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5.1.1 Identify which view of the bakkie is represented by the dimensions 1 815 mm × 1 860 mm - NSC Mathematical Literacy - Question 5 - 2022 - Paper 2

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5.1.1 Identify which view of the bakkie is represented by the dimensions 1 815 mm × 1 860 mm. 5.1.2 Calculate the value of D (the space between the sides of the bak... show full transcript

Worked Solution & Example Answer:5.1.1 Identify which view of the bakkie is represented by the dimensions 1 815 mm × 1 860 mm - NSC Mathematical Literacy - Question 5 - 2022 - Paper 2

Step 1

Identify which view of the bakkie is represented by the dimensions 1 815 mm × 1 860 mm.

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Answer

The dimensions 1 815 mm × 1 860 mm correspond to the rear view of the bakkie. This is evident as the height and width match the measurements provided for the back view in the specifications.

Step 2

Calculate the value of D (the space between the sides of the bakkie and the side walls of the garage) if the bakkie is parked exactly in the middle of the garage.

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Answer

The width of the garage is 3.6 m (or 3 600 mm). The width of the bakkie is 1 860 mm. The space on either side, D, can be calculated as follows:

  1. First, convert the width of the garage and bakkie to mm:
    • Total space in garage: 3 600 mm
    • Width of bakkie: 1 860 mm
  2. Calculate the total remaining width in the garage:
    • Remaining space = 3 600 mm - 1 860 mm = 1 740 mm
  3. Since the bakkie is parked in the middle, the value of D is half the remaining space:
    • D = 1 740 mm / 2 = 870 mm.

Step 3

Letitia needs to choose a colour and window tint. State how many different choices there are for this bakkie.

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Answer

Letitia has four options for the bakkie colours: white, black, blue, and green. For the window tint, there are two options: 35% or 50%. To find the total number of different choices, multiply the number of colour options by the number of tint options:

Total choices = Number of colours × Number of tints = 4 × 2 = 8 choices.

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