}}{\text{Area of the base}}

Now plug in the value of volume and area in the formula

Height = \frac{x^{4}+4x^{3}+3x^{2}+8x+24}{x^{3}+3x^{2}+8}

Further solving the fraction

Height = \frac{(x+3)(x^{3}+x^{2}+8)}{(x^{3}+3x^{2}+8)}

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ladessa [460]

Answer:

30

Step-by-step explanation:

2/3 = x/18

2*18 = 3x

36 = 3x

x=12

so there are 12 boys

12+18=30

7 0
3 years ago
A number line is numbered in tenths describe where you would plot 87.35 squared
Aloiza [94]
87.35 squared would be 7,630.02.(87.35)^2 = 7,630.02Rounded off further, it will be 7,630.On a number line numbered in tenths, 7,630.02 could be plotted on 7,630, as rounding off the number to the nearest integer, the answer will be 7,630.
7 0
3 years ago
Melina graphed a line which passes through the points (-4, 2) and (6, 8). What is the slope of the line?
Ulleksa [173]

Answer:

The answer is

<h2>\frac{3}{5}  \\</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 2) and (6, 8)

The slope is

m =  \frac{8 - 2}{6 + 4}  =  \frac{6}{10}  =  \frac{3}{5}  \\

We have the final answer as

\frac{3}{5}  \\

Hope this helps you

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borishaifa [10]

Answer:

Step-by-step explanation:

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