Answer:
<em>The circle has a radius of 41 inches</em>
Step-by-step explanation:
<u>Circles</u>
There are certain relations in a circle that help us to identify and calculate some of its characteristics.
The figure shows a circle with three parameters which will lead us to determine its radius. First, we have a chord that measures 80 inches. Since it doesn't go through the center of the circle, it's not the diameter.
But we also have the distance from the center to the chord, making a right angle with it. This makes the chord be divided into two equal parts of 40 inches each.
Now we form a right triangle joining the center to one of the extremes of the chord. The hypotenuse of this triangle is the required radius of the circle. Like every right triangle, this must comply with Pithagora's theorem:

where r is the hypotenuse and x, y are the legs or the smaller sides of the triangle. We have determined that x=9, y=40 (or vice-versa, it doesn't matter). Therefore

Solving for r

The circle has a radius of 41 inches
The following is an example of a cluster sampling.
Cluster sampling<span> is a </span>sampling<span> technique used when "natural" but relatively heterogeneous groupings are evident in a statistical population. It is often used in marketing research. In this technique, the total population is divided into these groups (or </span>clusters) and a simple randomsample<span> of the groups is selected.</span>
Answer:

Step-by-step explanation:
Given the expression

First, factor each denominator:
1. 
2. 
Now the expression is

Now, multiply the first numerator by (y-3) and the second by (y-4) and write the result as a fraction with denominator 

This fraction cannot be simplified more.
Answer:
130 minutes
Step-by-step explanation:
total minutes = Project A minutes + Project B minutes
= (60 +25) minutes + 45 minutes
= 130 minutes
130 minutes were spent on the two projects combined.
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1 hour is 60 minutes