Answer:
a.2s b.43.6m
Step-by-step explanation:
h(t)=−4.9t2+19.6t+24
24m = inittial possition
-4.9 t2= -1/2 g t2
19.6t= Vo t
as the initial velocity is positive, the ball is thrown up.
the maximum height of the ball is reached when the velocity is 0
V= Vo-gt=19.6m/s-9.8m/s2 t=0
t=19.6/9.8=2s
<u>it takes 2seconds for the ball to reach its maximum height</u>
h(t)=−4.9t2+19.6t+24
h(2)=-19.6m+39.2m+24=43.6m
<u>the maximum height of the ball is 43.6m</u>
Answer:
Step-by-step explanation:
Area of Square = side * side
= 9 * 9 = 81 sq.m
There are 4 quadrants.
r = 9/2 m = 4.5 m
Area of 4 quadrants = 4 * (1/4) * πr² = πr²
= 3.14159 * 4.5 * 4.5
= 63.62 sq.m
Area of shaded part = Area of square -Area of 4 quadrants
= 81 - 63.62
= 17.38 sq.m
Answer:
Ratio of triangle AMN to square ABCD = 1/8
Step-by-step explanation:
area AMN = Area ABN - Area MNB
Where AB = BC = x
Area AMN = [ ½ *( x * ½x )] - [ ½( ½x * ½x)] = x²/8
Area of ABCD = x* x = x²
So therefore:
The ratio of area of triangle AMN to area of square ABCD would be
= (x²/8) / x²
=1/8
<span>5.8+4.1-12.6+x-8.9=-4.6
We move all terms to the left:
5.8+4.1-12.6+x-8.9-(-4.6)=0
We add all the numbers together, and all the variables
x-7=0
We move all terms containing x to the left, all other terms to the right
x=7</span>
Carolyn has more than enough paint to cover that wall because she has a gallon of paint that can be done to get the wall painted.