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AlladinOne [14]
2 years ago
5

A rectangle is called cool if the number of square units in its area is equal to twice the number of units in its perimeter. A c

ool rectangle also must have integer side lengths. What is the sum of all the different possible areas of cool rectangles?
Mathematics
1 answer:
bekas [8.4K]2 years ago
3 0
Rectangles that are 5×20, 6×12, or 8×8 will satisfy your criteria. The sum of the areas of those is 236 units².

_____
20×5 and 12×6 rectangles are also "cool", but their areas are not different from those already counted.
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Answer:

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Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

<em>Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.

My answer:

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We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}

Please have a look at the attached photos.

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