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Gwar [14]
3 years ago
5

If the volume of a rectangular pyramid is 150 inches cubes ,what is the volume of a prism with the same demensions

Mathematics
1 answer:
Ugo [173]3 years ago
7 0

\bf \stackrel{\textit{volume of a pyramid}}{V=\cfrac{Bh}{3}}\qquad \qquad \stackrel{\textit{volume of a rectangular prism}}{V=Bh}\qquad \begin{cases} B=base~area\\ h=height \end{cases}


so let's notice, the volume of the rectangular prism is really 3 times as much of that of a pyramid with the same Base and Height.

so if the pyramid has a volume of 150, the prism will have volume of 3*150.

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Solve the following system of equations by graphing and select the correct answer below:
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Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute y=0 into the equation and solve for "x".

To find the y-intercept, substitute x=0 into the equation and solve for "y".

- For the first equation:

x-intercept

4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25

y-intercept

4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5

y-intercept

2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

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7 0
4 years ago
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AnnyKZ [126]
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A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 24 inches. The scoop is filled with molten steel.
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28952.917 = π (16)^2 * h

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h = 35.9999

h = 40 inches

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