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Home » exclusive: The True Story Behind Darkness and Glory in Baldurs Gate 1! - Carbonext

exclusive: The True Story Behind Darkness and Glory in Baldurs Gate 1! - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 = 34 \times 2 + 0

📌 Remainder is 0.

📌 Since the remainder is now 0, the last non-zero remainder is the GCF.

📌 Thus, the greatest common factor of 68 and 102 is \(\boxed{34}\).**Question:** A linguist studying the evolution of language families models the spread of a new dialect as a circular wave expanding uniformly from a central point. If the wavefront forms a circle with radius increasing by 3 cm per second, what is the area of the region covered by the dialect after 4 seconds? Express your answer in terms of $\pi$.

📌 Solution:** After 4 seconds, the radius of the expanding wavefront is $ r = 3 \times 4 = 12 $ cm. The area covered by the circular wave is given by the formula for the area of a circle:

📌 A = \pi r^2 = \pi (12)^2 = 144\pi

📌 Thus, the area of the region covered by the dialect is $\boxed{144\pi}$.

📌 Question:** A soil scientist studying erosion patterns near a river observes a triangular plot of land with side lengths of 13 m, 14 m, and 15 m. To analyze drainage flow, she needs the length of the shortest altitude. What is the length of the shortest altitude?

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