P=2L+2W
P-2W=2L
P/2-W=L
L=P/2-W
Answer:
I'm pretty sure that's an angle.
Step-by-step explanation:
Answer:
A' = (6, 15)
Step-by-step explanation:
We consider the center point of dilation to be the origin (0,0)
so point A(-2, -5) to A' by scale factor N = -3 means
A' = (-2*(-3), -5*(-3)) = (6, 15)
The surface area of the sphere is given by the equation
,
where A is the surface area and r is the radius.
We want to find the volume of the sphere, which is given by the equation
,
where V is the volume and r is the radius.
Looking at these equations, we see that they both involve the sphere's radius. If we know what r is, we can calculate the volume.
We know that the sphere's surface area is . Plugging that in for A in the surface area equation, we get
, then divide by
, then divide by 4
, then take the square root of both sides
So the radius of the sphere is 3. Plugging this into the volume equation,
, simplify terms
, multiply by 27
So the volume of the sphere is .