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A programme inspiring people of all ages and genders usually ends with a fashion show - NSC Mathematical Literacy - Question 4 - 2023 - Paper 2
Question 4
A programme inspiring people of all ages and genders usually ends with a fashion show. ANNEXURE B shows the layout of the runways and the seating arrangements at th... show full transcript
Worked Solution & Example Answer:A programme inspiring people of all ages and genders usually ends with a fashion show - NSC Mathematical Literacy - Question 4 - 2023 - Paper 2
Step 1
4.1.1 Write, in simplified form, the ratio of the width to the length of the raised runway.
Answer
To find the ratio of the width to the length of the raised runway, we first identify the width as 4 feet. The length can be derived from the provided information. Using the ratio,
ext{Ratio} = rac{4 ext{ feet}}{24 ext{ feet}} = rac{1}{6}
Thus, the simplified form of the ratio is .
Step 2
4.1.2 Convert the length of the floor runway to metres.
Answer
Given the length of the floor runway is 54 feet, we convert this to metres using the provided conversion factor:
ext{Length in metres} = rac{54 ext{ feet}}{3.28084} egin{aligned}= 16,459199... ext{ m} ext{ (approximately)} \\ ext{So,} ext{ the length of the floor runway is } 16,46 ext{ m.} \\ ext{} \\ ext{} \\ ext{(rounded to two decimal places)} \\ ext{} \\ 16,46 ext{ m} ext{ (rounded using decimal places.)} ext{ } \\ ext{} \\ ext{ } ext{ 16.46 m.}
Step 3
4.1.3 Give a possible reason for EACH of the following:
Answer
4.1.3 (a) The second- and third-row seats are not arranged exactly behind the first-row seats as this arrangement mitigates obstruction caused by the first-row spectators.
4.1.3 (b) There is a gap between the two runways to allow for safe passage of people and to avoid potential collisions.
Step 4
Step 5
4.1.4 (b) Determine the maximum length allocated to each person seated around the round table.
Answer
First, calculate the circumference of the round table: Then, to find the maximum length allocated to each person seated around the round table: ext{Length per person} = rac{5,7460896 ext{ m}}{10} = 0,57460896 ext{ m}.