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Answer #22,27 and 28 please.Explain in sentence with details 22. What is the area of a circle 3.102 cm in diameter? 23. If a marathon

Answer #22,27 and 28 please.Explain in sentence with details

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22. What is the area of a circle 3.102 cm in diameter? 23. If a marathon runner averages 9.5 mi/h, how long does it take him or her to run a 26.22-mi marathon? 24. A marathon runner completes a 42.188-km course in 2 h , 30 min, and 12 s . There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the uncertainty in the elapsed time. (c) What is the average speed in meters per second? (d) What is the uncertainty in the average speed? 25. The sides of a small rectangular box are measured to be 1.80 + 0.01 cm, 2.05 + 0.02 cm, and 3.1 + 0.1 cm long. Calculate its volume and uncertainty in cubic centimeters. 26. When non-metric units were used in the United Kingdom, a unit of mass called the pound-mass (Ibm) was employed, where 1 1bm = 0.4539 kg . (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent er uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms? 27. The length and width of a rectangular room are measured to be 3.955 + 0.005 m and 3.050 + 0.005 m . Calculate the area of the room and its uncertainty in square meters. 28. A car engine moves a piston with a circular cross section of 7.500 + 0.002 cm diameter a distance of 3.250 + 0.001 cm to compress the gas in the cylinder. (a) By what amount is the gas decreased in volume in cubic centimeters? (b) Find the uncertainty in this volume

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