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Home » "5 Shocking Truths About ‘Lost Souls Aside’ You Won’t Believe Are Real! - Abbey Badges

"5 Shocking Truths About ‘Lost Souls Aside’ You Won’t Believe Are Real! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Thus, the length of each side of the hexagon is \(\boxed{6}\).

📌 Question: A circle is inscribed in a right triangle with legs of lengths \(9\) units and \(12\) units. Find the radius of the inscribed circle.

📌 Solution: The area \(A\) of the triangle is given by:

📌 A = \frac{1}{2} \times 9 \times 12 = 54

📌 s = \frac{9 + 12 + 15}{2} = 18

📌 where \(15\) is the hypotenuse, calculated by \(c = \sqrt{9^2 + 12^2} = 15\). The radius \(r\) of the inscribed circle is given by:

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-\frac{-9}{4} = \frac{9}{4}
Thus, the sum of the roots is \(\boxed{\frac{9}{4}}\).
A science communicator is explaining the exponential growth of bacteri...
Start by isolating the exponential term:
e^{0.3t} = \frac{100}{5} = 20
Take the natural logarithm of both sides to solve for \( t \):
\ln(e^{0.3t}) = \ln(20)
0.3t = \ln(20)
Now solve for \( t \):
t = \frac{\ln(20)}{0.3}

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