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Nataly [62]
2 years ago
5

What is sin -1(1/2) if the terminal side of 0 is located in quadrant 1.

Mathematics
1 answer:
kotykmax [81]2 years ago
4 0

Answer:

30

Step-by-step explanation:

\sin^{-1}(\theta) is going to output a number in between \frac{-\pi}{2} and \frac{\pi}{2}.

Luckily you are looking for \theta in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering \sin^{-1}(\frac{1}{2}) in your calculator.

You may also use the unit circle.  sine value refers to the y-coordinate on there.

So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.

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What is the solution to this system of equations, and what does it mean to the contractor? The solution (0, 20) tells the contra
oksano4ka [1.4K]

The question is incomplete. Here is the complete question:

A contractor has two choices for billing a completed job.

· $500 flat rate, regardless of the number of hours worked

· $20 per hour worked

The graph shows the relationship between pay per hour and number of hours worked for both scenarios.

What is the solution to this system of equations, and what does it mean to the contractor?

A.The solution (0, 20) tells the contractor the minimum amount that can be charged.

B.The solution (0, 500) tells the contractor the maximum amount that can be charged.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Answer:

The graph is attached below.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.

The hourly rate is given as $20.

The solution to the given lines drawn on the graph is the point of intersection of the two curves.

As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.

So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.

Hence, the correct option is (C).

3 0
2 years ago
Read 2 more answers
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8_murik_8 [283]
3 : 3 times 6 is 18, 2 times 9 is 18 and 3 times 3 is 9 plus 9 is 18
4 0
3 years ago
Simplify the following expressions by using the order of operations
MariettaO [177]
11. 6 + 5 * 2 + (-3)
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      16 - 3
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12. 67 + 84 - 12 * 4 / 16
      67 + 84 - 48/16
      67 + 84 - 3
      148 <==

13. -5 * -6 - 25/5 - 2
      30 - 5 - 2
       23 <==

14. 18 - (9 + 3) + 2^3
       18 - 12 + 8
        14 <==

15. -24 / -6 * 2
       4 * 2
       8 <==

16. 8 [ (26 + 10) - 4(3 + 2)]
      8 [ (36 - 4(5)]
      8 [ 36 - 20 ]
      8 [ 16 ]
        128 <==

17. 6 * 3 / 9 * 2 + 1
       18/9 * 2 + 1
        2 * 2 + 1
        4 + 1
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18. (9 - -4)(-8 - -7)
      (9 + 4)(-8 + 7)
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5 0
3 years ago
12) Find the value of x.
bixtya [17]
I’m sorry if I’m wrong but the equation be 3x+6=2x and if you solve that, x=6.

Explanation: 3x+6=2x
-3x. -3x
6=x
7 0
3 years ago
To convert 5.25 minutes to seconds, you would use the ratio =
vivado [14]

Answer:

A. True

Step-by-step explanation:

To convert 5.25 minutes to seconds, you would use the ratio =  seconds, you would use the ratio 1 second  60 minutes.

7 0
3 years ago
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