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Home » Discover the Ultimate Java While Condition Tips to Supercharge Your Code! - SoundMerch

Discover the Ultimate Java While Condition Tips to Supercharge Your Code! - SoundMerch

📅 May 13, 2026 👤 scraface

May 13, 2026

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📌 N(3) = oxed{19}

📌 and the function is not defined at \( x = 2 \).

📌 Final simplified value and clarification:

📌 The value of \( N(3) \) is \( oxed{19} \), but \( N(x) \) has a removable discontinuity at \( x = 2 \).

📌 However, since the question asks for \( N(3) \), the answer is:

📌 \]Question: A cartographer measures the lower edge of a mountain ridge as a chord of a circular lake, finding it to be 10 km long, and the perpendicular distance from the lakeâs center to this chord as 3 km. What is the radius of the lake in kilometers?

📌 Solution: Let the radius of the circular lake be $ r $ km. The chord length is 10 km, so half the chord length is $ 5 $ km. The perpendicular distance from the center to the chord is 3 km. By the Pythagorean Theorem applied to the right triangle formed by the radius, half the chord, and the perpendicular from the center to the chord, we have:

📌 r^2 = 3^2 + 5^2 = 9 + 25 = 34

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