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.
I Believe its 2/5
(just know im not too sure)
Answer: 50a+2
Step-by-step explanation:
1. Simplify 5a5a\5a5a to 1.
1+5×10a+10
2.Simplify 5×10a to 50a.
1+50a+10
3.Cancel 10.
1+50a+1
4. Collect like terms.
50a+(1+1)
5. Simplify.
50a+2
Answer:
676
Step-by-step explanation:
you just add them
Answer:
Y is 25, P% is 20, so the equation is 25/20% = X Convert the percentage to a decimal by dividing by 100. Converting 20% to a decimal: 20/100 = 0.20
Step-by-step explanation:
