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3 years ago

40 points!!! Please Help!!! (MATH) Will give Brainliest!!!

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

7 0

Answer:

A =62x^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is given by

A=2(wl+hl+hw)

Given a width of 2x and length of 3x and a height of 5x, substitute into the equation

A = 2(2x*3x+ 5x*3x+ 2x*5x)

A = 2(6x^2 + 15x^2 +10x^2)

Combine like terms

A = 2(31x^2)

A =62x^2

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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3 years ago

there is a walking trail at the park. four laps around the trail is a distance of 1 mile. how many laps does it take to walk 3/4

dybincka [34]

1 ÷ 4 1/4 so one lap is a quarter of a mile meaning 3 laps is 3/4 of a mile

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Step-by-step explanation:

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Answer:

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