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Alex17521 [72]
3 years ago
14

Sin * (x - y) , if sin x = 8/17 cos y = 12/37

Mathematics
1 answer:
abruzzese [7]3 years ago
8 0

Answer:

-429/629

Step-by-step explanation:

Use angle difference formula:

sin(x − y) = sin x cos y − sin y cos x

Assuming x and y are in the first quadrant:

sin(x − y) = sin x cos y − √(1 − cos²y)√(1 − sin²x)

Plugging in values:

sin(x − y) = (8/17) (12/37) − √(1 − (12/37)²)√(1 − (8/17)²)

sin(x − y) = (8/17) (12/37) − (35/37)(15/17)

sin(x − y) = -429/629

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A bank teller has 27 coins in her cash drawer. the coins are quarters and nickels and are worth $2.75. how many quarters does sh
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Quarters (Q): $0.25

Nickels (N): $0.05

Quantity:  Q   +    N   = 27          →   -.05(Q + N = 27)        →   -.05Q  - .05N  = -1.35

Worth:   .25Q + .05N = 2.75      → 1(.25Q + .05N = 2.75)   →   <u>.25Q  + .05N = 2.75</u>

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Answer: 7 quarters                          

3 0
3 years ago
Jenny just went show shopping. Now she has 5 more pairs of shoes than her brother does. Together they have 25 pairs of shoes. Ho
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Hugo is a veterinarian. He knows the following information about his 41 patrons: 20 patrons in total do not have a dog. 17 patro
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Start filling the table with the data you know: 
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cat      |        |              |   17  |
no cat |        |     7       |        | 
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Now you can make easy calculations in order to fill the blanks:
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- the total number of patrons with no cats: (41 - 17) = 24.

Now the table looks like this:
           |  dog   | no dog | total
cat      |           |      13     |   17  |
no cat |           |     7       |  24  | 
<span>total    |   21    |     20     |   41  |

And you can use the new data to complete the table:</span>
- the number of patrons with cats and dogs: (17 - 13) = 4
- the number of patrons with dogs and no cats: (24 - 7) = 17

The final table is in the picture attached. 

3 0
3 years ago
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Make equation to find percent

16/40=x/100

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