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3 years ago

11

Figure out the answer to each riddle below:

1 answer:

Ahat [919]3 years ago

5 0

1. 79
2. 330
3. 452
4. 1212
5. 351
6. 202
7. 238

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Shelly is making an apple pie. She needs 1/2 of a cup of sugar for her pie . How many cups of sugar will she need if she need if

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Answer: Shelly will need 6 cups of sugar.

Step-by-step explanation:

Multiply 3 by 1/2

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A spinner with 12 equal sections is spun. Each section is numbered 1 to 12. What Is the probability of landing on an odd number.

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Step-by-step explanation:

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3 years ago

Please help!!!!!!solve

fgiga [73]

I’m a bit confused confused, but the answer may be -2x^3 + 2x^2 - 2x +2

Work:

To solve this, take the equation for q and the equation for r, and multiply them together.

Use the distributive property to multiply them.

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3 years ago

3w-4z=8<br> 2w+3z=-6 solve

marissa [1.9K]

Answer:

W = 0

Z = -2

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:

$\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx$

That can be solved by substitution:

$u=225-x^2\to du=-2xdx$

The limits of integration also change:

For x=5: $u=225-5^2=200$

For x=15: $u=225-15^2=0$

So the integral becomes:

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

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:

$\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}$

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

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

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

5 0

3 years ago