Answer:

Step-by-step explanation:
Given
Represent point A as thus;

Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

Then, y is negated to give A'

Answer:
Option C 
Step-by-step explanation:
we know that
The area of a circle is equal to

we have

substitute

Remember that
degrees subtends the complete area of the circle
so
by proportion
Find the area of the blue sector for an angle of
degrees


Answer:

Step-by-step explanation:
Given


Required
The area
This is calculated as:


Open brackst


Open bracket

It's 96%
816/850 = 0.96, which is 96%
Hope I helped! ( Smiles )
First, we start with the equation that the problem told us, which is:
R + 6 = 2 * (x + 6)
Then, we distribute the two:
R + 6 = 2x + 12
Now, we put R on its own side.
R = 2x +6
So, the answer must be C, 2x + 6