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ANNEXURE D shows photographs of the London Eye, which is a *Ferris wheel - NSC Mathematical Literacy - Question 4 - 2018 - Paper 2

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ANNEXURE D shows photographs of the London Eye, which is a *Ferris wheel. The following information represents features of the Ferris wheel: - The structure is 443... show full transcript

Worked Solution & Example Answer:ANNEXURE D shows photographs of the London Eye, which is a *Ferris wheel - NSC Mathematical Literacy - Question 4 - 2018 - Paper 2

Step 1

4.1.1 Calculate the total number of occupants in Capsule 24 and Capsule 30

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Answer

The total number of occupants in Capsule 24 is calculated as follows:

  • Adults: 18
  • Children: 7
  • Senior Citizens: 5

Total for Capsule 24 = 18 + 7 + 5 = 30

The total number of occupants in Capsule 30 is calculated as follows:

  • Adults: 10
  • Children: 1
  • Senior Citizens: 5

Total for Capsule 30 = 10 + 1 + 5 = 16

Hence, the total number of occupants for both capsules = 30 + 16 = 46.

Step 2

4.1.2 (a) Calculate (in feet) the circumference of the wheel

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Answer

The formula to calculate the circumference is:

Circumference=2×π×radius\text{Circumference} = 2 \times \pi \times \text{radius}

Substituting the values,

Circumference=2×3.142×197\text{Circumference} = 2 \times 3.142 \times 197

Calculating this gives:

Circumference=1237.49 feet\text{Circumference} = 1237.49 \text{ feet}

Step 3

4.1.2 (b) Hence, calculate the distance (to the nearest metre) on the circumference between any TWO capsules right next to each other

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Answer

If the total circumference is 1237.49 feet and there are 32 capsules,

The distance between two adjacent capsules is given by:

Distance=CircumferenceNumber of Capsules=1237.4932\text{Distance} = \frac{\text{Circumference}}{\text{Number of Capsules}} = \frac{1237.49}{32}

Calculating this,

Distance=38.54 feet12 metres\text{Distance} = 38.54 \text{ feet} \approx 12 \text{ metres}

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