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MrMuchimi
3 years ago
8

How would you solve

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

4r^-3 * 2r^2 =

4*(2r^(-3+2))

= 4*2r^-1

= 4*2(1/r)

= 4*(2/r)

=8/r

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Convert 0.815 into a fraction in the simplest form. Explain please.
anastassius [24]

Answer:

815/1000=163/200 is the simplest form.

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3 years ago
The diameter of a sphere is 2,160 mm. The diameter of a second sphere is 7,520 mm. Approximately how many times larger is the vo
fgiga [73]

Answer:

Approximately 42 times larger

Step-by-step explanation:

The diameter of a sphere is 2,160 mm.

The diameter of a second sphere is 7,520 mm.

To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:

k =  \frac{7520}{2160}

k = 3.481

To see how many times larger the volume is, we cube both sides

{k}^{3}  =  {3.481}^{3}

This implies that

{k}^{3}  = 42.181

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3 years ago
Given the diagram, which theorem would you use to find AD?
bagirrra123 [75]

Answer:

B

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3 0
2 years ago
A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha
PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

<u>Volume formula of Sphere</u>

V = \frac{4}{3} \pi r^2

<u>Substitute 1 in for r</u>

\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi  = 4.189 = Volume

<u>Finding the Height of a Cone</u>

Volume formula for Cone: V = \pi r^2\frac{h}{3}

<u />

<u>Solve for </u><u><em>h</em></u>

Multiply both sides by 3, then divide by pi and r^2.

h = \frac{3V}{\pi r^2}

<u>Plug in the volume and the radius.</u>

h = \frac{3(4.189)}{\pi (1)^2}

<u>Simplify</u>

h = \frac{12.567}{\pi }

h ≈ 4

<u>4 is approximately the height.</u>

<u></u>

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<u><em>#TeamTrees #PAW (Plant And Water)</em></u>

6 0
3 years ago
Jeremy wants to give a 20% gratuity to his cab driver. His fare was $35.50. What is the total amount he will pay the driver?
Anna [14]
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8 0
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