SU = 2x - 12
+12 on both sides
12 = 2x
/2 on both sides
6 = x
x = 6
SU = 2x - 12
SU = 2(6) - 12
SU = 12 - 12
SU = 0
Answer:
SU = 0
And? What happens to her and the calculator?
Answer: 60
Step-by-step explanation:
Almost everything in this picture is irrelevant to finding the measure of x.
x = 180 - 90 - 30 = 60
Answer:
Side lengths = 1.68 ft and width = 3.36 ft.
Step-by-step explanation:
Let the side lengths of the window be L and the width = 2r ( r is also the radius of the semi-circle).
So we have
Perimeter = 2L + 2r + πr = 12
Area = 2rL + 0.5πr^2
From the first equation
2L = 12 - 2r - πr
Substitute for 2L in the equation for the area:
A = r(12 - 2r - πr) + 0.5πr^2
A = 12r - 2r^2 - πr^2 + 0.5πr^2
A = 12r - 2r^2 - 0.5πr^2
We need to find r for the maximum area:
Finding the derivative and equating to zero:
A' = 12 - 4r - πr = 0=
4r + πr = 12
r = 12 / ( 4 + π)
r = 1.68 ft.
So the width of the window = 2 * 1.68 = 3.36 ft.
Now 2L = 12 - 2r - πr
= 12 - 2*1.68 - 1.68π
= 3.36
L = 1.68.
Answer:
200?
Step-by-step explanation:
I did that by multiplying 20 by 10 because I rounded to those numbers.