The lines on a basketball form a half circle at the free throw line. Use the picture to determine the area of the half circle. Round your answer to the nearest tenth.
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
A. 10000000 It's because 2720000 is smaller than 5000000.
I hope I helped:)
Answer:
6 meters
Step-by-step explanation:
Th equation to find the diameter of a circle is,
radius * 2.
The radius of the swimming pool is 3, so 3 * 2 is 6.
Hope this helps!!
Let me know if I'm wrong...
