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3 years ago

12

Find the product. Write fractions in simplest form -2/7×7/4 plzz hurry im in a rush

1 answer:

allsm [11]3 years ago

7 0

the answer is: -1/2

please give brainliest

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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

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

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3 years ago

50 PTS AND 25 MORE IF U GET BRAIN PLSSSSSSSSSSSSSSS

Misha Larkins [42]

$-2(x+4)+103(x+8)\\\\-2\cdot x+(-2)\cdot4+103\cdot x+3\cdot8\\\\-2x-8+103x+24\\\\-2x-x24-9\\\\-3x15\quad|\div(-5)\\\\\boxed{x>3\qquad\vee\qquad x$

Answer B

4 0

3 years ago

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A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall

soldi70 [24.7K]

Answer:

15.95 feets

Step-by-step explanation:

Given that:

Angle of elevation = 62°

Using trigonometric relation :

Tanθ = opposite / Adjacent

From the drawing attached :

Opposite = 30 feets

Distance between girl and lighthouse = d

Tan 62 = 30 / d

1.8807264 * d = 30

d = 30 / 1.8807264

d = 15.951283

d = 15.95 feets

3 0

3 years ago

What’s the distance between (-9,-3) and y=x-6

jeyben [28]

hopefully this will help :)

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3 years ago

Write the contrapositive and the converse of the following conditional

Lunna [17]

The contrapositive statement are:

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The converse statement are:

If the late is frozen, then it is cold.
If Solomon is happy, then he is healthy.
If Tigist Tigist does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

Learn more about contrapositive statement from

brainly.com/question/1713053

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6 0

2 years ago

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