Answer:
B. 530.66 in.
Step-by-step explanation:
The formula to find circumference is 
. The radius here is 13. 13 squared is 169. 169 x 3.14 is 530.66.
Hope it helps!
Answer:
a) 63°
b) 127°
Step-by-step explanation:
Complements are 90° while supplements are 180°.
So you need to find the complement of 27°. So, 90-27=63
To find the supplement, it is 180-53=127
There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
