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To choose exactly 2 papers by Newton and 1 by Leibniz: - Portal da AcÃºstica

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 The area \(A\) of a triangle is given by \(A = \frac{1}{2} \times \text{base} \times \text{height}\). Solving for height, \(45 = \frac{1}{2} \times 9 \times \text{height}\), gives \(\text{height} = \frac{45 \times 2}{9} = 10\) units.

📌 A sphere has a surface area of 314 square centimeters. What is its radius?

📌 The surface area \(A\) of a sphere is \(A = 4\pi r^2\). Solving for \(r\), \(314 = 4\pi r^2\) gives \(r^2 = \frac{314}{4\pi} \approx 25\), so \(r \approx 5\) centimeters.

📌 An investment of $1,000 earns 5% annual interest compounded annually. What will be the amount after 10 years?

📌 The future amount \(A\) is given by \(A = P(1 + r)^n\), where \(P = 1000\), \(r = 0.05\), and \(n = 10\).

📌 A = 1000 \times (1.05)^{10} \approx 1000 \times 1.62889 = 1628.89

📌 #### 1628.891. A car travels 150 miles at a speed of 50 miles per hour, then 200 miles at a speed of 60 miles per hour. What is the total time taken for the entire trip?

📌 First part time = 150 miles / 50 mph = 3 hours

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