Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to

where

substitute

Convert to expanded form

using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
This figure has 1 line of symmetry
You could make them have the same denominator, making it 7/10-5/10=2/10.
The answer is 2/10, or simplified, 1/5.
X is a 90 degree angle so x equals half of 90 which is 45
X= 45
Since x is 45 the other angle on the other side is 45
Every triangle equals 180 so you take 45+45 to get 90 and subtract that from 180 and get 90
Y= 90
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Answer:
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Step-by-step explanation: