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Home » Let integers be x and x+1 - Aurero

Let integers be x and x+1 - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 where \( r = 5 \) cm. Thus, the original area is:

📌 A = \pi (5)^2 = 25\pi \text{ square centimeters.}

📌 The groove is 1 cm wide and concentric, effectively reducing the radius of the remaining material to \( 5 - 1 = 4 \) cm. The area of the reduced circle (remaining material) is:

📌 A_{\text{remaining}} = \pi (4)^2 = 16\pi \text{ square centimeters.}

📌 Therefore, the area of the remaining microfossil material is:

📌 \boxed{16\pi}

📌 A climate change journalist observes a triangular seawall with side lengths 13 m, 14 m, and 15 m. To assess its structural integrity, she needs to determine the length of the shortest altitude. What is the length of the shortest altitude, in meters?

📌 First, we compute the area of the triangle using Heron’s formula. The semi-perimeter \( s \) is:

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