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Nikolay [14]
2 years ago
11

N is a whole number.

Mathematics
1 answer:
matrenka [14]2 years ago
8 0

(n-10)(4n-10) -3\\\\=4n^2 -10n-40n+100-3\\\\=4n^2-50n+97\\\\=4n^2 -50n+96 +1\\\\=2(2n^2-25n+48)+1\\\\2(2n^2 -25n+48)~ \text{is even, so}~  2(2n^2 -25n+48) +1~ \text{is odd.}

\text{Hence,}~ (n - 10)(4n - 10) - 3 ~ \text{is always an odd number for}~ n\in \mathbb{W}.

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nlexa [21]

Answer:

The measurement of AB is 16.25 units.

Step-by-step explanation:

In right triangle ABC, ∠C is a right angle, m∠A = 52° , AC = 10.01, and AB = c.

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∠C is a right angle, it means AB is hypotenuse.

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

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