By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 12 in. long and 10 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your answers to two decimal places.)
in (smallest value)
in
in (largest value)
Answer:
perimeter = 20.9 units
Step-by-step explanation:
perimeter
perimeter = distance around two dimensional shape
= addition of all sides lengths
<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>
distance formula:

<h3>1) distance of AB</h3>
A(-3,0) B(2,4)
x1 = -3 x2 = 2
y1 = 0 y2 = 4
(substitute the values into the distance formula)


AB = 6.4 units
<h3>2) distance of BC</h3>
B(2,4) C(3,1)
x1 = 2 x2 = 3
y1 = 4 y2 = 1



BC = 3.2 units
<h3>3) distance of CD</h3>
C(3,1) D(-4,-3)
x1 = 3 x2 = -4
y1 = 1 y2 = -3



CD = 8.1 units
<h3>4) distance of AD</h3>
A(-3,0) D(-4,-3)
x1 = -3 x2 = -4
y1 = 0 y2 = -3



AD = 3.2 units
<h2>perimeter of figure</h2>
= AB+BC+CD+AD
= 6.4 + 3.2 + 8.1 + 3.2
= 20.9 units
Answer:
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Step-by-step explanation:
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Circumference of a circle is 2 x pi x r
Answer:
126 inches
Step-by-step explanation:
If your drawing is on a 1 : 40 scale, to find the scale's height, divide the ride's height by 40.
420 / 40 = 10.5
So the drawing will be 10.5 feet tall.
To convert 10.5 feet to inches, multiply it by 12.
10.5 * 12 = 126 inches