Step-by-step explanation:
sec(x) = 1/cos(x)
cot(x) = cos(x)/sin(x)
sec is smaller than cot, if cos is negative (making sec negative) and sin is negative (making cot positive).
and that is true for the third quadrant.
which is pi < x < 3×pi/2
so, the third answer is right.
The measure of exterior all angles of a regular n-agon is 180
now for the decagon which has 10 angles is 180/10=18
Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?
Answer:
Step-by-step explanation:
Given:
Sam divided a rectangle into 8 congruent rectangles that each have an area of 
We need to find the area of the rectangle before Sam divided it.
The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.
Area of the rectangle =
Area of the congruent rectangle is 
So the area of the rectangle is
Area of the rectangle =
Area of the rectangle =
Therefore the area of the rectangle before divided is