Answer:
The length of one side of the hot tub is 4.8ft
Step-by-step explanation:
Given
Shape: Square
-- scale factor

Required
Side length of ABCD (the hot tub)
From the question, we understand that
ABCD dilated by 5 to A'B'C'D
This implies that:
i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D
So, we have:

Divide by 5

Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:



Where
is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
(1)
If we know that
, then the shortest length of the triangle is:
and 
Since length is a positive variable, the only possible solution is:

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Answer:
61.6666666667 =61.67
Step-by-step explanation:
Answer:
Step-by-step explanation:Since we want to know how much time elapsed since the object was launched until it ht the ground. At the ground, the height is 0.
Therefore the equation h(t) = 80t – 16t2 becomes 0= 80t – 16t2
Solving the equation for t gives 80t =16t2 or 16t=80 or t=5sec
The object hits the ground 5 seconds after it is launched.