Answer:
The no. of possible handshakes takes place are 45.
Step-by-step explanation:
Given : There are 10 people in the party .
To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?
Solution:
We are given that there are 10 people in the party
No. of people involved in one handshake = 2
To find the no. of possible handshakes between 10 people we will use combination over here
Formula : 
n = 10
r= 2
Substitute the values in the formula
No. of possible handshakes are 45
Hence The no. of possible handshakes takes place are 45.
The inverse of the function is 
Explanation:
To find the inverse of the equation 
, we need to interchange the variables x and y for the variables y and x.
Thus, the equation becomes
Now, we shall find the value of y.
Now, adding 8 to both sides of the equation, we have,
Interchanging the sides,
Dividing by 2 on both sides,
Taking square root on both sides,
Thus, the inverse of the function is
Answer:
Volume= 2.92cubic yard
Step-by-step explanation:
Converting to ft
23ft9inches= 23+(9/12)=23.75ft
10ft 1 in= 10 +(1/12)= 10.083ft
4 inches= (4/12)=0.333ft
Volume= L×W×H
Volume= 23.75 × 10.083×0.33= 79.02ft^3
Converting to cubic yard
1 cubic foot= 0.037 cubic yard
79.02 cubic feet= 0.037× 79.02= 2.92cubic yard
Divide 4 by 6. Easier if you write it as a fraction: 4/6 This can be reduced to 2/3. This means that each person gets 2/3 of a pie equally.
