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gtnhenbr [62]
3 years ago
7

Find each measurement indicated. Round your answers to the nearest tenth.

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Find AB using the Law of Sine:

\frac{AB}{sin(C)} = \frac{AC}{sin(B)}

Thus:

\frac{AB}{sin(40)} = \frac{47}{sin(103)}

Multiply both sides by sin(40)

\frac{AB}{sin(40)}*sin(40) = \frac{47}{sin(103)}*sin(40)

AB = \frac{47*Sin(40)}{sin(103)}

AB = 31.0056916 ≈ 31.0 cm (nearest tenth)

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Two automobiles start together from the same place and travel along the same route. The first averages 40 miles
natita [175]

Answer:

A. (55 x 5) - (40 x 5)

Step-by-step explanation:

You are solving how much miles (further along) would the second car be after 5 hours.

The first car averages 40 miles per hour. 5 hours later, it will have averaged about 200 miles in 5 hours (40 x 5 = 200).

The second car averages 55 miles per hour. 5 hours later, it will have averaged about 275 miles in 5 hours (55 x 5 = 275)

Subtract: 275 - 200 = 75

The second car would have averaged 75 more miles than the first car.

~

4 0
3 years ago
Read 2 more answers
. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

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Emily would have covered a distance = 2.7778 x 1800

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The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0
2 years ago
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