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Lemur [1.5K]
3 years ago
9

Two consecutive integers are added. The square of their sum is 361. What are the integers?

Mathematics
1 answer:
artcher [175]3 years ago
8 0
The integers are 9 and 10. 9 + 10 = 19. 19^2 = 361
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3 years ago
2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degr
Damm [24]

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

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Speed = 140 mph

Time = 2.5 hours

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Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

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Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

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The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

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c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

5 0
3 years ago
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