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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Another one Asiphe — let's solve it. 4.1.1 Step 1: Identify the given distances. Distance AD = 10.9 m Distance CB = 9.43 m Step 2: Form the ratio AD to CB. Ratio = 10.9 : 9.43 Step 3: Convert the ratio to whole numbers by multiplying by 100. Ratio = 1090 : 943 Step 4: Check for common factors to simplify. 943 = 23 × 41 1090 = 2 × 5 × 109 There are no common factors between 1090 and 943. The simplified ratio is 1090 : 943. 4.1.2 Step 1: Identify the given perimeter and known side lengths. Perimeter of ABCD = 125.92 m Distance AD = 10.9 m Distance CB = 9.43 m Curved distance AB = 57.5 m Step 2: Use the perimeter formula. Perimeter = AD + CD + CB + Curved AB 125.92 = 10.9 + CD + 9.43 + 57.5 Step 3: Sum the known lengths. 10.9 + 9.43 + 57.5 = 77.83 m Step 4: Solve for CD. 125.92 = CD + 77.83 CD = 125.92 - 77.83 CD = 48.09 m The distance CD is 48.09 m. 4.1.3 Step 1: Identify the diameter of the pool from the sketch. Diameter = 4.73 m Step 2: Calculate the radius using the formula Radius = Diameter / 2. Radius = (4.73)/(2) Radius = 2.365 m The length of the radius of the pool is 2.365 m. 4.1.4 Step 1: Identify the length of the curved side AB and the cost per running metre. Length of curved side AB = 57.5 m Cost per running metre = R97.56 Step 2: Calculate the total cost. Total cost = Length of AB × Cost per running metre Total cost = 57.5 m × R97.56/m Total cost = R5614.70 The total cost of erecting the fence is R5614.70. 4.2.1 Step 1: Identify the fuel consumption rate. 8.4 litres of petrol allows travel of 80 km. Step 2: Calculate the distance per litre. Distance per litre = 80 km8.4 L Step 3: Calculate the total distance for 60 litres. Total distance = 80 km8.4 L × 60 L Total distance = (4800)/(8.4) km Total distance ≈ 571.42857 km Step 4: Round the distance to the nearest km. Total distance ≈ 571 km The vehicle can travel approximately 571 km. 4.2.2 Step 1: Identify the given distance and time. Distance = 196 km Time = 1 hour 45 minutes Step 2: Convert the time to hours. 45 minutes = (45)/(60) hours = 0.75 hours Total time = 1 + 0.75 = 1.75 hours Step 3: Use the given formula for average speed. Average Speed = distancetime Average Speed = 196 km1.75 hours Average Speed = 112 km/h The average speed of the vehicle is 112 km/h. Send me the next one 📸