Using shoelace formula:

February 22, 2026

Using shoelace formula:

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A science educator prepares a chemistry experiment requiring a 3:5 ratio of Chemical A to Chemical B. If 270 mL of Chemical A is used, how much of Chemical B is needed?
Ratio: 3:5 → A/B = 3/5 → B = (5/3) × A = (5/3) × 270 = <<5/3*270=450>>450 mL
A geographer uses GIS to calculate the area of a triangular park with vertices at (0,0), (8,0), and (3,6). What is the area in square units?
Area = |(0×0 + 8×6 + 3×0) - (0×8 + 0×3 + 6×0)| / 2 = |(0 + 48 + 0) - (0 + 0 + 0)| / 2 = 48/2 = <<48/2=24>>24
A tech consultant evaluates server efficiency. A cloud server processes 1200 requests per minute using 300 watts. A new model processes 2000 requests per minute using 400 watts. By how many requests per watt is the new model more efficient?
Old: 1200 / 300 = <<1200/300=4>>4 req/W

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