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The closest flying fox roost site is the Mount Ommaney – Westlake Drive
Distance between roost site A and B
= 4.3cm x 150 000
= 645 000 (÷100 000)
= 6.45km
Therefore, the distance between roost site A and B is 6.45km
i. 131mm
ii. 13.1cm = 131mm
= 131 : 150 000
= 131 x 150 000
= 19 650 000 (÷10 000)
= 1965 km
Therefore, the measurement in kilometres in 1965 km
iii. total distance of round trip = 1965 x 2
= 3930 km
Therefore, the total distance of the round trip in 3930 km
iv. speed = distance/time (Let 1.5 hours = 90 minutes)
= 3930/90
= 43.666…
= 43.67 km/h (2dp)
Therefore, the average speed of the cruise boat is 43.67 km/h
1cm = 150 000cm
1km = 900 000cm (÷150 000)
= 6cm
Therefore, the radius is 6cm
If Gracie, the grey- headed flying fox averages a travel distance of 9km out from the Indooroopilly roost site she could possibly visit;
The GAP, Riaweena St
Enoggera creek Herston
East Brisbane, Norman Creek
Mount Ommaney – Westlake Drive
Sunny Bank (Les Atkinson Park)
Let there be a total of 19 roost site (Hectare ÷ 100 = kilometres)
19 x 3.5
= 66.5 hectares (÷100)
= 0.665 square kilometres
Therefore, the total area covered by roost site is 0.665 square kilometres
L = 19cm (x 150 000) = 2 850 000
W = 17.6cm (x 150 000) = 2 640 000
Area = 2 850 000 x 2 640 000
To metres= (÷100)
= 2 850 000 ÷ 100 = 28 500
= 2 640 000 ÷100 = 26 400
Area = 28 500 x 26 400
To km = (÷1000)
= 28 500 ÷1000 = 28.5
= 26 400 ÷1000 = 26.4
Area in km2= 28.5 x 26.4
= 752.4 km2
Therefore, the total area of the metropolitan area is approximately 752.4km2
e/f ×100=0.665/752.4 ×100
= 0.08838…
≈0.09% (round to 2dp)