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Zolol [24]
3 years ago
5

Find the area created by the overlapping circles given the following information.

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0

Answer:

<u><em>16.10 in2</em></u>

Step-by-step explanation:

Find the area created by the overlapping circles given the following information.

Circle A: radius = 6in and m∠CAD = 90°

Circle B: radius = 8in and m∠CBD = 60°

Round your answer to the nearest hundredth if necessary.

5.83 in2

10.27 in2

<u><em>16.10 in2</em></u>

27.68 in2

Odyssey

lara31 [8.8K]3 years ago
5 0

The area of a circular sector of central angle α (in radians) in a circle of radius r is given by

... A = (1/2)r²×(α - sin(α))


Your area is expected to be computed as the sum of the areas of a sector with angle π/3 in a circle of radius 8 and a sector with angle π/2 in a circle of radius 6.


... A = (1/2)8²×(π/3 - sin(π/3)) + (1/2)6²×(π/2 - sin(π/2))

... A ≈ 16.07


Radii are in inches so the units of area will be in². The appropriate choice is

... 16.10 in²


_____

It should be noted that the geometry described is impossible. Chord CD of circle A will have length 6√2 ≈ 8.4853 inches. Chord CD of circle B will have length 8 inches. They cannot both be the same chord.

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the sum of the expanded angle is 180⇒

40+40+2x+30=180\\2x=70\\x=35

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3 years ago
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2 years ago
An interior designer sketches a design for a rectangular rug. The dimensions of a sketch are 4 inches by 7.5 in. The dimensions
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3,000 in.

(4 x 10) + (7.5 x 10) = 3000


The dimensions on the sketch are 10 times less than the actual rug.


40 in., 7.5 in.


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4 0
3 years ago
The height h, in feet, of a ball that is released 4 feet above the ground with an initial velocity of 80 feet per second is a fu
gulaghasi [49]

Answer with Step-by-step explanation:

The height of the ball from the ground as a function of time is given by

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The height of the ball at any instant of time can be found by putting the value of time 't' in the above relation as

Part a)

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Part b)

Height of ball after 4 seconds it is released is

h(4)=-16\times 4^2+80\times 4+4=68feet

4 0
3 years ago
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dsp73
90/139 is the only fraction not equivalent to 45/70.

To find if a fractions are equivalent, divide the numerator by the denominator for each fraction.

45/70=0.642857
27/42=0.642857
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Notice how all of these get you the same number. However, when you divide 90 by 137, you get 0.64748, which is not the same as the others. Therefore, 90/137 is the fraction that is not equivalent to 45/70.

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