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xeze [42]
3 years ago
8

If cos ⁡θ=−8/17, and 180°θ<270°, what is sin θ?

Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

Answer:

-15/17

Step-by-step explanation:

One method is to use Pythagorean identity.

sin² θ + cos² θ = 1

sin² θ + (-8/17)² = 1

sin² θ + 64/289 = 1

sin² θ = 225/289

sin θ = ±15/17

Since θ is in the third quadrant, sin θ < 0.  So sin θ= -15/17.

Another method is to draw a triangle in the third quadrant, with angle θ, adjacent side -8, and hypotenuse 17.  Use Pythagorean theorem to find the opposite side:

c² = a² + b²

17² = (-8)² + b²

b = -15

Therefore, sin θ = -15/17

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Vedmedyk [2.9K]

Answer

the number of  donuts sold is: 693

Step-by-step explanation:

i get this answer by taking:

231 x 3 = and that equal 693. this is the number  of donuts sold.

5 0
3 years ago
Solve the system of equations using substitution or elimination:<br> x = 3y + 6<br> 2x - 4y = 8
dem82 [27]

Answer:

x=0, y=-2

Step-by-step explanation:

Let x=3y+6 be equation 1

and 2x-4y=8 be equation 2

sub equation 1 into equation2,

2(3y+6)-4y=8

6y+12-4y=8

2y=-4

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5 0
3 years ago
Ali agrees to meet a friend at a restaurant at 1 15pm. It will take Ali 25 minutes to reach the restaurant. Ali wants to arrive
Anna71 [15]
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5 0
3 years ago
Which is most likely the correlation coefficient for the<br> set of data shown?
beks73 [17]

Answer:

Step-by-step explanation:

It would -.21. Negative because the trend of the line sort of resembles a line with a negative slope, and .21 because the dat points do not even remotely resemble a line. The closer that number is to 1, the closer the dots will be to fitting on the line.

7 0
2 years ago
the mean value of land and buildings per acre from a sample of farms is $1400 with a standard deviation of $300 the data set has
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Using the Empirical Rule, it is found that 49 farms in the sample have land and building values per acre between $1100 and $1700.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
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Considering the given mean and standard deviation, values between $1100 and $1700 are within 1 standard deviation of the mean, which is a percentage of 68%.

Hence, the number of farms out of 72 is:

0.68 x 72 = 49 farms.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ1

7 0
1 year ago
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