Answer:

Step-by-step explanation:
Rationalize the denominator first (keep in mind we are NOT solving this because there is no equals sign here. We are merely simplifying.)

Now simplify by taking the square root of 100 to get:

Divide numerator and denomiator by 10 to get:

Answer:
Option A.
Step-by-step explanation:
Graph of function has been given in the figure.
Coordinates of the points lying on this graph will be
x -2 -1 0 1 2
y -10 -3 -2 -1 6
Therefore, coordinates of the points which will lie on the inverse of this function will be
x -10 -3 -2 -1 6
y -2 -1 0 1 2
Therefore, Option A. will be the answer.
Answer:
π\6
Step-by-step explanation:
The reference angle is the smallest angle measured from the terminal side of the angle (where the angle ends) to the x axis. The reference angle is an acute angle (i.e less than 90° or π/2)
For O = 11π/6 = 1.833π
1.833π is in the fourth quadrant between 3π/2 radians and 2π radians. Since it is in the fourth quadrant, the reference angle is given as:
reference angle = 2π - 11π/6 = π\6
If we know that 30% of the time is used after 9 minutes we can write this mathematically as:

By solving for x we can determine the total time allowed to play games and so:

The total time allowed to play games is 30 minutes. Since 9 minutes have lapsed 30-9=21 minutes left to play.