C=2πr and x^2+y^2=r^2
r=4 because of the equation (16)^1/2 is 4
C=8π
Answer:
21<em>a</em> − 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
You know that the ratio of the sides of the rectangular window is:
Then, let be 
the width (in inches) of the rectangular window and 
the lenght (in inches) of the rectangular window.
Knowing that the area of the window is 2,720 square inches, you can know that:
Now you must solve for "x" in order to find the width:
Finally, the lenght is:
Answer:
$191.59
Step-by-step explanation:
Answer:
x = -4, y = 7, z = 2.
Step-by-step explanation:
4x + 2y + 5z = 8......(1)
5x + 3y + 4z = 9......(2)
6x + 3y + 3z = 3......(3)
Subtract: equation (2) - equation (3):
-x + z = 6 ........(4)
Multiply (1) by 3 and (2) by 2:
12x + 6y + 15z = 24 .........(5)
10x + 6y + 8z = 18 ...........(6)
Subtract: (5) - (6):
2x + 7z = 6..............(7)
Multiply equation (4) by 2:
- 2x + 2z = 12.........(8)
Add (7) + (8):
9z = 18 , so z = 2.
Substitute for z in equation (4)
-x + 2 = 6
-x = 4 so x = -4.
Now find y by substituting in equation (1):
4(-4) + 2y + 5(2) = 8
2y = 8 + 16 - 10 = 14
y = 7.
