Parallelogram
draw the coordinates on a graph
To find positive coterminal angle we have to add 360 and to find negative coterminal angle, we have to subtract 360 degree.
a. 150 degree
Positive coterminal angle
Negative coterminal angle
b.-420 degree
Positive coterminal angle
negative coterminal angle
Anwer: draw a square with side length equal to the square root of the area of the rectangle.
Explanation:
The rectangle that has the greatest perimeter given a fixed area is the square.
So, take the square root of the area and draw a square with that side length.
The demostration of that is done using the optimization concept from derivative. If you already studied derivatives you can follow the following demostration.
These are the steps:
1) dimensions of the rectangle:
length: l
width: w
perimeter formula: p = 2l + 2w
area formula: A = lw
2) solve l or w from the area formula: l = A / w
3) write the perimeter as a function of w:
p = 2 (A / w) + 2w
4) find the derivative of the perimeter, dp / dw = p'
p' = - 2A / w^2 + 2
5) The condition for optimization is p' = 0
=> -2A / w^2 + 2 = 0
=> 2A / w^2 = 2
=> w^2 = A
Which means that the dimensions of the rectangle are w*w, i.e. it is a rectangle of side length w = √A
I believe the answer to your question is 10/37.
The total of candies inside the bag was initially 38. Since a blue candy has already been picked and cannot be picked and cannot be replaced then the total number of candy remaining in the bag is 37. So the probability of choosing a red candy is now 10/37