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Alik [6]
3 years ago
14

What does x equal ? quick answer!!!

Mathematics
1 answer:
Anna35 [415]3 years ago
4 0
136 should be your answer
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PLEASE HELP ITS URGENT!!
Rom4ik [11]
56. is the total area.
4 0
3 years ago
Find the surface area of x^2+y^2+z^2=9 that lies above the cone z= sqrt(x^@+y^2)
Mashcka [7]
The cone equation gives

z=\sqrt{x^2+y^2}\implies z^2=x^2+y^2

which means that the intersection of the cone and sphere occurs at

x^2+y^2+(x^2+y^2)=9\implies x^2+y^2=\dfrac92

i.e. along the vertical cylinder of radius \dfrac3{\sqrt2} when z=\dfrac3{\sqrt2}.

We can parameterize the spherical cap in spherical coordinates by

\mathbf r(\theta,\varphi)=\langle3\cos\theta\sin\varphi,3\sin\theta\sin\varphi,3\cos\varphi\right\rangle

where 0\le\theta\le2\pi and 0\le\varphi\le\dfrac\pi4, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is \dfrac3{\sqrt2}. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is

\varphi=\cos^{-1}\left(\dfrac{\frac3{\sqrt2}}3\right)=\cos^{-1}\left(\dfrac1{\sqrt2}\right)=\dfrac\pi4

Now the surface area of the cap is given by the surface integral,

\displaystyle\iint_{\text{cap}}\mathrm dS=\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm dv\,\mathrm du
=\displaystyle\int_{u=0}^{u=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}9\sin v\,\mathrm dv\,\mathrm du
=-18\pi\cos v\bigg|_{v=0}^{v=\pi/4}
=18\pi\left(1-\dfrac1{\sqrt2}\right)
=9(2-\sqrt2)\pi
3 0
2 years ago
patsy's pizzeria sold 3 5/6 vegetables pizzas yesterday. they sold 3 times as many pepperoni pizzas. how many pepperoni pizzas d
dsp73

Answer:

11.5

Step-by-step explanation:

3 x  3 5/6

3 x 23/6

=69/6

=11.5

8 0
3 years ago
What is the image point of (-7,0) after a translation left 4 units and up 1 unit?
ivann1987 [24]

Answer:

(-11, 1)

Step-by-step explanation:

x-values are horizontal and y-values are vertical

so add -4 to -7 to get -11

add 0 to 1 to get 1

new point is at (-11,1)

7 0
2 years ago
How do you solve 42 divided by 63
Dafna1 [17]

42  ÷ 63

  63 -> 420

63x6=378


420-378=42

       63->420


So, how many times does 63 go into 42? Well, it doesn't. So put down a zero on your paper, and then a decimal. So if we add a zero onto 42, it becomes 420. Well, 420 is divisible by 63. In fact, 63 goes into 420 6 times, making a total of 378. 420-378 = 42. Then the process begins again. So you've got a 0.6, and that six just keeps on repeating. On paper, you're gonna wanna put a dash over the six to show that it's repeating.


Anyways, the answer is .66 repeating.

6 0
3 years ago
Read 2 more answers
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