Answer:
7 inches
Step-by-step explanation:
Using Pythagoras' theorem on the right triangle, that is
r² + 11² = 13²
r² + 121 = 169 ( subtract 121 from both sides )
r² = 48 ( take the square root of both sides )
r = 
≈ 7 in ( to the nearest inch )
$20 base fee + ($1.50 per hour × X hours rented) = Y the overall price
20+(1.50×X)=Y
Example:
Let's say the golf cart is rented for 3 hours.
X = 3
$20 base fee + ($1.50 per hour × 3 hours)
20+(1.50×3)
20+4.50= $24.50
So in this example Y=$24.50
Answer:
22
Step-by-step explanation:
Remark
Very nice little problem.
At first you think you need to go through the entire number system from 1 to 500. For example, you could do 12 as 1 2 3 4 6 12 So 12 does not add to the number of integers that have an odd number of factors.
But along the way if you check all the factors of the integers from 1 to 12, you notice something very odd. (No pun intended).
1 only has 1 factor which is odd (not even).
4 has 3 factors 1 2 4 which is odd.
9 has 3 factors 1 3 9 which is odd.
It turns out that there are 22 numbers from 1 to 500 that have an odd number of factors. They are the perfect squares between 1 and 500
Note
The factors of an integer include 1 and the integer itself
As a conclusion, try 36
1 2 3 4 6 9 12 18 36 There's 9 factors which is odd. So only the perfect squares have an odd number of factors.
