Answer:
Step-by-step explanation:
The equation used to represent the height of the ball, h in feet after t seconds is expressed as
h = -16t² + 48t + 8
The equation is a quadratic equation. The plot of this equation on a graph would form a parabola whose vertex would be equal to the maximum height travelled by the ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = -16
b = 48
Therefore,
Vertex = - 48/2 × - 16 = 48/32 = 1.5 seconds
So the ball will attain maximum height in 1.5 seconds.
To determine the maximum height, we would substitute t = 1.5 into the given equation. It becomes
h = -16(1.5)² + 48(1.5) + 8
h = - 36 + 72 + 8 = 44 feet
Find the volume of the bottom and top separately and then add them. Cylinder volume is the area of the bottom times the height (22/7)(5^2)•175=13750 ft^3
The volume of a sphere isV=(4/3)(22/7)r^3where r is the radius. also 5 since it fits on the cylinder. Also we only want half the sphere so useV=(2/3)(22/7)•5^3=261.9 ft^3 round upto 262. Now add together 13750+262=14,012 ft^3
Hope this helps~!!!!!
Answer:
3.8
Step-by-step explanation:
pls mark as brainliest
Slope between the points (x1,y1) and (x2,y2) is
(y1-y2)/(x1-x2)
given
(8,10) and (1,5)
(x,y)
x1=8
y1=10
x2=1
y2=5
slope=(10-5)/(8-1)=5/7
slope=5/7
