Photo AI

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 feet tall - NSC Mathematical Literacy - Question 4 - 2018 - Paper 2

Question icon

Question 4

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-feet-tall-NSC Mathematical Literacy-Question 4-2018-Paper 2.png

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 f... show full transcript

Worked Solution & Example Answer: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 feet tall - NSC Mathematical Literacy - Question 4 - 2018 - Paper 2

Step 1

4.1.1 Calculate total of occupants for Capsule 24 and Capsule 30

96%

114 rated

Answer

To find the total occupants in Capsule 24 and Capsule 30, we can add the number of adults, children, and senior citizens for both capsules:

  • Capsule 24: 18 adults + 7 children + 0 senior citizens = 25 occupants
  • Capsule 30: 10 adults + 1 child + 5 senior citizens = 16 occupants

Total = 25 (Capsule 24) + 16 (Capsule 30) = 41 occupants

Now, calculating the ticket prices:

  • Adults' tickets: 18 adults × £27 = £486
  • Children's tickets: 7 children × £22 = £154
  • Senior citizens' tickets: 5 seniors × £25.50 = £127.50

Total ticket price = £486 + £154 + £127.50 = £767.50

Converting to Rand:

£767.50 × R16.58 = R12,727.85

Since R12,727.85 is less than R18,400, the statement is NOT correct.

Step 2

4.1.2(a) Calculate the circumference of the wheel

99%

104 rated

Answer

To calculate the circumference of the wheel:

Using the formula:

Circumference=2×π×radiusCircumference = 2 × π × radius

Given that radius = 197 feet,

Circumference=2×3.142×197Circumference=1237.49extfeetCircumference = 2 × 3.142 × 197 \\ Circumference = 1237.49 ext{ feet}

Step 3

4.1.2(b) Calculate the distance between two capsules

96%

101 rated

Answer

The distance between any two capsules can be determined by dividing the circumference by the number of capsules:

Distance=CircumferenceNumber of CapsulesDistance=1237.49extfeet32≈38.67extfeetDistance = \frac{Circumference}{Number \ of \ Capsules} \\ Distance = \frac{1237.49 ext{ feet}}{32} \approx 38.67 ext{ feet}

To convert this to meters:

Distance=38.67extfeet3.28≈11.79extmetres≈12extmetres(rounded)Distance = \frac{38.67 ext{ feet}}{3.28} \approx 11.79 ext{ metres} \approx 12 ext{ metres (rounded)}

Join the NSC students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;