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Home » Total lattice points: $2 + 2 = \boxed4$. - Coaching Toolbox

Total lattice points: $2 + 2 = \boxed4$. - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Since population is typically a whole number, we round to the nearest integer.

📌 The sum of the first 10 terms of an arithmetic sequence is:

📌 Thus, the total number of specimens in the first 10 layers is 475.

📌 Thus, the population in year 4 is 128.

📌 Solution: Let the legs of the right triangle be $ a $ and $ b $, and the hypotenuse $ c = 13 $. The radius $ r $ of the incircle of a right triangle is given by:

📌 Question: A science administrator is reviewing a triangular plot of land with side lengths 13 m, 14 m, and 15 m, intended for climate data collection stations. What is the length of the shortest altitude of the triangle, in meters?

📌 Solution: We use Herons formula to compute the area of the triangle. The semi-perimeter $ s $ is:

📌 The shortest altitude corresponds to the longest side, which is 15 m. The area is also:

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