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Home » \sin x \cos x = \frac12 \sin(2x). - Nelissen Grade advocaten

\sin x \cos x = \frac12 \sin(2x). - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \frac{1}{4} - \frac{1}{102} + \frac{1}{104} = \frac{1}{4} - \frac{52 - 51}{5304} = \frac{1}{4} - \frac{1}{5304} = \frac{1326 - 1}{5304} = \frac{1325}{5304}.

📌 Final answer: $\boxed{\dfrac{1325}{5304}}$Question:

📌 A micropaleontologist is studying a circular microfossil with a radius of 5 cm. If a concentric circular groove of width 1 cm is carved through the center, what is the area of the remaining microfossil material in square centimeters?

📌 The original area of the circular microfossil is calculated using the formula for the area of a circle:

📌 where \( r = 5 \) cm. Thus, the original area is:

📌 A = \pi (5)^2 = 25\pi \text{ square centimeters.}

📌 The groove is 1 cm wide and concentric, effectively reducing the radius of the remaining material to \( 5 - 1 = 4 \) cm. The area of the reduced circle (remaining material) is:

📌 A_{\text{remaining}} = \pi (4)^2 = 16\pi \text{ square centimeters.}

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