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Alexxandr [17]
2 years ago
9

13 6

Mathematics
1 answer:
valina [46]2 years ago
4 0

Answer: 4. 3. 9. = 2. 1. 10. = 3. 1. 11. = 10. 8. 12. = 3. 2. Rename each percent as a decimal: 13. 8% = 14. 60% = 15. 11% = 16. 12% = 17. 40% = 18. 95% = 6.

Step-by-step explanation: Good luck!

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PLEASE HELP ME If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z? z = 3 z = 4 z = 5 z = 6
Burka [1]

Answer:

  z = 6

Step-by-step explanation:

We know that ...

  sin(x) = cos(90 -x)

Substituting (9z-1) for x, this is ...

  sin(9z -1) = cos(90 -(9z -1))

But we also are given ...

  sin(9z -1) = cos(6z +1)

Equating the arguments of the cosine function, we have ...

  90 -(9z -1) = 6z +1

  90 = 15z . . . . . . . . . add (9z-1) to both sides

  6 = z . . . . . . . . . . . . divide by 15

_____

<em>Comment on the graph</em>

The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...

  sin(x) = cos(90 +360k -x)  . . . . .  for any integer k

Then the above equation becomes ...

  90 +360k = 15z

  6 +24k = z . . . . . . . . . for any integer k

The sine and cosine functions also enjoy the relation ...

  sin(x) = cos(x -90)

  sin(9z -1) = cos(9z -1 -90) = cos(6z +1)

  3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z

  z = 30 2/3

6 0
3 years ago
Ratios, decimals, simplest form
Aleks04 [339]
101 to 263, 101 / 263,
8 0
3 years ago
What is the slope of y = 5x?
9966 [12]

Answer:

The slope of the line is -5

4 0
2 years ago
Read 2 more answers
Francis earns $3.50 an hour mowing lawns. He also gets a $10.00 a week allowance. Bella earns $5.25 an hour babysitting and spen
Alika [10]
3.5h+10=5.25h-11
21=1.75h
12=h

3.5(12)+10=5.25(12)-11
52=52
8 0
3 years ago
Find the quotient of <br><br> -85^2-27n+76 / -17n-19
bagirrra123 [75]
<u><em>Answer:</em></u>
5n-4

<u><em>Explanation:</em></u>
<u>The given expression is:</u>
\frac{-85n^2-27n+76}{-17n-19}

<u>1- Take the negative as a common factor from both the numerator and the denominator. This will give us:</u>
\frac{-(85n^2+27n-76)}{-(17n+19)}

<u>2- Cancel out the negative sign (common factor) from the numerator and denominator. This will give us:</u>
\frac{(85n^2+27n-76)}{(17n+19)}

<u>3- Factor the numerator. This wil give:</u>
\frac{(5n-4)(17n+19)}{(17n+19)}

<u>4- Finally, cancel out the (17n+19) which common in both numerator and denominator. This will give us the final expression:</u>
5n-4

Hope this helps :)
6 0
2 years ago
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