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taurus [48]
3 years ago
6

Which of the following correctly uses absolute value to show the distance between –60 and 11?

Mathematics
1 answer:
MissTica3 years ago
4 0

Answer:

C) |–60 + 11| = |–49| = –49 units

Step-by-step explanation:

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. 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

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

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.

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3 years ago
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AveGali [126]

I think there is 45 flowers in total.

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3 years ago
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