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Home » Area of a right triangle is \( \frac12 \times \textbase \times \textheight \) - Abu Waleed Tea

Area of a right triangle is \( \frac12 \times \textbase \times \textheight \) - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 x^3 + rac{1}{x^3} = \left( x + rac{1}{x}

📌 ight)^3 - 3\left( x + rac{1}{x}

📌 x^3 + rac{1}{x^3} = 5^3 - 3 \cdot 5 = 125 - 15 = 110

📌 Thus, the value is \(oxed{110}\).

📌 An archaeologist deciphers a geometric pattern on a Sumerian artifact where the sum of two dimensions is 10, and the sum of their cubes is 880. Find the product of the dimensions.

📌 Let the dimensions be \( a \) and \( b \). We are given:

📌 \( a + b = 10 \)

📌 \( a^3 + b^3 = 880 \)

🔥 Popular Posts

Ã· 11 â 13.09 â no
Ã· 11 â 13.909 â no
Ã· 11 â 14.727 â no
Ã· 11 â 15.545 â no
Ã· 11 â 16.36 â no
Ã· 11 â 17.18 â no
Ã· 11 = 18 â yes!
is divisible by 11 and by 9 (1+9+8=18). So 198 Ã· 9 = 22, integer.
So $ B = 198 $ is a candidate.
But is there a smaller multiple of 11 in the list? 198 is 11Ã18=198.

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