1. Use the given circle. Find the length s to the nearest tenth A. 3.1 in. B. 15.7 in. C. 31.4 in. D. 5.0 in2. He draws a tile, replaces it, and draws another tile. What is the probability he will draw a blue tile on both draws?A. 2/35B. 1/9C. 16/225D. 2/21

Question
Answer:
Part 1) Find the length s to the nearest tenth

we know that
[length of a circumference]=2*pi*r
for r=3 in
[length of a circumference]=2*pi*3------> 18.84 in

if 2*pi radians (full circle) has a length of------------> 18.84 in
 (5*pi/3) radians------------------------------> x
x=(5*pi/3)*18.84/(2*pi)--------> x=15.7 in

the answer Part 1) is 
15.7 in

Part 2) What is the probability he will draw a blue tile on both draws?

we have a bag of 5 red tiles, 3 yellow, 4 blue and 3 green
total tiles -----> 15

4 blue out of 15
1st draw is 4/15 
2nd draw is 4/15
(4/15)*(4/15)-----> 16/225

the answer Part 2) is
16/225 
solved
general 4 months ago 8970