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Readme [11.4K]
3 years ago
13

What is the value of x in the diagram?

Mathematics
2 answers:
DerKrebs [107]3 years ago
7 0
The answer is 27 (hope this helps you)
Umnica [9.8K]3 years ago
7 0
D?

hopefully its right
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Find the exact value of cos theta​, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.
vova2212 [387]

Answer:

cos \theta = -\frac{8}{17}

Step-by-step explanation:

For this case we know that:

sin \theta = \frac{15}{17}

And we want to find the value for cos \theta, so then we can use the following basic identity:

cos^2 \theta + sin^2 \theta =1

And if we solve for cos \theta we got:

cos^2 \theta = 1- sin^2 \theta

cos \theta =\pm \sqrt{1-sin^2 \theta}

And if we replace the value given we got:

cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

cos \theta = -\frac{8}{17}

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3 years ago
The measure of an angle is 32.9°. What is the measure of its complementary angle?
zubka84 [21]

Answer: 57.1

Step-by-step explanation: To be complementary the angles have to add up to make a sum of 90.

90 - 32.9 = 57.1

The angles are 32.9 and 57.1.

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3 years ago
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artcher [175]

Answer:

The correct answer is C.

Step-by-step explanation:

There are 8 slots on Spinner B.

3 of those slots have squares.

Hence out of all the slots, 3/8 of them have squares.

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You borrow money for 4 years. The total amount that you repay is $7,840, which includes $840 in simple interest. How much was th
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Answer:

  • principal: $7000
  • interest rate: 3%

Step-by-step explanation:

amount repaid = principal + interest

$7840 = principal + $840

$7000 = principal . . . . . . . . subtract $840 from both sides of the equation

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I = Prt

840 = 7000·r·4

840/(4·7000) = r = 0.03 = 3%

The principal was $7000; the interest rate was 3%.

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