Answer:
Option E.
Step-by-step explanation:
Let the intended length of Rebecca's swimming is = x units
and we assume the length of the pool = l units
Now it is given in the question that " She covers one fifth of her intended distance "
That means distance covered = 
" After swimming six more lengths of the pool she had covered one quarter of her intended distance"
So 


x = 20×(6l)
x = 120l
Therefore, Rebecca has to complete 120 lengths of the pool.
Option E is the answer.
A regular pentagon is a polygon with five sides of equal length.
The perimeter of a regular polygon is the number of sides (n) multiplied by the length of one side (s).
P=ns
100=5s
s=20
The length of each side is 20 inches
Answer:
-1/4 meter per minute
Step-by-step explanation:
Since, the volume of a cube,

Where, r is the edge of the cube,
Differentiating with respect to t ( time )

Given, 
Also, V = 8 ⇒ r = ∛8 = 2,
By substituting the values,



Hence, the rate of change of an edge is -1/4 meter per minute.
Answer:
40 hours
Step-by-step explanation:
47.3-40= 7.3
He worked 7.3 hours overtime meaning he worked 40 regular hours.
Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:

We can divide by -16, nothing will happen because 0 divided by anything is 0:

To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":

So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:

Both answers would be valid, but there can't be negative time, so your answer is
"It takes 9 seconds for the rock to reach the water."