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.
First, find the increase in charge between the two station. That is:
$4.12-$4.00=$0.12
Then, divide the increase by the price charged by Gas Station X.
$0.12/$4.00=0.03
Lastly, since it is a decimal, transform it to percentage by multiplying 100%
0.03x100%=3%
Hope this is the brainliest answer.
Answer:
it would be 48oz
Step-by-step explanation:
16 times 3 = 48oz -sorry if this is not right
have a wonderful day :)
Answer:
If you add 690 ml of water you will obtain 1.690 liter of 70% alcohol. Of course if you halve the amounts, e.g. 0.5 liter 75% alcohol and 345 ml of water, you will also obtain 45% alcohol solution.
<h3>Answer:</h3>
One line segment is 10 cm and the other one is 45 cm
Hope this helps you!
Have an amazing day :)
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