Rope of 30ft arranged in shape of a sector of a circle with central angle theta radians, what is the area of the sector, a, as the function of theta.

The area is about 90 or so, i'm assuming...

..Good luck, I hope for the best for you

Step-by-step explanation:

30 = r+r+rt = r(2+t)  

r = 30/(t+2)  

Arc length = 30t/(t+2)  

A = Area = (1/2)*Arc*radius  

A = (1/2)*30t/(t+2)*30/(t+2)  

A = 90t/(t+2)/(t+2) = 90t/(t+2)^2  

A(t) = 90t/(t+2)^2

the answer would be d

straight away you can eliminate a and c because not all books contain a scientific skill because some may be fiction. c is also wrong because it saids that the only way children can learn is through books which is incorrect.

b is also wrong because reading can be a scientific skill but not always, therefore it is wrong which leaves you with d, the correct answer since it said that it can children learn.

hope this ! : 3

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