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After 5 stages: 12.96 × 0.6 = 7.776% < 10%
A retired engineer volunteers to measure the circumference of a circular exhibit with a diameter of 14 meters. Using π ≈ 22/7, what is the approximate circumference?
Circumference = π × diameter = (22/7) × 14 = 44 meters
A medical application uses a drug delivery system where each nanoparticle carries 3.2 × 10⁻⁹ grams of medicine. How many nanoparticles are needed to deliver 0.48 milligrams?
Convert 0.48 mg to grams: 0.48 × 10⁻³ = 4.8 × 10⁻⁴ g
Number of nanoparticles = total dose / dose per particle = (4.8 × 10⁻⁴) / (3.2 × 10⁻⁹)
= (4.8 / 3.2) × 10⁵ = 1.5 × 10⁵ = 150,000
A science museum installs a ramp for accessibility that rises 1 meter over a horizontal run of 5 meters. What is the angle of inclination (in degrees) to the nearest tenth?
Use tangent: tanθ = opposite / adjacent = 1 / 5 = 0.2
θ = arctan(0.2) ≈ 11.3°