Answer:
12 feet.
Step-by-step explanation:
h= -(2)^2+8(2)
h= -4+16
h= 12
Answer:
First find the sum of 3/8 and -5/12
That is
3/8 - 5/12
First find the common denominator
The common denominator is 24
We get
3/8 - 5/12 = 3(3) - 5(2) / 24
= 9 - 10 / 24
= - 1 / 24
Next find the product of 16/27 x(-15)/8
That's
16/27 × -15/8
= -10/9
Next reverse -10/9
Which is -9/10
Next we divide it by = -1 /24
so we get
-1/24 ÷ -9/10
Change the sign to (×) and reverse the second fraction
We get
-1/24 × -10/9
= 5 / 108
Hope this helps
In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.
The formula of surface area of cylinder is
![A= 2 \pi r^2 + 2 \pi r h](https://tex.z-dn.net/?f=%20A%3D%202%20%5Cpi%20r%5E2%20%2B%202%20%5Cpi%20r%20h%20)
Substituting the values of A and r, we will get
![791.68 = 2* \pi * 9^2 + 2 * \pi * 9*h \\ 791.68 = 162 \pi + 18 \pi h \\ 791.68 -162 \pi = 18 \pi h \\ h = \frac{791.68 -162 \pi}{18 \pi} \\ h =5 units](https://tex.z-dn.net/?f=%20791.68%20%3D%202%2A%20%5Cpi%20%2A%209%5E2%20%20%2B%202%20%2A%20%5Cpi%20%2A%209%2Ah%0A%5C%5C%0A791.68%20%3D%20162%20%5Cpi%20%2B%2018%20%5Cpi%20h%0A%5C%5C%0A791.68%20-162%20%5Cpi%20%3D%2018%20%5Cpi%20h%0A%5C%5C%0Ah%20%3D%20%5Cfrac%7B791.68%20-162%20%5Cpi%7D%7B18%20%5Cpi%7D%0A%5C%5C%0Ah%20%3D5%20units%20)
So the height of the cylinder is 5 units .
Josephine travels 32500+78000 yards at 60 mph
=110500yards
=62.78miles
time = distance/spped
time = distance/60
time=62.78/60
time=1.05 (1 hour 5 mins)
Marcus travels 78000(2)(square) +32500(2)
= 84500yards
=48 miles
time = distance/speed
time=48/45
time=1.07 (1 hour 7 mins)
a)Josephine arrives first
b)she arrives earlier by 2 mins.