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alukav5142 [94]
3 years ago
9

Mr. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles an hour faster than the fir

st rate. How many miles did Mr. Anderson drive during 5 3/4 hours? (Middle school)
Mathematics
1 answer:
BartSMP [9]3 years ago
5 0
Remember that distance = rate times time.

First distance = 168 miles; time was 3.5 hours.  Rate was 48 mph.
5 miles per hour faster than that was 53 mph.

Second distance = (2 1/4 hours)*(53 mph) = 119.25 miles

Total distance driven in those 5 3/4 hours:  168 mi + 119.25 mi = 287.25 mi
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cosθ = cotθ/cscθ is a true statement. The answer is option B

<h3>How to determine which of the trigonometric statements are true?</h3>

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles

A. tan²θ = 1 - sec²θ

tan²θ = 1 - sec²θ  

tan²θ = 1 - 1/cos²θ               (Note: sec²θ  = 1/cos²θ)

tan²θ = (cos²θ- 1)/cos²θ

tan²θ =  -sin²θ/cos²θ            (Note: cos²θ- 1  =  -sin²θ)

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This statement is not true

B. cosθ = cotθ/cscθ

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This statement is true

C. 1/sec²θ   = sin²θ + 1  

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This statement is not true

D. sec²θ - 1 = 1/cot²θ  

sec²θ - 1 = 1/cos²θ - 1

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sec²θ - 1 = tan²θ

This statement is not true

E. sinθ cscθ  = tan θ  

sinθ cscθ  = tan θ

sinθ cscθ = sinθ (1/sinθ)

sinθ cscθ = 1  

This statement is not true

Therefore, the true statement is cosθ = cotθ/cscθ

Learn more about Trigonometry on:

brainly.com/question/29529966

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See explanation

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