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tatyana61 [14]
3 years ago
12

Which of the following rates converts to a unit rate of $12.50 per hour

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0
What are the following rates?
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I need a written answer for all three questions please.
Setler79 [48]

The values of the trigonometry ratios are:

  • cos α = - 5/13 and cot α = 5/12
  • cot α = -5/12 and sec α = 13/5

<h3>How to solve the trigonometry ratios?</h3>

<u>1: sin α = -12/13 and tan α > 0, find cos α and cot α</u>

Because tan α > 0, then it means that cos α and sin α are negative

So, we have:

sin²α + cos²α = 1

Substitute sin α = -12/13

(-12/13)² + cos²α = 1

This gives

cos²α = 1 - (-12/13)²

Evaluate the squares

cos²α = 1 - 144/169

Evaluate the difference

cos²α = 25/169

Take the square root of both sides

cos α = - 5/13

The cotangent ratio is represented as:

cot α = cos α/sin α

This gives

cot α = (-5/13)/(-12/13)

Evaluate

cot α = 5/12

Hence, cos α = - 5/13 and cot α = 5/12

<u>2: tan α = -12/5 for α in quadrant IV, find sec α and cot α</u>

Because α is in quadrant IV, then it means that sec α is positive

cot α = 1/tan α

This gives

cot α = 1/(-12/5)

Evaluate

cot α = -5/12

Also, we have:

sec²α = 1 + tan²α

Substitute tan α = -12/5

sec²α = 1 + (-12/5)²

Evaluate the squares

sec²α = 1 + 144/25

Evaluate the sum

sec²α = 169/25

Take the square root of both sides

sec α = 13/5

Hence, cot α = -5/12 and sec α = 13/5

Read more about trigonometry ratios at:

brainly.com/question/11967894

#SPJ1

5 0
2 years ago
How to do linear graph​
Gemiola [76]
A basic linear graph would be y=x+2. Does that help?
3 0
3 years ago
Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 t
Lorico [155]

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Find out more on inequality at: brainly.com/question/241541

6 0
3 years ago
The graph shows the relationship between time
rusak2 [61]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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Write each fraction as an expression using a negative exponent other than -1: 1/1024​
raketka [301]
Answer: 2^-10
Do you need an explanation?
6 0
3 years ago
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