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ycow [4]
2 years ago
9

Find the reference angle for 12pi/5

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
8 0

Answer:

72°

Step-by-step explanation:

To convert from degrees to radians, multiply the degrees by \frac{\pi }{180}.

To convert from radians to degrees, multiply the radians by \frac{180}{\pi }.

Right now you're in radians, so multiply it by \frac{180}{\pi }.

\frac{12\pi }{5}* \frac{180}{\pi }=432°.

Now we need to find the reference angle for 432°.

If you draw 432° starting from the right and going clockwise (because it is a positive angle, if it was negative you would go counterclockwise), it will make one full rotation, which is 360°, and you will end up in the 1st quadrant, 72° past 360°.

Depending on the quadrant you land in, there might be different operations to perform. Please check the attached image.

In this case, we're in the 1st quadrant so we can leave the angle as is.

The answer is 72°.

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In order to determine Velocity, we need to know.. *
Gennadij [26K]

Answer:

All of the above.

Step-by-step explanation:

The way to calculate velocity is d/t, the displacement over time of travel. Hence, both of those are needed.

Finally, velocity also needs to know your direction, like 5 m/s East for example. Hence, all of the above are needed.

Hope this helped!

7 0
2 years ago
Help please and simplify answer in radical form if needed
deff fn [24]

Answer:

16\sqrt{3}\:\mathrm{units^2}

Step-by-step explanation:

The area of an equilateral triangle with side length s is equal to \frac{\sqrt{3}}{4}s^2. Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is 24\div 3=8 units.

Substituting in this value, we get:

\frac{\sqrt{3}}{4}8^2=\frac{64\sqrt{3}}{4}=\boxed{16\sqrt{3}}

6 0
3 years ago
An athlete runs around a circular track. The track has a diameter of 200 feet. How many laps does she need to take to run a mile
Shtirlitz [24]
First you have to figure out the length of the track:

2 * \pi * r

r is the half of the diameter:
200ft : 2 = 100ft

2* \pi *100ft = 200\pi≈ 628,31

The athlete has to run ca. 5280ft for one mile:

5280 : 628,31≈8,4

The athlete has to run 8,4 laps
3 0
3 years ago
If x^2 + 1/x^2 = 7 , find the value of x^3 + 1/x^3 and x^4 + 1/x^4
Maksim231197 [3]

Answer:

pls show me the question

7 0
2 years ago
Help please! I don't get this.​
slava [35]
Try using a photo scanner
8 0
3 years ago
Read 2 more answers
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