Answer:
<h3>Surface Area = 1,256 cm</h3>
<u>Solution:</u>
formula: Surface Area of a Sphere: 4π · r²
Surface area = 4π · r²
SA = 4(3.14) (10)²
SA = (12.56)(100)
SA = 1,256
Answer:
x = 10
Step-by-step explanation:
Since both equations give y in terms of x, equate the right sides
3x - 28 = - 2x + 22 ( add 2x to both sides )
5x - 28 = 22 ( add 28 to both sides )
5x = 50 ( divide both sides by 5 )
x = 10
The slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have two points (2, 0) and (-2, -4). Substitute:
![m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-4-0%7D%7B-2-2%7D%3D%5Cdfrac%7B-4%7D%7B-4%7D%3D1)
Therefore we have the equation of a line
![y=1x+b\to y=x+b](https://tex.z-dn.net/?f=y%3D1x%2Bb%5Cto%20y%3Dx%2Bb)
Put the coordinates of the point (2, 0) to the equation:
<em>subtract 2 from both sides</em>
![-2=b\to b=-2](https://tex.z-dn.net/?f=-2%3Db%5Cto%20b%3D-2)
Answer: ![\boxed{y=x-2}\to\boxed{3)}](https://tex.z-dn.net/?f=%5Cboxed%7By%3Dx-2%7D%5Cto%5Cboxed%7B3%29%7D)
The exterior and an interior angles always add up to 180 degrees.
180-150=One exterior angle
180-150=30
We know that all of the exterior angles add up to 360
360/30= the number of sides
360/30=12
The shape has 12 sides.