Step-by-step explanation:
Let's say R is the initial radius of the sphere, and r is the radius at time t.
The volume of the sphere at time t is:
V = 4/3 π r³
Taking derivative with respect to radius:
dV/dr = 4π r²
This is a maximum when r is a maximum, which is when r = R.
(dV/dr)max = 4π R²
This is 4 times the sphere's initial great circle area, but not the great circle circumference. The problem statement contains an error.
Answer:
B. AA similarity postulate
Answer:
x=11(12y-15)
Step-by-step explanation:
4x(3y-2)=7x+11
12xy-8x=7x+11
12xy-8x-7x=11
12xy-15x=11
x(12y-15)=11
x(12y-15)/(12y-15)=11/(12y-15)
x=11/(12y-15)
Answer:
27 degrees
Step-by-step explanation:
5t - 13 = 3t + 3
subtract 3t on both sides
2t - 13 = 3
add 13 to both sides
2t = 16
divide by 2 on both sides
t = 8 degrees
Now, plug in 8 to the measure of x
5(8) - 13 = 27
