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The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
<h3>What is proportional segment between parallel lines?</h3>In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.
Due to this similar triangle the segment formed by the parallel line are proportional segment.
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.
The map of the zoo is attached below.
The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.
Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,
Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
Learn more about the similar triangle here;
The box should have base 52 cm by 52 cm and height 26 cm.
What is volume?
A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.
The Volume of a box with a square base x by x cm and height h cm is
Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.
The surface area of the box described is
We need A as a function of x alone, so we'll use the fact that
⇒
So, the area becomes,
We want to minimize A, so
The second derivative test verifies that A has a minimum at this critical number:
which is positive at x = 52.
Now,
Hence, The box should have base 52 cm by 52 cm and height 26 cm.
To know more about volume, click on the link
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