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: 24 cones.
Step-by-step explanation:
We know that each cone contains 1/32 of a gallon of ice cream.
And Izzy has a total of 3/4 gallons.
How many cones we can make with this? This will be equal to the quotient between 3/4 gallons and 1/32 gallons, which will be equal to the number of times that we can fit 1/32 in 3/4
this is:
N = (3/4 gal)/(1/32 gal) = 24
This means that we can make 24 ice cream cones with 3/4 gal of ice cream.
Answer:
____________
the answer is B
___________
explanation
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(x^2 - 2x) - 3xy + 6y
Factor out the greatest common factor (GCF) from each group.
x(x - 2) - 3y (x - 2)
Factor the polynomial by factoring out the greatest common factor, x - 2
(x - 2) (x - 3y)
For the first 25 If they all share 25 pounds to a pound each the second I don’t understand
Answer:
c = 2 or c = -2
Step-by-step explanation:
Hope this helps.
