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Home » Radius of the circle = 12 / 2 = 6 cm - Blask

Radius of the circle = 12 / 2 = 6 cm - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A software developer is optimizing a mobile app’s data usage. The app sends a 4.8 MB diagnostic packet every 15 minutes. After enabling compression, the packet size reduces by 42.5%. If the device has a daily data cap of 120 MB, how many compressed packets can it send without exceeding the limit?

📌 Compressed packet size: 4.8 × (1 – 0.425) = 4.8 × 0.575 = <<4.8*0.575=2.76>>2.76 MB.

📌 Packets per day: 120 ÷ 2.76 ≈ <<120/2.76=43.478>>43.478 → floor to 43 full packets.

📌 A cartographer uses satellite imagery with a resolution of 0.5 meters per pixel to map a forested region. A drone survey covers an area of 2.4 km², and each image tile covers 1600 pixels. How many image tiles are needed to fully map the region?

📌 Area in square meters: 2.4 km² = 2.4 × 1,000,000 = <<2.4*1000000=2400000>>2,400,000 m².

📌 Total pixels needed: 2,400,000 ÷ 0.25 = <<2400000/0.25=9600000>>9,600,000 pixels.

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