A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tray's surface is not covered by the cloth?

the fraction of surface that is not covered is 11/36

Step-by-step explanation:

To do this we first have to calculate the two surfaces

s = π * r^2

π = 3.14

r = d/2

d1 = 20

d2 = 24

r1 = 20/2

r1 = 10

r2 = 24/2

r2 = 12

s1 = π * r1^2

s1 = 3.14 * 10^2

s1 = 3.14 * 100

s1 = 314

s2 = π * r2^2

s2 = 3.14 * 12^2

s2 = 3.14 * 144

s2 = 452.16

to know the part that is not covered we simply do the s1 over the s2 and we subtract that from 1

s1 / s2 =

314 / 452.16 =

25/36

1 we subtract this

1 - 25/36 = 11/36

the fraction of surface that is not covered is 11/36

what is

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages