<h2>
Explanation:</h2>
In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:
So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:
Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m
Answer:
40.56 ft
Step-by-step explanation:
The perimeter is the sum of the lengths of the "sides" of this figure. Starting from the left side and working clockwise, the sum is ...
P = left side (8 ft) + top side (10 ft) + semicircle (1/2×8 ft×π) + bottom side (10 ft)
= 28 ft + 4π ft
= (28 +12.56) ft
P = 40.56 ft
Let's say this number is a:
a*(a-9) = 90
a^2-9a-90 = 0
(a-15)(a+6) = 0
a = 15 or a = -6
Therefor a. would be the correct answer :)
Answer:
21 1/3 inches
Step-by-step explanation:
Inverse variation means that when the frequency goes up by a factor of 576/256 = 9/4, the length of the string goes down by a factor that is the inverse of that, 4/9.
4/9·48 inches = 21 1/3 inches
Answer:
5.18÷5=1.036 so round up to 1.04
