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Dahasolnce [82]
2 years ago
15

Aldo drove 845 miles in 13 hours.

Mathematics
1 answer:
Mila [183]2 years ago
8 0

Answer:

5 hours

Step-by-step explanation:

time per mile = number of hours ÷ number of miles

                      = 13 ÷ 845

                      = 1/65 hours per mile

time to drive 325 miles = 325 × time per mile

                                       = 325 × 1/65

                                       = 5 hours

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First you find how much the shape has dilated. To d ok that you divide the size of the size already given to you from the bigger shape from the same did if the smaller shape. So 58÷6=9.7. The shape grew by 9.7. To find x you use the similar side of the other shape again and multiy that size by 9.7. So 9.7×3=29.1

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Determine whether the relation is a function. (2, -3). (3, 2). (4, 7), (3, 14, (6, 23)
Vika [28.1K]

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Step-by-step explanation:

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3 years ago
A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u
OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

\displaystyle\frac{8000\pi\sqrt{2}}{3}

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

x^2+y^2=15^2\to y=\sqrt{225-x^2}

Then we set the integral for the volume by using shell method:

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The limits of integration also change:

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\displaystyle -\int_{200}^{0}\pi \sqrt{u}du

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

\displaystyle \int_{0}^{200}\pi u^{1/2}du

Then applying the basic rule we get:

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Since that is just half of the solid, we multiply by 2 to get the complete volume:

\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}

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3 years ago
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