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!
Well it would be 200 × 8 which would equal to 1600
Answer:
The distance from A to B is 736.2 to the nearest tenth foot
Step-by-step explanation:
In ΔCAB
∵ m∠CAD = 30° ⇒ exterior angle of Δ at vertex A
∴ m∠CAD = m∠ACB + m∠ABC
∵ m∠ABC = 20°
∴ m∠ACB = 30° - 20° = 10°
We will use the sin rule to find the distance AB
∵ 
∴ 
≅ 736.2 to the nearest tenth foot
Answer:
Step-by-step explanation:
911
<u>x65</u>
5x1=5
5x10=50
5x900=4500
60x1=60
60x10=600
60x900=54000
5+50+4500+60+600+54000=59,215
Answer: Okay so you will first come over and take out the a and b and then that will become c and then you add the rest of the numbr up equaling to
7
Step-by-step explanation: why because 7 is the answer and i know it for all of them your teacher tricked you so you would get a diffrent answer just put 7 trust
plz repay and do mine
