Answer:
- ength (l) : (10-2*5/3) = 20/3
- width(w): (10 - 2*5/3) = 20/3
- height(h): 5/3
Step-by-step explanation:
Let x is the side of identical squares
By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:
- length (l) : (10-2x)
- width(w): (10-2x)
- height(h): x
The volume will be:
V = (10-2x) (10-2x) x
<=> V = (10x-2
) (10-2x)
<=> V = 100x -20 - 20 + 4
<=> V = 4 - 40 + 100x
To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume
dV/dx = 12 -80x + 100
<=> 12 -80x + 100 =0
<=> x = 5 or x= 5/3
You know 'x' cannot be 5 , because if we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3
=>
- length (l) : (10-2*5/3) = 20/3
- width(w): (10 - 2*5/3) = 20/3
- height(h): 5/3
(x1,y1)
(x2,y2)
(xm,ym)
Midpoint formula is given as below.
((x1 + x2)/2 , (y1 + y2)/2 )
Where
(x1 + x2)/2 = xm ----------- (1)
(y1 + y2)/2 = ym ----------- (2)
Equation (1) implies that;
x1 + x2 = 2xm
x2 = 2xm – x1
Equation (2) implies that;
y1 + y2 = 2ym
y2 = 2ym – y1
Thus the end point is
<span>(x2,y2) = (2xm – x1, 2ym – y1)</span>
10 x=16
100 160
160+0.1(160)=176
25 x=44
100 176
0.25(176)=44/month
Answer:
B
Step-by-step explanation:
The most reasonable one is B because its 7 for side B and the rest for B are either bigger or equal to the given number
The discount price will be 0.8X dollars.
Step-by-step explanation:
Given,
Price of an item = X dollars
Discount = 20%
Amount of discount = 20% of Price of item
Amount of discount =
Price of item after discount = Price of item - Amount of discount
Price of item after discount = X-0.2X = 0.8X dollars
The discount price will be 0.8X dollars.
Keywords: discount, subtraction
