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Home » 15^2 = 225 > 200 \quad \text(not valid) - Portal da AcÃºstica

15^2 = 225 > 200 \quad \text(not valid) - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 #### 4000Question:

📌 What is the arithmetic mean of the first 10 even numbers?

📌 The first 10 even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20.

📌 To find the arithmetic mean, sum these numbers and divide by 10.

📌 \text{Sum} = 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 = 110

📌 \text{Mean} = \frac{110}{10} = 11

📌 The arithmetic mean is \(\boxed{11}\).

📌 How many positive 4-digit numbers are divisible by 5?

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Since the square is inscribed in the circle, the diagonal of the squar...
\text{Diagonal} = 2R = 10 \text{ cm}
For a square with side $ s $, the diagonal is $ s\sqrt{2} $. Therefore...
s\sqrt{2} = 10 \Rightarrow s = \frac{10}{\sqrt{2}} = 5\sqrt{2}
The area of the square is:
s^2 = (5\sqrt{2})^2 = 25 \cdot 2 = 50
Thus, the area is $ \boxed{50} $.
Question: An equilateral triangle has an area of $ 36\sqrt{3} $ cm². I...
The area $ A $ of an equilateral triangle with side length $ s $ is:
A = \frac{\sqrt{3}}{4} s^2

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