This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to Question 4. 4.1 Calculate in km the distance cycled in Vineyard Race. Step 1: Identify the distance given and the conversion factor. Distance = 70 miles Conversion: 1 km = 0.6214 miles Step 2: Convert miles to kilometres. 70 miles × 1 km0.6214 miles = (70)/(0.6214) km 112.648857... km ≈ 112.65 km The distance cycled in Vineyard Race is 112.65 km. 4.2 Calculate in km the distance cycled in Ocean to Ocean Race. Step 1: Identify the distance given and the conversion factors. Distance = 130 000 yards Conversion: 1 yard = 0.9144 metres and 1 km = 1000 metres Step 2: Convert yards to metres, then metres to kilometres. 130 000 yards × 0.9144 m1 yard × 1 km1000 m = (130000 × 0.9144)/(1000) km = 130 × 0.9144 km = 118.872 km ≈ 118.87 km The distance cycled in Ocean to Ocean Race is 118.87 km. 4.3 Calculate in km the distance cycled in Karoo Fun Race. Step 1: Identify the distance given and the conversion factors. Distance = 888 500 feet Conversion: 1 m = 3.281 feet and 1 km = 1000 metres Step 2: Convert feet to metres, then metres to kilometres. 888 500 feet × 1 m3.281 feet × 1 km1000 m = (888500)/(3.281 × 1000) km = (888.5)/(3.281) km = 270.799756... km ≈ 270.80 km The distance cycled in Karoo Fun Race is 270.80 km. 4.4 Calculate in km the distance cycled Charity Fun Sprint. Step 1: Identify the distance given and the conversion factors. Distance = 5 832 154 inches Conversion: 1 inch = 2.54 cm, 1 m = 100 cm, and 1 km = 1000 m Step 2: Convert inches to cm, cm to m, then m to km. 5 832 154 inches × 2.54 cm1 inch × 1 m100 cm × 1 km1000 m = (5832154 × 2.54)/(100 × 1000) km = (14818660.16)/(100000) km = 148.1866016 km ≈ 148.19 km The distance cycled in Charity Fun Sprint is 148.19 km. 4.5 Verify with calculations whether Jappie will be able to win the club cycling cup. Step 1: Sum all the distances Jappie cycled (using more precise values before rounding). Total distance = Distance (Vineyard) + Distance (Ocean-to-Ocean) + Distance (Karoo) + Distance (Charity) Total distance = 112.648857 + 118.872 + 270.799756 + 148.1866016 km Total distance = 650.5072146 km Total distance ≈ 650.51 km Step 2: Compare the total distance to the required distance for the club cycling cup. Required distance = 600 km Since 650.51 km > 600 km, Jappie has cycled more than the required distance. Therefore, Jappie will be able to win the club cycling cup. 3 done, 2 left today. You're making progress.