Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
Answer:
x = 4
Step-by-step explanation:
3x -5 = -2 + 9
-2 + 9 = 7 so now its 3x - 5 = 7
add 5 to the -5 so it cancels itself out. then add the 5 to 7 so it become 12. the you have 3x = 12
divide 12 ÷ 3 = 4
x = 4
Answer:
10 
Step-by-step
Reduce
to
and simply subtract.
Let angle = x
sinx = 43.2/72.5
=> x = 36.57 degrees