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2 years ago

PLS HELP WILL MARK BRAINIEST!!!!TY

Mathematics

1 answer:

Leni [432]2 years ago

5 0

Answer:

hope this heps and pls mark brainliest :))

Step-by-step explanation:

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

2 years ago

Help needed!

Jet001 [13]

Answer:

15 inches

Step-by-step explanation:

The ratio of sides in 30º-60º-90º triangle is:

a : b : c = 1 : √3 : 2

If a is 5√3, the length of b is:

b = a√3 = 5√3 *√3 = 5*3 = 15

7 0

1 year ago

I got 25 so I wanted to know if I'm correct

kvasek [131]

I feel it should be 30 because x represents the number of lessons, and 30 is multiplied by that.

3 0

3 years ago

Read 2 more answers

#9 i need help it would really be appreciated

son4ous [18]

For number 9, you know that it makes 40 copies every five minutes. All you have to do is divide 40 by 5.

40 ÷ 5 = 8

It makes 8 copies every minute.

Your chart can also help you check your answer. It says that it makes 96 copies every 12 minutes and it makes 104 copies every 13 minutes. So multiply 8 by 12 to check it and 8 by 13.

8 • 12 = 96
8 • 13 = 104

Since those answers match up with the chart, it must be correct.

The photocopier makes 8 copies every minute. Hope that helps!

4 0

2 years ago

Name the ray rhat angle PQR and angle SQR share

lyudmila [28]

Ray Q is the ray that angle PQR and SQR shares. Because both angles has the ray of Q.
ray refers to a line with one endpoint
P is a ray, Q is a ray, R is a ray and S is a ray. When you put them together, they form angle.

Pls. see attachment for the presentation of the angle PQR and SQR and how they share ray Q

7 0

3 years ago