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Home » Spanish Coloring: The Easy Way to Create Vibrant Art Like a Local! - American Beagle Club

Spanish Coloring: The Easy Way to Create Vibrant Art Like a Local! - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Remainder is 34.

📌 Step 2: Divide 68 by 34:

📌 = 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

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