2x-3y = -2 --------> (1)
4x + y = 24 -------> (2)
multiply equation number (1) by -2
-4x + 6y = +4
remove the x value from both equation (1) and (2) because its the same number and different sign
6y + y = 4 + 24
7y = 28
divide both by 7
y = 4
now putting y=4 in two equations
2x - 3y = -2
2x-3(4) = -2
2x-12 = -2
2x = -2 + 12
2x = 10
x = 5
or
4x + y = 24
4x + 4 = 24
4x = 24-4
4x = 20
x = 5
so its (5,4)
Each movie ticket costs $7.50
The answer is approx 15.73
Answer:
Rational number
Step-by-step explanation:
Answer:
41.24 cm²
Step-by-step explanation:
Here is the complete question: A 3 cm by 3 cm rectangle sits inside a circle with radius of 4 cm. What is the area of the shaded region?
Given: measurement of rectangle is ![3\ cm\times 3\ cm](https://tex.z-dn.net/?f=3%5C%20cm%5Ctimes%203%5C%20cm)
Radius of circle is 4 cm.
We can find the area of shaded region by subtracting area of rectangle from area of circle.
First, lets find the area of rectangle
Formula; Area of rectangle= ![length\times width](https://tex.z-dn.net/?f=length%5Ctimes%20width)
Area of rectangle= ![3\ cm\times 3\ cm= 9\ cm^{2}](https://tex.z-dn.net/?f=3%5C%20cm%5Ctimes%203%5C%20cm%3D%209%5C%20cm%5E%7B2%7D)
∴ Area of rectangle= 9 cm²
Now, finding the area of circle.
Formula: Area of circle=
(∵ r is radius)
Area of circle= ![3.14\times 4^{2} = 3.14\times 16](https://tex.z-dn.net/?f=3.14%5Ctimes%204%5E%7B2%7D%20%3D%203.14%5Ctimes%2016)
∴ Area of circle= 50.24 cm²
Next solving to find area of shaded region.
Area of shared region= ![\textrm{Area of the circle} - \textrm{Area of the rectangle}](https://tex.z-dn.net/?f=%5Ctextrm%7BArea%20of%20the%20circle%7D%20-%20%5Ctextrm%7BArea%20of%20the%20rectangle%7D)
Area of shaded region= ![50.24\ cm^{2} - 9\ cm^{2} = 41.24\ cm^{2}](https://tex.z-dn.net/?f=50.24%5C%20cm%5E%7B2%7D%20-%209%5C%20cm%5E%7B2%7D%20%3D%2041.24%5C%20cm%5E%7B2%7D)
∴ Area of shaded region= 41.24 cm²