Let the length of the diameter be d and radius be r, thus to solve for d we proceed as follows:
r²+31²=(r+15)²
solving for d we solve for r
r²+961=r²+30r+225
putting like terms together we obtain:
r²-r²+961-225=30r
736=30r
solving for r
r=24.53
thus
d=24.5333×2
d=49.067~49.1
Answer is D. 49.1
Answer:
The probability that each player will receive three picture cards = 0.0324
Step-by-step explanation:
As given,
A deck of 52 cards contains 12 picture cards
Remaining card = 52 - 12 = 40
So,
Total number of ways in which 12 picture card is distributed = 
Now,
The Total number of ways in which Remaining cards are distributed = 
So,
Total number of ways of getting 3 picture card and remaining card =
×
= 
Now,
Total number of ways to distribute 52 cards so that each people get 13 card = 
∴ The probability = 
=
×
=
×
=
×
=
×
= 0.0324
∴ we get
The probability that each player will receive three picture cards = 0.0324