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NemiM [27]
3 years ago
8

What is the reference angle for cos 2pie/3

Mathematics
1 answer:
kirill [66]3 years ago
5 0

Answer:

Step-by-step explanation:

If your mind works better in degrees than it does radians, as does mine, it will be beneficial to us to see what degree measure this angle is. Convert it to degrees using the fact that 180° = π:

\frac{2\pi}{3}*\frac{180}{\pi}=120 degrees

Now that we know that, we can plot that angle in a coordinate plane. The terminal side of the angle lands in quadrant 2. To find the reference angle, we subtract 120 from 180 and get that the reference angle is 60 degrees, which is the same as π/3.

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Step-by-step explanation:

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2 years ago
If A is directly proportional to C and B is directly proportional to C, prove that each of the following is directly proportiona
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A+B is correct answer I hope it helps you

7 0
3 years ago
if we just passed a sign which says that harrison is 25 miles away and turkey is 40 miles ahead, how far will we have to go to b
Tatiana [17]

Answer:

<em>You will need to go 7.5 miles to be halfway between Harrison and Turkey</em>

Step-by-step explanation:

If you see a sign saying that Harrison is 25 miles away and that Turkey is 40 miles ahead, then the distance from Harrison to Turkey must be 40 miles - 25 miles = 15 miles.

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You will need to go 7.5 miles to be halfway between Harrison and Turkey

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3 years ago
One hundred rats with mothers that were exposed to high levels of tobacco smoke during pregnancy were put through a simple maze.
Paul [167]

Answer:

The 90% confidence interval for pis (0.7342, 0.8658).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

100 rats mothers, 80 went right. So n = 100, \pi = \frac{80}{100} = 0.8

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.7342

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.8658

The 90% confidence interval for pis (0.7342, 0.8658).

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3 years ago
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IgorC [24]

Answer:

(14,0)

Step-by-step explanation:

slope 10/5 or 2

3 0
3 years ago
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