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1. It takes Patrick 4,046 seconds to solve a Sudoku puzzle. Convert the time taken to hours, minutes, and seconds.

2. Convert the cost of €16,940 of a car to rand if the exchange rate is €0.1093 for R1.

3. The capacity of the Gariep Dam is 5,340 million cubic meters.

Answer :

Let's tackle each part of the student's question step-by-step.

  1. Convert 4,046 seconds to hours, minutes, and seconds:

    • To convert seconds into minutes and hours, start by dividing the total seconds by 60 to find the minutes:

    [tex]\text{Minutes} = \frac{4046}{60} \approx 67.4333[/tex]

    • This shows there are 67 full minutes in 4,046 seconds (since we ignore the decimal for full minutes).

    • To find the remaining seconds, use the decimal part (0.4333) and multiply it back by 60:

    [tex]\text{Remaining seconds} = 0.4333 \times 60 \approx 26[/tex]

    • Therefore, 4,046 seconds is equal to 67 minutes and 26 seconds.

    • Next, convert 67 minutes into hours and minutes by dividing by 60:

    [tex]\text{Hours} = \frac{67}{60} = 1.1167[/tex]

    • There is 1 full hour in 67 minutes.

    • The remaining minutes are:

    [tex]\text{Remaining minutes} = 1.1167 \times 60 = 67[/tex]

    • Therefore, the answer is 1 hour, 7 minutes, and 26 seconds.

  2. Convert the cost of €16,940 to rand given the exchange rate €0.1093 for R1:

    • First, determine how many Euros one Rand is equivalent to by taking reciprocals:

    [tex]\text{1 Rand} = \frac{1}{0.1093} \approx 9.1484 \text{ Euros}[/tex]

    • Now, convert €16,940 into Rand by dividing by the Euros per Rand value:

    [tex]\text{Rand value} = \frac{16,940}{0.1093} \approx 154,976.88[/tex]

    • The cost of the car is approximately R154,976.88.

  3. Consider the capacity of the Gariep Dam:

    • The Gariep Dam has a capacity of 5,340 million cubic meters. This means it can hold 5.34 billion cubic meters of water. To put it in perspective, this is equivalent to 5,340,000,000,000 liters (since 1 cubic meter = 1,000 liters).

    • Understanding this volume gives insight into the size and significance of the Gariep Dam as a crucial water reservoir in South Africa. It serves important functions in irrigation, water supply, and hydroelectric power.

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