A radio station broadcasts a signal over an area with a 120-mile diameter. The population density of the area is 100 people per
1 answer:
Answer:
1,130,400 people
Step-by-step explanation:
Find the area of the broadcasting area, using the circle area formula.
Since the diameter is 120 miles, the radius will be 60 miles.
Use the circle area formula, plug in 60 as r, and plug in 3.14 as pi:
A = r²
A = (3.14)(60²)
A = 11304
So, the area is 11304 square miles
To find how many people are in receiving distance, multiply this by 100, since there are 100 people per square mile.
11304(100)
= 1,130,400
So, 1,130,400 people are within receiving distance of the signal.
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The reason behind the statement m∠TRS + m∠TRV = 180° is; Angle Addition Postulate
<h3>How to use angle addition postulate?</h3>Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which from the attached image is;
m∠ABD + m∠DBC = m∠ABC.
From the attached image, we want to prove that x = 30°.
Now, T is the interior of straight angle ∠VRS.
m∠VRS = 180° (straight line angle)
Thus, from angle addition postulate, we can say that;
m∠TRS + m∠TRV = 180°.
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