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Home » Interstate 76: The Ultimate Shortcut Between Cleveland and Pittsburgh You Need to Know! - Network4

Interstate 76: The Ultimate Shortcut Between Cleveland and Pittsburgh You Need to Know! - Network4

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 Solution: Let the number be of the form $1000a + 10b + 7$, i.e., ends in 7. We want the smallest such number divisible by 13.

📌 Start from the smallest four-digit number ending in 7: 1007.

📌 Question: A science journalist is analyzing a dataset where each entry corresponds to a year from 1 to 200. She wants to highlight years that are both perfect squares and multiples of 4. How many such years are in the dataset?

📌 Even integers from 2 to 14: $2, 4, 6, 8, 10, 12, 14$ — total of 7 values.

📌 Each gives a perfect square divisible by 4: $4, 16, 36, 64, 100, 144, 196$.

📌 Solution: Consider any four consecutive integers: $n, n+1, n+2, n+3$.

📌 Solution: Let the side length of the square be $ s $. The diagonal of a square divides it into two congruent right triangles, and the relationship between the side length and the diagonal is given by the Pythagorean theorem:

📌 Question: A square is inscribed in a circle with radius 5 cm. What is the number of centimeters in the perimeter of the square?

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