C=2πr
We have 3/4 of circumference
(3π/2)*2π=3/4.
and it is equal 5π/2.
(3/4)*C=(3/4)*2πr
5π/2 = 6πr/4
5/2=6r/4
r=(5/2)*(4/6)=(5*4)/(2*6)=5/3
r=5/3
For this case we have the following equation:
h = -16t2 + 64t + 80
To find the maximum height, we derive the equation:
h = -32t + 64
We match zero:
-32t + 64 = 0
We clear t:
t = 64/32
t = 2
We substitute the value of t in the given equation:
h (2) = -16 * (2) ^ 2 + 64 * (2) + 80
h (2) = 144
Answer:
The maximum height is 144 feet and the time to reach this height is 2 seconds.
Answer:
see explanation
Step-by-step explanation:
Sum the 3 consecutive integers and equate to 36
x + x + 2 + x + 4 = 36
3x + 6 = 36 ( subtract 6 from both sides )
3x = 30 ( divide both sides by 3 )
x = 10
The 3 consecutive integers are
10, 10 + 2, 10 + 4, that is
10, 12, 14
24:16 which is simplified by dividing both sides by 8 so it becomes:
3:2
Hope this helps :)
