Answer:
angle BAC is complementary to angle ACB
Step-by-step explanation:
Complementary angles add up to 90 degrees.
In a triangle, the sum of angles is 180 degrees.
ABC is a right triangle, so angles a+c=90 degrees.
Answer:
The volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
Step-by-step explanation:
We are given a base diameter of a right circular cylinder as :
d = 17.5 ft.
hence radius of cylinder i.e. r =d/2 = 8.75 ft.
height of the cylinder = 24.5 ft.
now we know that volume of cylinder i.e. V is given by :
V = πr²h
putting the value of r and h in the given formula to obtain the volume
V = 3.14×(8.75)²×24.5
= 5889.95 ft³
hence, the volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
Answer:
Increasing: -10<x<-8. 8<x<10. -2<x<0.
Deacresing: 3<x<7.
Neither Increasing nor decreasing: -8<x<-5
Answer:
D
Step-by-step explanation:
I think D is the answer.
Set s(t) = 0 which means it hits the ground. The formula doesn't fit the parameters given as it shows that the pitcher is standing on something 37 feet high.
<span>s(t)=-16t^2+140t+37 and has an initial velocity of 140.
Graphing or solving this, t= 9 seconds when it hits the ground.
The velocity V(t) is the derivative of s(t)
V(t) = -32t+140
V(9) = -148 ft/second which is going down
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