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gayaneshka [121]
4 years ago
8

Find the indicated variables

Mathematics
1 answer:
juin [17]4 years ago
8 0
A-60
B-19
C-101
D-79
E-50
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Pi/6 is the reference angle for:<br><br> 3pi/6<br><br> 5pi/6<br><br> 13pi/6<br><br> 8pi/6
Elanso [62]

Answer:

\frac{5\pi}{6}, \frac{13\pi}{6}

Step by step

Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.

a)

\frac{3\pi}{6}=90^\circ, then its reference angle is \frac{\pi}{2}

b)

\frac{5\pi}{6}=150^ \circ is in the second cuadrant, then its reference angle is 180^ \circ -150^{\circ}=30^{\circ}=\frac{\pi}{6}

c)

\frac{13\pi}{6}=390^\circ=360^\circ+30^\circ, then it is in the first cuadrant and the reference angle is 30^\circ =\frac{\pi}{6}.

d)

\frac{8\pi}{6}=240^\circ and it is in the third cuadrant, then its reference angle is 240^\circ -180^\circ=60^\circ=\frac{\pi}{3}

5 0
3 years ago
What is the range of the function y = x 2?
garik1379 [7]

Answer:

The range of the function y = x2 is all real numbers, y, such that y ≥ 0. In the case of the function y = x2, the domain consists of all real numbers, because there is no number that, when plugged in for x into x2, would create an undefined expression.

Step-by-step explanation:

7 0
3 years ago
WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASYIdentify the equation that does not belong with the other thr
BlackZzzverrR [31]

Answer:

C. x + 9 = 11

Step-by-step explanation:

We are trying to identify which of the equations does not match with the others. In this case, solve for x in each equation:

Option A):

6 + x = 9

Subtract 6 from both sides:

6 (-6) + x = 9 (-6)

x = 9 - 6

x = 3

Option B):

15 = x + 12

Subtract 12 from both sides:

15 (-12) = x + 12 (-12)

15 - 12 =  x

x = 3

Option C):

x + 9 = 11

Subtract 9 from both sides:

x + 9 (-9) = 11 (-9)

x = 11 - 9

x = 2

Option D):

7 + x = 10

Subtract 7 from both sides:

x + 7 (-7) = 10 (-7)

x = 10 - 7

x = 3

---------------------------------------------------------------------------------------------------------

As you can tell, all the equations end with x = 3 as there answers except C. x+9=11, making (C) your answer.

~

3 0
3 years ago
If it costs $100,000 to put on an event for four weeks (28 consecutive nights), how much revenue per night is needed to
Arada [10]
100000+200000=300000
28x=300000
X=10714
They would need to make $10714 a night
8 0
3 years ago
Could someone please tell me or explain how to solve these types of equations?? you don’t have to do these problems specifically
Lunna [17]
Okay so you know a straight line is equal to 180 degrees, so you set them up in an algebraic equation. (5x+2)+48=180 subtract 48 first to get 5x+2=132 Subtract the 2 this time to get 130. Now you end up with 5x=130. Here you divide 130 by 5 to get X=26. If you just need to find the degree of that angle tho you can stop after the first subtraction because the math tells you (5x+2)=132 degrees.
8 0
3 years ago
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