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Home » Let the fifth number be \( x \). - Abu Waleed Tea

Let the fifth number be \( x \). - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \int_0^{45} (60 - (X + 15))\, dX = \int_0^{45} (45 - X)\, dX = \left[45X - \frac{X^2}{2}\right]_0^{45} = 45 \cdot 45 - \frac{45^2}{2} = 2025 - \frac{2025}{2} = \frac{2025}{2}

📌 Así, el área favorable es $ \frac{2025}{2} $. El área total es 3600, entonces:

📌 P = \frac{2025/2}{3600} = \frac{2025}{7200} = \frac{81}{288} = \frac{9}{32}

📌 Simplificando:

📌 \frac{2025 \div 225}{7200 \div 225} = \frac{9}{32}

📌 \boxed{\dfrac{9}{32}}

📌 $$Question: A virologist is studying the structure of a viral capsid modeled as a regular hexagonal prism with six congruent equilateral triangle faces. If each edge of the prism is 4 cm, what is the total surface area of the prism in square centimeters?

📌 Solution: The surface area of a regular hexagonal prism consists of the area of the two hexagonal bases and the six triangular lateral faces. Each face is equilateral with side length $ s = 4 $ cm.

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