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Name one street that is parallel to Harrison Street.

Mathematics

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Answers

3 parts
b(i)

Simmonds Street\text{Simmonds Street}

b(ii)

Fraser Street\text{Fraser Street}

b(iv)

4.5 km4.5 \text{ km}

Step-by-step solution

12 steps

Part b(i)· 2 steps

  1. Locate Harrison Street on the map.

    It runs in a North-South direction.

  2. Identify other streets that also run in a North-South direction and are parallel to Harrison Street.

    One such street is Simmonds Street.
    Another example is Fraser Street.
    Answer: Simmonds Street\boxed{\text{Simmonds Street}}

Part b(ii)

Fraser Street\text{Fraser Street}

  1. Locate President Street on the map.

    It runs in an East-West direction.

  2. Identify streets that run in a North-South direction, as these would be perpendicular to President Street.

    One such street is Fraser Street.
    Another example is Sauer Street.
    Answer: Fraser Street\boxed{\text{Fraser Street}}

Part b(iii)· 4 steps

Thabo is at the Department of Labour (marked with an 'X' on Diagonal Street). He wants to go to the Rissik Street Post Office (marked with a small black square on Rissik Street, between President and Market Streets).
Since I cannot draw on the map, I will describe a possible path:

  1. From the Department of Labour (X), walk East along the unnamed street (which is between Kerk and Pritchard Streets) until you reach Sauer Street.

  2. Turn South onto Sauer Street and walk until you reach President Street.

  3. Turn East onto President Street and walk until you reach Rissik Street.

  4. Turn South onto Rissik Street and walk until you reach the Post Office (the black square).

Part b(iv)

4.5 km4.5 \text{ km}

  1. Estimate the number of blocks Thabo walks based on the path described in (iii).

    • East along the unnamed street to Sauer Street: Approximately 0.5 blocks.
    • South on Sauer Street from the unnamed street to President Street: 1 block (from the level of Pritchard Street to President Street).
    • East on President Street from Sauer Street to Rissik Street: 4 blocks (Sauer →\to Fraser →\to Simmonds →\to Harrison →\to Rissik).
    • South on Rissik Street from President Street to the Post Office: Approximately 0.5 blocks (the Post Office is between President and Market Streets). Total blocks walked = 0.5+1+4+0.5=60.5 + 1 + 4 + 0.5 = 6 blocks.
  2. Estimate the length of one block on the map.

    Visually, the distance between two adjacent parallel streets (e.g., President and Market, or Harrison and Simmonds) is approximately 1.5 cm1.5 \text{ cm} on the map.

  3. Calculate the total distance walked on the map.

    Distance on map=6 blocks×1.5 cm/block=9 cm\text{Distance on map} = 6 \text{ blocks} \times 1.5 \text{ cm/block} = 9 \text{ cm}
  4. Use the given scale to convert the map distance to actual distance.

    The scale is 1 cm=12 km1 \text{ cm} = \frac{1}{2} \text{ km}.

    Actual distance=9 cm×12 km/cm=4.5 km\text{Actual distance} = 9 \text{ cm} \times \frac{1}{2} \text{ km/cm} = 4.5 \text{ km}

    Thabo walks approximately 4.5 km\boxed{4.5 \text{ km}}.

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