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Novosadov [1.4K]
3 years ago
10

How do you know that 50 is not a perfect square?

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0
We can always do a prime factoring of it, and check

50 = 2*5*5
        2*5²

a perfect square, so-called, is the resulting number of a squared value, well 50 is not the result of anything squared, is the result of 3 factors, in this case 2,5 and 5.

a perfect square will be something like say 64, or 144, because

64 = 8*8
        8²

144 = 12*12
          12²
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In ΔKLM, the measure of ∠M=90°, KM = 40, LK = 41, and ML = 9. What ratio represents the tangent of ∠K?
melomori [17]

Answer:

The ratio representing the tangent of ∠K is 40 : 9.

Step-by-step explanation:

Consider the right-angles triangle KLM below.

The angle M is 90°.

KM = perpendicular (<em>p</em>) = 40

ML = base (<em>b</em>) = 9

LK = hypotenuse (<em>h</em>) = 41

The tangent of an angle is the ratio of the perpendicular length to the length of the base.

Compute the tangent of ∠K as follows:

tan (K)=\frac{p}{b}=\frac{40}{9}

Thus, the ratio representing the tangent of ∠K is 40 : 9.

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