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slamgirl [31]
3 years ago
15

Prove the following identi v 1-cos2A/sin2A=tanA

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

 1-cos2A/sin2A

=(1-cos^2 A+sin^2 A)/(2sinAcosA)

=(sin^2 A+sin^2A)/2sinAcosA

=2sin^2 A/2sinAcos^2 A

=sinA/cosA

=tanA

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Part A) = D) 13.33 m/sec

Part B) = A) Deer wins by 2.08 seconds

Step-by-step explanation:

Part A)

From the question in Part A, we know that, the White-tailed deer can run at 48 kilometers per hour for short periods. We were asked in the question, How many meters per second does the deer run?

The question gave us this (Hint: remember that there are 1,000 meters in a kilometer, 60 seconds in a minute, and 60 minutes in an hour.)

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Cross Multiply

= 1km × x meters = 48km × 1000 meters

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= 48000meters/3600 seconds

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= 13.33m/s

Part B

From Part B Question, we know that Usain Bolt set a world record of 9.58 seconds for the 100 meter dash.

White-tailed deer can run at 48 kilometers per hour for short periods.

If Mr. Bolt and a white-tailed deer run a 100 meter dash at these speeds, who would win, and by how much?

Using our answer in Part A,

We know that the deer runs

48,000 meters in 3600 seconds.

The first step would be to find how many seconds it can run in an 100 meter race

Hence,

48,000 meters = 3600 seconds

100 meters = y seconds

We cross Multiply

48,000 meters × y seconds = 3600 seconds × 100 meters

y seconds = 3600 seconds × 100 meters/ 48,000 meters

y second = 7.5 seconds

This means, the deer can run a 100 meter dash in 7.5 seconds.

From the question, we know that Usain Bolt set the record of 9.58 seconds for an 100 letter dash.

The difference between both times for the Usain Bolt and the Deer = 9.58seconds - 7.5 seconds

= 2.08 seconds

Therefore the winner is the Deer , because it finishes the race is a shorter time of 7.5 seconds and wins by 2.08 seconds. Therefore, Option A) Deer wins by 2.08 seconds is correct

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3 years ago
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