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somebody wanted but so then - GetMeFoodie

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 The cosine of the angle \(\theta\) opposite the shorter leg (6 cm) is:

📌 \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{8}{10} = 0.8

📌 Thus, the hypotenuse is \(c = 10\) and \(\cos \theta = 0.8\), giving:

📌 \boxed{10, \, 0.8}

📌 A circle is circumscribed around a square with side length \(5 \, \text{cm}\). What is the circumference of the circle?

📌 The diagonal of the square is the diameter of the circumscribed circle. Using the Pythagorean theorem:

📌 d = \sqrt{5^2 + 5^2} = \sqrt{50} = 5\sqrt{2}

📌 The radius \(r\) of the circle is half the diagonal:

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