1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Well 1 cm = 2ft, so it might be asking the scale?
Answer: p = 120 degrees
Step-by-step explanation:
Figure a shows a pentagon. The sum of interior angles in a pentagon is equal to 540 degrees.
1. Subtract the known numerical angle
540 - 60 = 480
All of the remaining angles (represented by the variable p) are equal to one another. Therefore, we can use the expression 4p = 480 to find the value of p.
2. Evaluate the equation to find the value of p.
4p = 480
p = 120
