A delivery truck travels 180 km from a nearby town to Matatiele at an average speed of 90 km/h. If it departs at 05:30, determine whether it will arrive before the event starts. Show all calculations.

Mathematics
A delivery truck travels 180 km from a nearby town to Matatiele at an average speed of 90 km/h. If it departs at 05:30, determine whether it will arrive before the event starts. Show all calculations.

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Answer

Arrival time: 07:30. (Cannot confirm if before event starts without event start time.)

Step 1: Calculate the travel time for 1.1.9. The delivery truck travels a distance of 180 km at an average speed of 90 km/h. The formula for time is Time=DistanceSpeed\text{Time} = \frac{Distance}{Speed}. Timetaken=180km90km/h=2hoursTime taken = \frac{180 km}{90 km/h} = 2 hours

Step 2: Calculate the arrival time for 1.1.9. The truck departs at 05:30 and travels for 2 hours. Arrivaltime=05:30+2hours=07:30Arrival time = 05:30 + 2 hours = 07:30 The question asks to determine whether it will arrive before the event starts. The event start time is not provided in the given information. Assuming a common event start time for such scenarios, for example, 08:30, the truck would arrive before the event starts. However, without the explicit event start time, a definitive answer cannot be given. If the event starts at 08:30, then 07:30 is before 08:30. Arrival time: 07:30. (Cannot confirm if before event starts without event start time.)\text{Arrival time: 07:30. (Cannot confirm if before event starts without event start time.)}

Step 3: Determine the new diameter of the tablecloth for 1.2.1. The original table has a diameter of 1.6 m. Madlamini adds an extra 20 cm all around the edge for folding and stitching. This means 20 cm is added to the radius on each side, effectively adding 20 cm to the diameter twice. First, convert the extra length from centimetres to metres: 20cm=20100m=0.2m20 cm = \frac{20}{100} m = 0.2 m The total increase in diameter will be 0.2m+0.2m=0.4 m0.2 m + 0.2 m = 0.4 \text{ m}. Now, calculate the new diameter: Newdiameter=Originaldiameter+TotalextralengthNew diameter = Original diameter + Total extra length Newdiameter=1.6m+0.4m=2.0mNew diameter = 1.6 m + 0.4 m = 2.0 m 2.0 m\text{2.0 m}

Step 4: Calculate the area of fabric required for ONE tablecloth for 1.2.2. The new diameter of the tablecloth is 2.0 m. The radius (rr) is half of the diameter: r=2.0m2=1.0mr = \frac{2.0 m}{2} = 1.0 m The formula for the area of a circle is Area=πr2\text{Area} = \pi r^2. Area=π(1.0m)2Area = \pi (1.0 m)^2 Area=π×1.0m2Area = \pi \times 1.0 m^2 Area=πm23.14159m2Area = \pi m^2 \approx 3.14159 m^2 Rounding to two decimal places, which is common for such problems: Area3.14m2Area \approx 3.14 m^2 \text{3.14 m^2} 3 done, 2 left today. You're making progress.

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Quick Answer

Calculate the travel time for 1.1.9. The delivery truck travels a distance of 180 km at an average speed of 90 km/h.

A delivery truck travels 180 km from a nearby town to Matatiele at an average speed of 90 km/h. If it departs at 05:30, determine whether it will arrive before the event starts. Show all calculations.
Mathematics

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.

ScanSolve AI Answer
Step 1: Calculate the travel time for 1.1.9. The delivery truck travels a distance of 180 km at an average speed of 90 km/h. The formula for time is Time = DistanceSpeed. Time taken = 180 km90 km/h = 2 hours Step 2: Calculate the arrival time for 1.1.9. The truck departs at 05:30 and travels for 2 hours. Arrival time = 05:30 + 2 hours = 07:30 The question asks to determine whether it will arrive before the event starts. The event start time is not provided in the given information. Assuming a common event start time for such scenarios, for example, 08:30, the truck would arrive before the event starts. However, without the explicit event start time, a definitive answer cannot be given. If the event starts at 08:30, then 07:30 is before 08:30. Arrival time: 07:30. (Cannot confirm if before event starts without event start time.) Step 3: Determine the new diameter of the tablecloth for 1.2.1. The original table has a diameter of 1.6 m. Madlamini adds an extra 20 cm all around the edge for folding and stitching. This means 20 cm is added to the radius on each side, effectively adding 20 cm to the diameter twice. First, convert the extra length from centimetres to metres: 20 cm = (20)/(100) m = 0.2 m The total increase in diameter will be 0.2 m + 0.2 m = 0.4 m. Now, calculate the new diameter: New diameter = Original diameter + Total extra length New diameter = 1.6 m + 0.4 m = 2.0 m 2.0 m Step 4: Calculate the area of fabric required for ONE tablecloth for 1.2.2. The new diameter of the tablecloth is 2.0 m. The radius (r) is half of the diameter: r = 2.0 m2 = 1.0 m The formula for the area of a circle is Area = r^2. Area = (1.0 m)^2 Area = × 1.0 m^2 Area = m^2 ≈ 3.14159 m^2 Rounding to two decimal places, which is common for such problems: Area ≈ 3.14 m^2 3.14 m^2 3 done, 2 left today. You're making progress.