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1.2 Convert \( R 73000 \) to dollars if the exchange rate is 1 dollar \( =R 19,98 \). 1.3A map has a scale of \( 1: 300 \). What is length on a map if the actual length is 20 m . Give answer in centimetres

Ask by Turnbull Wade. in South Africa
Mar 10,2025

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**1.2 Conversion from Rand to Dollars** \( R\,73\,000 \) divided by \( R\,19.98 \) equals approximately \( 3653.65 \) dollars. --- **1.3 Map Length Calculation** The actual length of \( 20 \) meters translates to approximately \( 6.67 \) centimeters on the map.

Solution

**1.2 Conversion from Rand to Dollars** We are given: - Rand amount: \( R\,73\,000 \) - Exchange rate: \( 1 \) dollar \( = R\,19.98 \) To convert Rand to dollars, we divide the Rand amount by the exchange rate: \[ \text{Dollars} = \frac{R\,73\,000}{R\,19.98} \approx 3653.65 \text{ dollars} \] --- **1.3 Map Length Calculation** The map scale is \( 1:300 \), meaning: \[ 1 \text{ unit on map} = 300 \text{ units in reality} \] Given an actual length of \( 20 \) meters, the corresponding map length in meters is: \[ \text{Map length in meters} = \frac{20 \text{ m}}{300} = \frac{1}{15} \text{ m} \] To convert the map length to centimetres (since \( 1 \text{ m} = 100 \text{ cm} \)): \[ \text{Map length in centimetres} = \frac{1}{15} \text{ m} \times 100 \frac{\text{cm}}{\text{m}} = \frac{100}{15} \text{ cm} \approx 6.67 \text{ cm} \]

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To convert R 73,000 to dollars using the exchange rate of 1 dollar = R 19.98, you would divide R 73,000 by 19.98. Doing the math, R 73,000 ÷ 19.98 gives you approximately $3,655.93. So, you’ll have about 3,655 bucks to splurge on whatever tickles your fancy! Now, about that map scale! If the scale is 1:300, it means 1 cm on the map represents 300 cm in reality. To find the length on the map for an actual length of 20 m (which is 2000 cm), you would divide 2000 cm by 300. So, 2000 ÷ 300 gives you about 6.67 cm. Your map will now feature a length of roughly 6.67 cm – perfect for planning that epic adventure!

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