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4 years ago

16) When diagonal WY is drawn in trapezoid WXYZ, why will Angle XYW and angle ZWY always be congruent?

Mathematics

1 answer:

IrinaVladis [17]4 years ago

6 0

The answer to this question would be D

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4vir4ik [10]

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Step-by-step explanation:

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4 years ago

Identify the angles of rotational symmetry for the figure.

babunello [35]

Answer:

45 120 144 that the ones to pick

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3 years ago

Rewrite each equation in standard form. <br><br> 4 and 5 only

nekit [7.7K]

Answer:

4) 2=4x-3y

5) 51=21x-3y

Step-by-step explanation:

I gave it my best shot, I used fraction busters to cancel out the fractions and then I used simple math and distributive property. Hope it helps.

7 0

3 years ago

D-10-2d+7=8-10-3d can someone solve this

tekilochka [14]

D - 10 - 2d + 7 = 8 - 10 - 3d
- d - 3 = - 2 - 3d
2d - 3 = - 2
2d = 1
d = 1/2

Hope this helps.

7 0

4 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