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Home » Thus, the length is \(2 \times 40 = 80\). - Midis

Thus, the length is \(2 \times 40 = 80\). - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Question: A zoologist tracks an animal’s path forming a right triangle with legs 9 cm and 12 cm. What is the sine of the angle opposite the 9 cm side?

📌 Solution: The hypotenuse is $\sqrt{9^2 + 12^2} = 15$ cm. $\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{9}{15} = \frac{3}{5}$.

📌 \boxed{\dfrac{3}{5}}

📌 Question: A geneticist analyzes a protein structure shaped like a regular octahedron with edge length 4 nm. What is the surface area in square nanometers?

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📌 \boxed{32\sqrt{3}}Question: What is the largest possible number of identical research grants that can be awarded using 2025 and 1515 units of funding, ensuring no funds remain unallocated?

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Combine logs: log₂[(x + 3)(x − 1)] = 3
x² + 2x − 3 = 8
x² + 2x − 11 = 0
Using quadratic formula: x = [-2 ± √(4 + 44)] / 2
x = [-2 ± √48] / 2
x = [-2 ± 4√3] / 2
x = -1 ± 2√3
Only x = -1 + 2√3 is valid (since x > 1)
x ≈ -1 + 3.464 = 2.464
A rectangular prism has volume 120 cubic inches. Its length is twice i...

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