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3 years ago

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST

Mathematics

1 answer:

Amanda [17]3 years ago

5 0

Answer:

47% and 45%

Step-by-step explanation:

please mark brainiest

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adelina 88 [10]

The answer is a 36
This is because if you take the area of one of the three triangles that make up the trapezoid you do 1/2 base times height and get 12 and you add all three together thus getting 36 square inches

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3 years ago

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Quickfire questions

AysviL [449]

Answer:

10 4 for question one

Step-by-step explanation:

I don't have one I just know how and I did this

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4 years ago

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I forgot how to do this:

Vikentia [17]

Answer:

Slope = -9/2

Two points are (-2,9) and (2,-9)

Step-by-step explanation:

The two points the equation should go through are (-2,9) and (2,-9), (Dark Green and Light Blue).

The slope-intercept is calculated using the two points above;

-9 - 9 = -18

2 - (-2) = 4

Slope = -18/4 or -9/2

Hope this helps!

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3 years ago

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Allisa [31]

Answer:

Step-by-step explanation:

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3 years ago

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = sqrt(25x) and y = x^2/25. Find V b

Westkost [7]

Explanation:

Let $f(x) = \sqrt{25x}$ and $g(x) = \frac{x^2}{25}$ . The differential volume dV of the cylindrical shells is given by

$dV = 2\pi x[f(x) - g(x)]dx$

Integrating this expression, we get

$\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx$

To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

$\sqrt{25x} = \dfrac{x^2}{25}$

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

$25x = \dfrac{x^4}{(25)^2} \Rightarrow \dfrac{x^3}{(25)^3} = 1$

$x^3 =(25)^3 \Rightarrow x = \pm25$

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is

$\displaystyle V = 2\pi\int_0^{25}{x\left(\sqrt{25x} - \frac{x^2}{25}\right)}dx$

$\displaystyle\:\:\:\:=10\pi\int_0^{25}{x^{3/2}}dx - \frac{2\pi}{25}\int_0^{25}{x^3}dx$

$\:\:\:\:=\left(4\pi x^{5/2} - \dfrac{\pi}{50}x^4\right)_0^{25}$

$\:\:\:\:=4\pi(3125) - \pi(7812.5) = 14726.2$

4 0

3 years ago