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prohojiy [21]
2 years ago
9

If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P

, then
Mathematics
1 answer:
Ghella [55]2 years ago
8 0

Answer:

x^2 + y^2 = r^2

Step-by-step explanation:

See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.

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Jamie recently started working as
Mumz [18]

Answer:

B

Step-by-step explanation:

From annual salary of 42,600, we have to subtract the following percentages:

<u>Social Security:</u>

0.062 * 42,600 = 2641.2

<u>Medicare:</u>

0.014 * 42,600 = 596.4

<u>State Income Tax:</u>

0.03 * 42,600 = 1278

<u>Federal Income Tax:</u>

0.13 * 42,600 = 5538

<u>Total Deductions</u> (from percentages) = 2641.2 + 596.4 + 1278 + 5538 = 10053.6

Now, remaining salary:

42,600 - 10053.6 = 32546.4 (annual)

Divided by 12 to get monthly:

32546.4 / 12 = 2712.2 (monthly)

Now, monthly deductions are:

260 + 280 = 540

<u>Net Salary:</u> 2712.2 -  540 =2172.2

5 0
3 years ago
Find the area of a regular octagon with side length 4 cm.
Degger [83]
A = side^2 * (2 + 2sqrt2))
A = 4^2 * (2 + 2sqrt2))
A = 77.25 cm^2
4 0
3 years ago
Solve the equation for x. 8(2x − 6) = 96
Andrej [43]
Divide both sides by the numeric factor on the left side then solve x=9
6 0
3 years ago
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If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was sp
Vanyuwa [196]

Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.

  • $x, in billions, was spent on advertising expenditures on television last year.
  • This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.

This year spending's is of 141.7 billion, hence, the equation is:

0.959x = 141.7

x = \frac{141.7}{0.959}

x = 147.8

$147.8 billion was spent on television advertising in the previous year.

To learn more about proportions, you can take a look at brainly.com/question/24372153

4 0
3 years ago
4(n+2+2n+5+n+6)=-32 How do you show the problem?
yarga [219]

Answer:

n = -21/4 <em>or </em>-5.25

Step-by-step explanation:

4 0
3 years ago
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