Samantha wants to put a fence around her backyard. She buys the fence in 6-foot sections and needs 12 sections. She spends a tot
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<h3>Answer: 110 square miles</h3>
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Explanation:
There are a few ways to do this.
One method involves drawing a horizontal line to form three rectangles as show below. Note the labels A,B,C.
- Rectangle A in the upper left corner has area of base*height = 6*7 = 42 square miles. I'll let A = 42 since we'll use it later.
- Rectangle B is 20 miles across horizontally (base) and 2 miles tall vertically (height). The 2 miles is from 9-7 = 2. The area of rectangle B is 20*2 = 40 square miles. Let B = 40.
- Then finally, C = 28 because rectangle C is 4 miles across and 7 miles tall, so 4*7 = 28.
Add up those three sub areas found: A+B+C = 42+40+28 = 110 square miles
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There are other methods you could do. A second method is to draw two vertical lines to form 3 other rectangles, then add up the sub areas to get 110.
A third method is to draw a horizontal line across the top to form one large rectangle (20 mi by 9 mi) and subtract off the area of the 7 mi by 10 mi inner rectangle (the empty space), so you'd say 20*9 - 7*10 = 180-70 = 110
Answer:
135 degrees
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Remember that the circumference of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the measurement of the central angle (in degrees) that intercepts an arc with a length of 9π/2 ft