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galina1969 [7]
3 years ago
9

Simon Whitfield Victoria, British Columbia, won the men's triathlon at the Sydney Olympics. The race consisted of 1.5 km swim in

Sydney harbour, a 40 km bike ride, and a 10km run.
A) what percent is each component ?

B) what percent of the race distance is spent on land?

(P.s all these questions are from a text book and are question I don't understand, so pleases explain your answer.)

:)
Mathematics
1 answer:
Over [174]3 years ago
5 0

Total triathlon distance →1.5 km + 40km  + 10 km = 51.5 km

So 51.5 km represents 100% of distance covered.

The % of each component = (distance of component/Total distance) multiplied by 100% so :

% of swim → (1.5 / 51.5) × 100 → 0.029 × 100 = 2.9%

% of bike ride → (40 / 51.5) × 100 →0.776 × 100 = 77.6%

% of  run → (10 / 51.5) × 100 → 0.194 × 100 = 19.4%

Percentage spent on land  will be

(40 km bike ride + 10 km run / Total triathlon distance) multiplied by 100%

(50 / 51.5) × 100 → 0.970 ×100 = 97%


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Complete Question:

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(d) See attachment for triangle

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(a) Choose a length between 5 cm and 15 cm

Length =4cm <em>--- This is solely up to you (you can make use of any length between 5 cm and 15 cm)</em>

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The scale factor (k) is calculated as:

k = \frac{New\ Length}{Old\ Length}

k = \frac{4cm}{8cm}\\

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k = \frac{New\ Length}{Old\ Length}

The old lengths, in this case are: 3cm, 4cm and 5cm

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New\ Length = k * Old\ Length

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New\ Length = 0.5 * 3cm = 1.5cm

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New\ Length = 0.5 * 5cm = 2.5cm

So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

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