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3 years ago

What is the volume of the following rectangular prism?

Mathematics

2 answers:

inessss [21]3 years ago

5 0

Answer:

Length * Height * Width, or V = L * H * W. Ex: V = 5 in.

Nina [5.8K]3 years ago

4 0

Answer:

Step-by-step explanation:

We are given the area of a base and the width of the prism.

Volume = area of base * width

Volume = 8/3 * 21/2 = 28

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A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when fu

notka56 [123]

since the diameter of the base of the cylinder is 6 feet, then its radius is half that, or 3 feet.

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=3\\
h=9
\end{cases}\implies V=\pi (3)^2(9)\implies V=81\pi$

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3 years ago

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An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.

faltersainse [42]

Answer:

$y=-\frac{1}{100}(x-50)^2+25$

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

$y=a(x-h)^2+k$ , (h,k) is the center

$y=a(x-50)^2+25$

the parabola starts at (0,0) that is (x,y)

$0=a(0-50)^2+25$

subtract 25 from both sides

$-25=a(-50)^2$

$-25=a(2500)$

divide both sides by 2500

$a=-\frac{1}{100}$

$y=-\frac{1}{100}(x-50)^2+25$

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

$y=-\frac{1}{100}(40-50)^2+25$

y=24

the height of the arch 10 feet from the center is 24 feet

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3 years ago

Problem Page A table of values of a linear function is shown below. x −1 0 1 2 3 y −6 −8 −10 −12 −14 Find the slope and y -inter

Ivenika [448]

When x=0, y=-8, so that is the y-intercept.

When x increases by 1, y decreases by 2, so the slope is -2.

The equation of the function is
.. y = -2x -8

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3 years ago

Suppose the circumference of a circle is 4, pi. What is its diameter?

Vilka [71]

Your answer would be 4, because the equation for the circumference of a circle is π × diameter, so if you have 4 × π as the circumference, then 4 is the diameter.

I hope this helps!

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3 years ago

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Is root -2 a irrational number? plz explain

Bogdan [553]

Answer:

yes

Step-by-step explanation:

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3 years ago

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