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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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I need help thank you
Alenkasestr [34]
Hello again! 
So just like in the last problem you would do the same here.
Solve for 3y + 6 = 3
Subtract 6 from both sides.
3y = -3
Divide by 3.
y = -1
Now plug it into 8y + 2.
8(-1) + 2 = ?
-8 + 2 = ?
= -6
I hope this helps love! :)
5 0
3 years ago
HELP ASAP PLZ &THANK YOU :)
Andre45 [30]

The standard form:

Ax+By=C

The slope-intercept form:

y=mx+b

m - slope

m=\dfrac{y_2-y_1}{x_2-x_1}

b - y-intercept (0, b).

We have the point (0, 43) → b= 43.

Next point (2, 55). Substitute to the slope formula:

m=\dfrac{55-43}{2-0}=\dfrac{12}{2}=6

Therefore we have:

y=6x+43      <em>subtract 6x from both sides</em>

\boxed{-6x+y=43}


8 0
3 years ago
Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power
zysi [14]

Answer:

a

 z-score = 1.57

b

 z-score_s = -3.36

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  103  

    The  sample mean of  sag is  \= x_1 =  353

     The sample mean of swells is  \= x_2 =  184

    The standard deviation of  sag is  s_1  =  30

     The standard deviation of swells is  s_2  =  25

     The number of swell for a randomly selected transformer is  k  =  100

      The number of sag for a randomly selected transformer is  c  =  400

Generally the z-score for the number of swells is mathematically represented as

     z-score_s = \frac{ k - \= x_2}{s_2}

=>   z-score_s = \frac{ 100- 184}{25}

=>     z-score_s = -3.36

       

Generally the z-score for the number of sags is mathematically represented as    

      z-score = \frac{ c - \= x_1}{s_1}

     z-score = \frac{ 400 - 353}{30}

     z-score = 1.57

4 0
3 years ago
What is arcsin(cos3/5)<br><br> Giving brainliest please help
quester [9]

Answer:

(cos(3°) / 5) = 0.201078184 radians

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
1. 12 more than_____
quester [9]

Answer:

11 through 0

Step-by-step explanation:

3 0
2 years ago
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