2 years ago

Can you help me solve for x

Mathematics

1 answer:

astraxan [27]2 years ago

3 0

X=2 I believe but I need to keep typing to make it longer

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Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=x2+y2−−−−−−√

TiliK225 [7]

Parameterize the part of the sphere by

$\mathbf s(u,v)=(9\cos u\sin v,9\sin u\sin v,9\cos v)$

with $0\le u\le2\pi$ and $0\le v\le\dfrac\pi4$ . Then

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=81\sin v\,\mathrm du\,\mathrm dv$

So the area of $S$ (the part of the sphere above the cone) is given by

$\displaystyle\iint_S\mathrm dS=81\int_{v=0}^{v=\pi/4}\int_{u=0}^{u=2\pi}\sin v\,\mathrm du\,\mathrm dv=81(2\pi)\left(1-\dfrac1{\sqrt2}\right)=(162-81\sqrt2)\pi$

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3 years ago

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cestrela7 [59]

The 8 full boxes have 80 apples (8x10) and the 6 half boxes have 30 apples (6x5).
So: 80+30=110

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3 years ago

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How many gallons of water could a 5 feet by 2 feet by 2 feet aquarium hold? How much the 150 gallons of water would weigh?

Marianna [84]

Answer:

V = (5 feet) (2 feet) (2 feet) V = 20 cubic feet To convert the volume into gallons, multiply the above answer by 7.48 since there are 7.48 gallons of water in one cubic foot. This will give us an answer of 150 gallons of water.

Step-by-step explanation:

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1 year ago

By hiring 45 new employees, a department store increased its help by 18% during the Christmas season. How many employees did the

bagirrra123 [75]

Hi!

We can set up a proportion then cross multiply to solve this.

$\frac{45}{x} \frac{18}{100}$

45 x 100 = 4500
4500/18 = 250

The answer is 250

Hope this helps! :)

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3 years ago

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pantera1 [17]

The actual distance between the two towns is 15 miles.

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