Answer:
17 inches
Step-by-step explanation:
Given
--- Perimeter of rectangle
Required
The length of the original square
The perimeter is calculated as

Divide by 2

The rectangle and the square have the same length.
So:

becomes


Divide both sides by 3

Recall that:



Answer:
53
Step-by-step explanation:

,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:
2 Gallons.
Step-by-step explanation:
If 8 gallons are lost in one hour, then 4 will be lost in 30 minutes. Half of thirty minutes is 15 minutes, and half of 4 is 2.
Answer:
x = 8
Step-by-step explanation:
you have similar triangles here
so 2 is to 4 as 4 is to x
2/4 = 4/x
x = 8