Answer:
a. 
b. 
Step-by-step explanation:
a. Radius of semicircle (r) = r
Diameter of semicircle (d) = 2r
Length of rectangle (l) = 2*diameter of semicircle = 2*2r = 4r
Distance around the track (p) = circumference of circle + 2(l)
Note: the two semicircles of the track = 1 full circle
Circumference of full circle = πd = π*2r = 2πr
Distance around the track:
p = 2πr + 2(4r)
p = 2πr + 8r
b. Rewriting the formula to make radius, r, the subject of the formula in terms of distance around the track.

Factor out r

Divide both sides by (2π + 8)



Answer:
the set of integers
Step-by-step explanation:
1. 3x - 19 = 2
+19 +19
3x = 21
÷3 ÷3
x= 7
2. 4x + 12x = 6² + 4(11)
16x = 36 + 44
16x = 80
÷16 ÷16
x= 5
The value of x is 5.4 ( find the description in the picture)
The area of a circle is PiR^2
Divide 10 by 2, to get the radius.
Square the radius, 5, which gives you 25.
25Pi is your answer, which is C.)