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: 0.1 liter
Step-by-step explanation:
From the question, we are informed that Brianna teacher gives her a container that has 0.25 liter of a liquid in it and she needs to use 0.4 of this liquid for the experiment.
The amount of liquid that Brianna will use will be:
= 0.4 × 0.25 liters
= 0.1 liter
Answer: it is b
Step-by-step explanation:
I think I might be right I hope I am if not I’m so sorry
Answer:
0.09 or 9%
Step-by-step explanation:
I = Prt
Given:
I = 1890
P = 7000
t = 3
Work:
I = Prt
r = I/(Pt)
r = 1890/(7000 x 3)
r = 1890/21000
r = 0.09
Answer:
i BELIEVE ITS
Step-by-step explanation:
5 [13 + 10 = (3 + 2)] + 9 x 2
65+50=25+18
115=43
