Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:

From equation 1:

Putting the value of y in equation 2

Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation

Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.
You take the square roots √18²+32² = 36.7
Hope this helps.
Answer:
see explanation
Step-by-step explanation:
the arc length of a circle is calculated as
arc = circumference of circle × fraction of circle
(5)
circumference (C) is calculated as
C = 2πr ( r is the radius )
here diameter = 12 , then r = 12 ÷ 2 = 6
C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )
(6)
JK = 2πr × 
= 2π × 7 × 
= 14π × 
=
≈ 9.2 in ( to the nearest tenth )
(7)
7.5 = 2πr ×
7.5 = 2πr ×
( multiply both sides by 3 to clear the fraction )
22.5 = 2πr ( divide both sides by 2π )
r =
≈ 3.6 ft
Answer:
61
Step-by-step explanation: