Answer:
15 pi
Step-by-step explanation:
The circumference of the circle is given by
C = pi * d
C = pi *18
We are subtracting part of the circumference that covers 60 degrees
The entire circle is 360 degrees
60/360 = 1/6
We are subtracting 1/6 of the circumference
1/6 *18pi = 3pi
We have 18pi and subtract 3pi = 15pi
The dark shaded arc is 15pi
Function transformation involves changing the form of a function.
The parent absolute value function is:

If the parent function is shifted up by 1 unit, then the equation of the function would be

If the parent function is shifted right by 1 unit, then the equation of the function would be

If the above functions are stretched horizontally by a factor of 1/3, then the new functions would be


Read more about function transformation at:
brainly.com/question/1548871
A square has 4 equal sides
So simply divide the perimeter by 4 sides to find the length.
64 ÷ 4 = 16
The length of each side of the square is 16 units.
Answer:
see explaination
Step-by-step explanation:
Let x cakes & y losf of bread that Marie decides to make,
Now the constraints are:
3x + 8y <= 20
45x + 30y <= 180 or 3x + 2y <= 12
x >= 0
and y >= 0
THe PTA's revenue function that needs to be maximixed is :
Z(x,y) = 10x + 6y
see attachment