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2 years ago

Can anyone help please

Mathematics

1 answer:

Sergio039 [100]2 years ago

8 0

Hey I cane use app here no one help u wait a Lott but I use app name guthmath it’s red in colour use code P9EJ5H to get free answer a youtber said that I said no way lies but I had math test me used it and got perfecto

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Which of the following options have the same value as 2\%2%2, percent of 909090?

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Hi! I need help with the attached question in calc. Thank you:)

Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

So:

$\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy$

Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

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2 years ago

If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over?

Katyanochek1 [597]

Answer:

$= area \: of \: square - area \: of \: circle \\ = (s \times s) - (\pi {r}^{2} ) \\ = (24 \times 24) - (3.14 \times ( { \frac{24}{2} })^{2}) \\ \\ = 576 - 452.16 \\ = 123.84 \: square \: inches$

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2 years ago