Express answer in exact form.

Mathematics

2 answers:

zepelin [54]2 years ago

7 0

I'm guessing that you want to find the segment area of a circle that has a radius AO = 8" and a chord AB with a length of 8".

Sine angle AOD = AE / OA
Sine angle AOD = 4 / 8
Sine angle AOD = .5
arc sine (.5) = 30 degrees
So, angle AOB = 60 degrees

Circle Area = PI * radius^2
Circle Area = 201.06
Sector Area = (60/360) * 201.06
Sector Area = 33.51

Line OE^2 = AO^2 -AE^2
Line OE^2 = 64 -16
Line OE = 6.9282032303 

Triangle AOB Area = OE*AE = 6.9282032303 * 4
Triangle AOB Area = 27.7128129211 

Segment Area = Sector Area -Triangle AOB Area
Segment Area = 33.51 -27.71
Segment Area = 5.80

Sedaia [141]2 years ago

6 0

A=(64/6 pie 18~3) inches 2

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680,000

Step-by-step explanation:

Population before growing rate: 400,000

Growing rate: 7%

Duration: 10 years

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First, you will have to calculate how much does the population increase each year with the said rate, so you will have to multiply the rate by the population to determine that amount.

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This means that the population has increased by 280,000 in these 10 years. Finally, you will have to add that number to the population amount to get the answer.

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2 years ago

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2 years ago

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