He wants 44 feet plastic edging.
Explanation
Hand is setting up a circular base for a screen house and the dimensions of the circular base is given. we have to find out the length of plastic edging that encloses the base.The length of the edging will be the circumference of the circular base.
diameter of the base=14 feet
radius of the base=diameter/2=14/7=7 feet
The length of the plastic edging is 44 feet.
Answer:
Option D) c = 100, a = 50, s = 20
Step-by-step explanation:
we have
6c + 7a + 2s = 990 -----> equation A
3c + 3a + 4s = 430 -----> equation B
2c + 4a + 4s = 480 ----> equation C
Isolate variable s in equation A
2s = 990 -6c-7a
s=495-3c-3.5a -----> equation D
Substitute equation D in equation B and in equation C
3c + 3a + 4(495-3c-3.5a) = 430
3c + 3a +1,980-12c-14a= 430
-9c-11a=-1,550 -----> equation E
2c + 4a + 4(495-3c-3.5a) = 480
2c+4a+1,980-12c-14a=480
-10c-10a=-1,500 -----> 10c+10a=1,500 -----> equation F
Solve the system of equations E and F by graphing
using a graphing tool
Let
The variable c -----> the x-axis
The variable a ----> the y-axis
The solution is the point (50,100)
see the attached figure
so
c=50, a=100
Find the value of s
s=495-3(50)-3.5(100)=-5 -----> is not make sense
therefore
Let
The variable c -----> the y-axis
The variable a ----> the x-axis
The solution is the point (50,100)
so
a=50, c=100
Find the value of s
s=495-3(100)-3.5(50)=20
therefore
The solution is
c=100,a=50,s=20
