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\[ b = 1.6 \] - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The product of the smallest and largest is 26 × 30 = 780.

📌 A rectangle has a length that is 3 times its width. If the diagonal is 10√10 meters, what is the area of the rectangle?

📌 By Pythagoras: w² + (3w)² = (10√10)² → w² + 9w² = 1000 → 10w² = 1000 → w² = 100 → w = 10.

📌 Length = 30, so area = 10 × 30 = 300 square meters.

📌 A car travels from city A to city B at 60 km/h and returns at 40 km/h. What is the average speed for the entire round trip?

📌 Let distance be d. Time to B = d/60, time to return = d/40.

📌 Total distance = 2d. Total time = d/60 + d/40 = (2d + 3d)/120 = 5d/120 = d/24.

📌 Average speed = total distance / total time = 2d / (d/24) = 48 km/h.

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