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lisabon 2012 [21]
3 years ago
13

I'll give 100 points to who gives the best answer.

Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Total shaded area is 41 square feet.

Split the shaded area into 3 shapes, calculate the area of each shape then add them together.

See attached picture.

Area of non shaded region:

8x 16 = 128 square feet - 41 = 87 square feet.

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A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
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Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

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B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

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θ = sin^(-1) 0.4803

θ = 28.7°

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Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

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Answer:

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