The Huey family is buying a winter cover for their above-ground pool, which is rectangular and measures 18 ft x 9 ft. They wish for the cover to extend 15 inches over the pool on each side.
Given:
1 pack = 5 pencils and cardboard.
1 pack should weigh between 60 grams and 95 grams
60g < x < 95g; where x signifies 1 pack.
Cardboard: 15 grams.
95g - 15g = 80g represents the maximum total weight of 5 pencils.
80g / 5 = 16g is the maximum weight for a single pencil.
60g - 15g = 45g is the minimum total weight of 5 pencils.
45g / 5 = 9g is the minimum weight for a single pencil.
9 < x < 16; where x represents a single pencil in the pack.
Answer:
Width of the rectangular prism
To determine the volume of the rectangular prism, we utilize the following formula:
v = lwh
Where:
v = volume
l = length
w = width
h = height
Now,
The variables provided in the problem include:
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
By substituting these values into the volume formula, we have:
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ Therefore, the width of the rectangular prism measures 4.5 inches.
H (t) = - 16t ^ 2 + 16t + 480
To address this, we first set the polynomial to zero to find its roots.
So we have:
0 = -16t ^ 2 + 16t + 480
This leads us to the roots of the polynomial:
t1 = -5
t2 = 6
We disregard the negative root since time cannot be less than zero.
Final answer:
Rose takes about
t = 6 seconds
