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Ne4ueva [31]
3 years ago
6

Plz answer fast for this question

Mathematics
1 answer:
torisob [31]3 years ago
5 0
170 cm. The unknown length on the left is 21 cm
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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
3 years ago
Y-3=5(x+3) what is the slope and the coordinates?<br> anyone wanna talk cause i am bored
kozerog [31]
The slope is 5
This is the coordinates

3 0
3 years ago
Read 2 more answers
Please help me i need your help
yanalaym [24]

Answer:

did you ever get help?

Step-by-step explanation:

i wanna know

3 0
3 years ago
Which of the following could explain the changes in growth between the 15th month and the 24th month ?
noname [10]

Answer:  The Answer is A

Step-by-step explanation:

i think it's right

6 0
3 years ago
Merlin invested $48,750 into an interest-bearing account 7 years ago, and withdrew all of the money to close it. The
dmitriy555 [2]

Interset always positive ,if a bank don't give interest even though interset remains zero doesn't become negative

Let's find interest here to proof

  • Principal=P=48750
  • Annual=A=49975

Interest:-

  • A-P=49975-48750=1225
3 0
2 years ago
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