The perimeter = 4 * length of a semicircle of radius 5 == 4* pi * 5 = 20 pi cm
The area of one of the clear parts = 1/2 area of square - area semicircle
= 1/2 * 10^2 - 1/2 pi *5^2 = 50 - 12.5pi
So area of shaded parts = area of square - 4 (50 - 12.5pi)
= 100 - 200 + 100pi = (100pi - 100) cm^2
Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.
Answer:
17/400
Step-by-step explanation:
.0425 = 425/10,000
this can be simplified to be 17/400
Answer:
x=-3
Step-by-step explanation:
If x=-3, then
x³+x²-2x+12=-27+9+6+12=-27+27=0
If this is true, then x+3 is a factor. So:
x³+x²-2x+12/x+3=x²-2x+4
So the factors of x³+x²-2x+12 are:
(x+3)(x²-2x+4)
((x²-2x+4) has no real roots)........