10 x 10 x 10, I believe this is the form you mean.
Short answer: 3240 handshakes.
Remark
If you watch hockey, you've actually seen this happen. After the game, the winning team will stay on the ice usually on center ice. As you look at them, the man on your right will go down the line and rough up or shake hands or say something to each of his teammates on the line. Then he goes into the dressing room. So he has talked to n - 1 people. The next person going down the line will talk to n - 2 people. and so on all the way down the line.
Formula
Sum = (n + 1)*n/2 is what the formula is.
Givens
n = 80
Sub and Solve
Sum = (80 + 1)*80 / 2
Sum = 81 * 40
Sum = 3240 handshakes.<<<<< Answer
The Angles are adjacent and since they are both on a straight line it means that the sum of the angle is 180 degrees, so we get the equations:
So x = 26.
Hope that helps!
Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Answer:
45
Step-by-step explanation:
