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last time florida won a national championship - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 A wind turbine blade is designed as a sector of a circle with radius 15 meters and central angle \(120^\circ\). Find the perimeter of the blade, including the two straight edges and the curved arc.

📌 The perimeter of the blade includes two radii and the arc length. The arc subtends \(120^\circ\), which is \(\frac{120}{360} = \frac{1}{3}\) of a full circle.

📌 Arc length:

📌 L = \frac{1}{3} \times 2\pi \times 15 = 10\pi \text{ meters}

📌 Two straight sides: \(2 \times 15 = 30\) meters.

📌 Total perimeter:

📌 P = 30 + 10\pi

📌 Thus, the perimeter is \(\boxed{30 + 10\pi \text{ meters}}\).Question: A palynologist observes that the number of pollen grains in a sample grows quadratically over time. If on day 2 there are 120 grains, on day 4 there are 360 grains, and on day 6 there are 720 grains, find the quadratic polynomial $ p(t) $ that models the number of pollen grains on day $ t $.

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