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makvit [3.9K]
3 years ago
9

Look at the photo.(15 pts )

Mathematics
2 answers:
horrorfan [7]3 years ago
8 0
I thought i know but i don’t sorry
e-lub [12.9K]3 years ago
5 0
1/4,0.6,0.9,-1.4,-8/5
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Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 + y2.
vekshin1
x^2+y^2+z^2=100z\iff x^2+y^2+(z-50)^2=50^2

The surface of interest can be parameterized by

\mathbf r(u,v)=\begin{cases}x(u,v)=50\cos u\sin v\\y(u,v)=50\sin u\sin v\\z(u,v)=50(\cos v+1)\end{cases}

with 0\le u\le2\pi and 0\le v\le\arccos\dfrac{49}{50}.

The area of the surface S is given by the surface integral

\displaystyle\iint_S\mathrm dA=\iint_T\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv

We have

\|\mathbf r_u\times\mathbf r_v\|=50^2\sin v

so the area is given by the double integral

\displaystyle50^2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\arccos(49/50)}\sin v\,\mathrm dv\,\mathrm du=100\pi
6 0
3 years ago
Classify the triangle with angles with measures 33, 90, and 57 as acute, right, or obtuse.
Hitman42 [59]
This triangle is classified as a right triangle because it contains one right angle (90 degrees).

An obtuse triangle is given that classification when one of the angles is greater than 90 degrees.

An acute triangle is any triangle that has all 3 angles less than 90 degrees.

5 0
3 years ago
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What is the approximate volume of a cone if the radius is 10 in the heights at 12
mr_godi [17]
The answer should be
12ft^3
12cm^3
12yd^3
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7 0
3 years ago
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Find the measure of each interior angle of a regular polygon with 10 sides.
Degger [83]

Answer:

add up c

Step-by-step explanation:

7 0
3 years ago
In one area, the lowest angle of elevation of the sun in winter is 27.5°. Find the minimum distance x that a plant needing full
Alex73 [517]

Answer:

The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft

Step-by-step explanation:

Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.

We will then find the position to place the plant where the suns rays can get to the base of the plant

Note that the fence is in between the sun and the plant, therefore we have

Height of fence = 5 ft.

Angle of location x from the fence = lowest angle of elevation of the sun, θ

This forms a right angled triangle with the fence as the height and the location of the plant as the base

Therefore, the length of the base is given as

Height × cos θ

= 5 ft × cos 27.5° = 4.435 ft

The plant should be placed at a location x = 4.435 ft from the fence.

8 0
3 years ago
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