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suter [353]
3 years ago
11

Naomi has earned 54 dollars mowing lawns the past two days. She worked 2 1/2 hour yesterday and 4 1/3 hours today. If Naomi is p

aid the same amount for every hour she works,how much does she earn per hour to mow lawns? Please explain/show work
Mathematics
1 answer:
mart [117]3 years ago
7 0
Ontem = 1/2 h = 0,5 h = 30 min
hoje = 4 h + 1/3 h = 1 h + 60/3 = 1 h e 20 min = 80 min

30 min + 80 min = 110 min

110 min.................54
60 min....................x

11x = 54*6
11x = 324
x = 324/11
x ~ 29,45 por hora


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If the measure of angle θ is 3π/4, the true statements are:

  1. sin(θ) = √2/2.
  2. The measure of the reference angle is 45°.

<h3>How to determine the true statements?</h3>

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 135

Reference angle = 45°.

Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

tan(θ) = cos(θ)/sin(θ)

tan(θ) = [(-√2/2)/(√2/2)]

tan(θ) = -1

In conclusion, we can logically deduce that only options A and B are true statements.

Read more on terminal point here: brainly.com/question/4256586

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Complete Question:

If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.

A. sin(θ)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(θ)=sqrt2/2

F. tan(θ)=1

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Answer:

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Step-by-step explanation:

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