Find the dimensions of a rectangle whose perimeter is 22 meters and whose area is 28 square meters

1 answer:

8 0

You can solve this by finding all of the factors of 28 and seeing which ones add up to 22 when doubled.

The factors of 28 are as follows:

28 x 1 28(2) + 1(2) = 56 + 2 = 58 ≠ 22
14 x 2 14(2) + 2(2) = 28 + 4 = 32 ≠ 22
7 x 4 7(2) + 4(2) = 14 + 8 = 22

The dimensions of the rectangle are 4 x 7.

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Find the exact value of each expression, if it defined. ( if answer is undefined, enter undefined) tan (-1)

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$tan(-1) \approx -0.02$

Step-by-step explanation:

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The tangent of -1 is defined, it's around -0.02.

The tangent is a trigonometric function with a period of $\pi$ , where each period is separated by a vertical asymptote which indicates that the function is not determined through all its domain, that's what the question refers to when it says "if is undefined, enter undefined".

However, at $x=-1$ , the tangent is determined, that means, there's no asymptote on that coordinate, that's why it has a "determined value", which is -0.02 approximately.