If the ball hit the ground it means that its height is equal to 0. In order to find the time after the ball will hit the ground, we need to find the solution of the equation h(x)=0 which is different to 0.

-4.9x^2+21.3x=0
x(-4.9x+21.3)=0
-4.9x+21.3=0
x=21.3/4.9 = 4.3469 seconds

4 0

2 years ago

There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t

Harrizon [31]

A) The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. You know the length of the gift shop, l = 20x + 24. You know the width, w = 36x - 20. Plug those expressions into the equation for area of a rectangle and multiply/foil:
$A = lw\\
A = (20x + 24)(36x - 20)\\
A = (20x)(36x) + (20x)(-20) + (24)(36x) + (24)(-20)\\
A = 720x^{2} - 400x + 864x - 480\\
A = 720x^{2} + 464x - 480$

The expression for the area of the gift shop is $720x^{2} + 464x - 480$ .

B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
$P = 2(l+w)\\
P = 2(20x + 24 + 36x - 20)\\
P = 2(56x + 4) = 2(56x) + 2(4)\\
P = 112x + 8$

The expression for the perimeter of the gift shop is 112x + 8

C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
$P = 112x + 8\\
176 = 112x + 8\\
112x = 168
x = 1.5$

Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) Length = 20x+24 feet
Length = 20(1.5) + 24 feet = 54 feet
2) Width = 36x-20 feet
Width = 36(1.5)-20 feet = 34 feet

Your dimensions are 54 feet (length) by 34 feet (width).

3 0

2 years ago

Please help me with this.

N76 [4]

If you use a textbook for this i would recommend slader, it really works!!

7 0

2 years ago

What the answer to this plz help

Blizzard [7]

Answer:

Step-by-step explanation:

7 0

2 years ago

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