0 47
2 62
4 92
8 154
Hope this helps
Answer:
RULES:
Half of your diameter is ALWAYS your radius.
15 divided by 2 = 7.5 cm
6.5 divided by 2 = 3.25 in.
3 divided by 2 = 1.5 ft
8 divided by 2 = 4 m
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.
f(x) = x2 + 2x + 1, g(x) = 11x − 19 x<span>2 </span>+ 2x + 1 = 11x - 19 x2 - 9x + 20 = 0 (x-4)(x-5) = 0 x = 4, 5
Answer:
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