Answer:

Step-by-step explanation:
we know that
If the triangle of the figure is a regular polygon
then
Is an equilateral triangle
Remember that
The equilateral triangle has three equal sides and three equal interior angles
The measure of each interior angle is 60 degrees
To find the area of the equilateral triangle apply the law of sines

we have that

substitute

A decimal number between 0.25 and 0.5 is 0.35
Answer:
(x, g(x)) = {(-2, -2), (0, 0), (2, 2), (4, -3), (6, -3)}
Step-by-step explanation:
The first three values of x in the table are all less than or equal to 2, so the first part of the function definition applies. The y-value is equal to the x-value. The ordered pairs are ...
(-2, -2), (0, 0), (2, 2)
The last two values of x in the table are more than 2, so the last part of the function definition applies. For those values of x, the y-value is -3. The ordered pairs are ...
(4, -3), (6, -3)
Answer:

Step-by-step explanation:
Given

Quadrant III
Required
Determine 
We have:

We know that:

This gives:


Collect like terms

Take LCM and solve


Take the square roots of both sides

Sin is negative in quadrant III. So:

Calculate 

We have: 
So:


Rationalize


So, we have:



Substitute: 

Take LCM
