Answer:
Object will reach the max height in 10 seconds.
Max. height is 1817.
It will hit the ground in 20 seconds.
Step-by-step explanation:
In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.
h'(t)=-12t+120=0
t=10
The object will reach its maximum height in 10 seconds.
h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817
Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.
10.2=20
79.90*0.8= 63.92
Answer
63.92
To find the length and width of 3 different rectangles that have an area of 48 square inches, you can use the factor pairs that result in 48.
The reason is that to find the area of a rectangle you multiply two dimensions.
2 in x 12 in
3 in x 8 in
4 in x 6 in
On all these either one could be the length and the other the width.
The polygon with the shortest perimeter for a given area is a regular polygon. The regular 4-sided polygon is the square.
The side length of the square with an area of 100 ft² is √(100 ft²) = 10 ft.
The rectangle with the minimum perimeter for an area of 100 ft² is 10 ft by 10 ft.