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best time to see black moon tonight - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 360^\circ - 300^\circ = 60^\circ

📌 \cos 300^\circ = \cos (360^\circ - 60^\circ) = \cos 60^\circ = \frac{1}{2}

📌 Therefore, \(\cos 300^\circ = \boxed{\frac{1}{2}}\).

📌 A rectangle with dimensions \(8\) cm by \(15\) cm is inscribed in a circle. What is the number of centimeters in the circumference of the circle? Express your answer in terms of \(\pi\).

📌 When a rectangle is inscribed in a circle, its diagonal is the diameter of the circle. Using the Pythagorean Theorem, the diagonal \(d\) is:

📌 d = \sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17 \text{ cm}

📌 Thus, the diameter of the circle is \(17\) cm, so the radius is \(8.5\) cm. The circumference \(C\) is:

📌 C = 2\pi r = 2\pi \times 8.5 = 17\pi \text{ cm}

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