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Home » Top Pick for Small Business Owners: The Definitive Best Printer You Need in 2024! - Appcentric

Top Pick for Small Business Owners: The Definitive Best Printer You Need in 2024! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Substitute: \( c^2 = 9^2 + 12^2 = 81 + 144 = 225 \).

📌 So, \( c = \sqrt{225} = 15 \).

📌 The sum of the first \( n \) positive integers is 210. What is \( n \)?

📌 Use the formula \( \frac{n(n+1)}{2} = 210 \).

📌 Multiply both sides by 2: \( n(n+1) = 420 \).

📌 Solve the quadratic: \( n^2 + n - 420 = 0 \).

📌 Factor: \( (n - 20)(n + 21) = 0 \).

📌 Positive solution: \( n = 20 \).

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On the unit circle, the angle \(45^\circ\) corresponds to the point \(...
\tan 45^\circ = \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1
Geometrically, in a right triangle with angles \(45^\circ\), the legs...
A right triangle has legs measuring 8 cm and 15 cm. Find the radius of...
First, compute the hypotenuse \(c\) using the Pythagorean theorem:
c = \sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17 \text{ cm}
A = \frac{1}{2} \times 8 \times 15 = 60 \text{ square cm}
s = \frac{8 + 15 + 17}{2} = 20 \text{ cm}
r = \frac{A}{s} = \frac{60}{20} = 3 \text{ cm}
Thus, the radius of the inscribed circle is \(\boxed{3}\) cm.**Questio...

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