First we need to see in which quadrant 11pi/6 lies And it lies in fourth quadrant. And to find the reference angle in the fourth quadrant, we need to subtract the given angle from 2 pi . For e.g if the angle is 5pi/3, then the reference angle is 2pi - (5pi/3) = pi/3 .
So for the given question, reference angle of 11pi/6 is

And that's the required reference angle .
Answer:
1,3,9,27
Step-by-step explanation:
Answer:10
Step-by-step explanation:
2+4+6+6+9+13+30=70
70 divided by 7= the mean should be 10
Let us suppose the number is x. Now we try to make an algebraic expression going step by step.
Step 1:
Five times the number means 5 multiplied by x.
So it becomes 5x.
Step 2:
Sum of 14 and five times the number means 5x+14.
Step 3:
Number multiplied by -8 means -8x.
Step 4:
Subtract the expression in step (3) from expression in step (2)
5x+14-(-8x)
Now we can simplify it further,
5x+14+8x
Combining like terms,
13x+14
Answer: The final expression becomes 13x+14.
Answer:
1. A number decreased by seven.
2. A number increased by nine.
3. The product of six and a number, divided by eight.
4. The product of three and a number increased by five is equal to twenty.
5. The product of two and a number increased by eight is equal to twenty-three.
Step-by-step explanation:
1. x-7
A number decreased by seven.
2. y+9
A number increased by nine.
3. 6m/8
The product of six and a number, divided by eight.
4. 3y+5 =20
The product of three and a number increased by five is equal to twenty.
5. 2(x+8)= 23
The product of two and a number increased by eight is equal to twenty-three.