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Schach [20]
3 years ago
12

Your friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 0.5 minute?

Mathematics
1 answer:
Allushta [10]3 years ago
7 0
60 seconds in a minute

12 goes into 60, 5 times,
So 5 * 28 = 140
140 claps per minute

0.5 minute is 30 seconds, half a minute so divide by 2,
140/2 = 70

70 times every 0.5 minutes
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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
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Answer:

The distance between them after 30 minutes is 6.5 km.

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Speed = \frac{distance}{time}

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Sarah would have covered a distance = 1.6667 x 1800

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                               = 3 km

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                               = 5000 m

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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.

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