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Home » Increasing each side by \(50\%\) gives a new side length: - AMAZONAWS

Increasing each side by \(50\%\) gives a new side length: - AMAZONAWS

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 Since paint is usually sold in whole liters, round up to 1 liter.

📌 A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Determine if it is a right triangle, and if so, calculate its area in square centimeters.

📌 \[ a^2 + b^2 = c^2 \]

📌 \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 7 \times 24 = 84 \text{ cm}^2 \]

📌 A conical flask has a base radius of 4 cm and a height of 15 cm. Calculate the volume in cubic centimeters, then determine how many such cones are needed to hold 5 liters of liquid. (Volume of cone: \( V = \frac{1}{3}\pi r^2 h \))

📌 Volume of one cone:

📌 \[ V = \frac{1}{3} \pi \times 4^2 \times 15 = \frac{1}{3} \pi \times 16 \times 15 = 80\pi \approx 251.33 \text{ cm}^3 \]

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