Answer:
10.8239 approximately 10.82 (in 2 decimal places)
Step-by-step explanation:
the steps are shown in the picture attached :))
Answer:
209.4 mm³
Step-by-step explanation:
V = (πr²h)/3
V = (200π)/3
Plug it into a calculator to get 209.4.
How much dose it cost per pound?
Answer:
10:21 in the morning
Step-by-step explanation:
8:00-8 hrs=12:00
12:00-1 hr and 39 min = 10:21
Answer:
Reaches a maximum height of 235.00 feet in 3.75 seconds.
Step-by-step explanation:
The height of the boulder, h, in feet after t seconds is given by the function is given by :
.....(1)
For maximum height, put ![\dfrac{dh}{dt}=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdh%7D%7Bdt%7D%3D0)
i.e.
![\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%28-16t%5E2%2B120t%2B10%29%7D%7Bdt%7D%3D0%5C%5C%5C%5C-32t%2B120%3D0%5C%5C%5C%5C32t%3D120%5C%5C%5C%5Ct%3D3.75%5C%20s)
Put t = 3.75 in equation (1). So,
![h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}](https://tex.z-dn.net/?f=h%3D-16%283.75%29%5E2%2B120%283.75%29%2B10%5C%5C%5C%5Ch%3D235%5C%20%5Ctext%7Bfeet%7D)
So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.