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.
Answer:2.5×10^-5. (And i think u meant in Scientific Notation)
Step-by-step explanation//Give thanks(and or Brainliest) if helpful (≧▽≦)//
Answer:
B (5 sqrt10)
Step-by-step explanation:
If the hypotenuse is 17, and a leg is 8, that makes the other leg equal to sqrt((17^2)-(8^2)) = sqrt(289-64) = sqrt(225) = 15.
Because you subtract 3 from the leg with length 8, that makes the smaller triangles leg 5. That makes the hypotenuse sqrt(5^2 + 15^2) = 5sqrt10
I'm guessing you typoed for B and meant 5sqrt10, so the answer is B
