Answer: 9 is the value of "x".
The post office will accept packages whose combined length and girth is at most 42 inches. (the girth is the perimeter/distance
around the package perpendicular to the length; for a rectangular box, the length is the largest of the three dimensions.) what is the largest volume that can be sent in a rectangular box? (round answer to 2 decimal places.)
1 answer:
If x represents the length of the box, then 42-x will be the girth. Since the largest area for a given girth is that of a square, the side length of the square cross section is (42 -x)/4.
The volume as a function of package length is then
.. v(x) = x((42-x)/4)^2
This has a maximum at x=14. The corresponding volume is 686 in^3.
The volume as a function of package length is then
.. v(x) = x((42-x)/4)^2
This has a maximum at x=14. The corresponding volume is 686 in^3.
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Answer:
x = 8.75, y = 8.125
Step-by-step explanation:
The triangles are similar thus the ratios of corresponding sides are equal, that is
=
( cross- multiply )
8x = 70 ( divide both sides by 8 )
x = 8.75
And
=
( cross- multiply )
8y = 65 ( divide both sides by 8 )
y = 8.125