2.4 in^2 is the area of the triangles and the angle of the rectangle is 7.48 in^2 so the total area is 7.88 in^2
So 12=total
7=blue
black=total-blue=12-7=5
black=5
1. 2/3 of 12 were taken out or 24/3 were taken out or 8 marbles were taken out
there is not enough info becasue it doesn't specify which ones were taken out
2. there is not enough info
3. not chosen=total-chosen=12-8=4 so 4 were chosen
The equation of a circle with centre (a,b) and radius r is:
(x - a)^2 + (y - b)^2 = r^2
thus,
here centre (a,b) = (-3,6), a = -3, b = 6
and radius = diameter/2 = 20/2 =10 units
therefore, the equation is
(x + 3)^2 + (y - 6)^2 = 100
which is c.
Answer:
radius = 10 units
Step-by-step explanation:
using the Pythagorean theorem:
height of triangle = 6 units
base of triangle = 16/2 = 8 units
radius² = 6² + 8² = 36 + 64 = 100
radius = √100 = 10 units