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 answer is $1219
Interest = Total amount * interest rate * time (
I=prt is the formula for calculating interest)
In this case,
Total amount = $1200
Interest rate= $ 0.19
Time span for which interest rate is being calculated= 1/12
(since the rate is yearly and we are calculating interest for a month)
Interest = 1200*0.19*1/12 = 19
So the total amount owned by family at the end of one month
= original amount + interest = $1200 +
$19 = $1219
the answer is the first one A
Answer:b
Step-by-step explanation:
We know that
1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
<span>A ramp measures------------------> 6 ft long
</span>
<span>applying the Pythagorean theorem
</span>c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall
a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft
the answer is
5.92 ft
