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tankabanditka [31]
3 years ago
11

What is the reference angle for 7pi/6​

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

Answer:

\frac{\pi }{6}

Step-by-step explanation:

\frac{7\pi }{6} is in the third quadrant

To find the reference angle subtract π from it, that is

reference angle = \frac{7\pi }{6} - π = \frac{\pi }{6}

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find four solutions for the following linear equations your answer must include at least two positive numbers for X and at least
sattari [20]

9514 1404 393

Answer:

  (-18, 14), (-9, 9), (9, -1), (18, -6)

Step-by-step explanation:

Since there is a 9 in the denominator of the coefficient of x, we will get integer solutions only if x is a multiple of 9. Suitable values meeting the problem requirements are x ∈ {-18, -9, 9, 18}. Then the corresponding values of y are ...

  y = -5/9(-18) +4 = 10 +4 = 14

  y = -5/9(-9) +4 = 5 +4 = 9

  y = -5/9(9) +4 = -5 +4 = -1

  y = -5/9(18) +4 = -10 +4 = -6

The four solutions we have found are ...

  (-18, 14), (-9, 9), (9, -1), (18, -6)

4 0
3 years ago
Can someone help with this please
qwelly [4]
B

= 6m^4n^6


c

2/x^-4
= 2x^4

e
3^4 w^-8
= 81 w^-8
= 81/w^8

f
m^-3
= 1/m^3




6 0
3 years ago
The following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear
VladimirAG [237]

Answer:

Mean =25.78

Median =20

Step-by-step explanation:

given that the following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list.

40, 30, 6, 10, 30, 18, 15, 20, 36

Let us find the sum of these 9 entries

Sum = 205

a) Mean = \frac{205}{9} =22.78

b) Median of this data set is the middle entry after arranging in ascending order

Here it would be the 5th entry

6,10, 15, 18,20, 30, 30, 36, 40

Median = 20

6 0
3 years ago
If the discriminant of a quadratic equation is equal to -8 , which statement describes the roots?
GaryK [48]

Answer: There are no real number roots (the two roots are complex or imaginary)

The discriminant D = b^2 - 4ac tells us the nature of the roots for any quadratic in the form ax^2+bx+c = 0

There are three cases

  • If D < 0, then there are no real number roots and the roots are complex numbers.
  • If D = 0, then we have one real number root. The root is repeated twice so it's considered a double root. This root is rational if a,b,c are rational.
  • If D > 0, then we get two different real number roots. Each root is rational if D is a perfect square and a,b,c are rational.
3 0
3 years ago
The length of the side of a regular octagon is 2.5y - 3 units. The perimeter of the octagon is _
lidiya [134]

Answer:

Step-by-step explanation:

1 side = 2.5y - 3

8 sides = 8(2.5y - 3)

8 sides = 20y - 24

Perimeter = 20y - 24

8 0
3 years ago
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