2003-CE paper2

2010-12-07 2:40 am
Ifa=b-1/b-2,then b=?
If 81^x=27^2y and x,y are non zero integers,then x:y
The scale of the map is1:4000.If the actual area of the sport field is 8000m^2.Find the area on the map.

回答 (1)

2010-12-07 3:20 am
✔ 最佳答案
a = (b-1)/(b-2)
a(b-1) = b-2
ab-a = b-2
ab-b = a-2
b(a-1) = a-2
b = (a-2)/(a-1)

81^x = 27^2y
log_3 81^x = log_3 27^2y
x log_3 81 = 2y log_3 27
x(4) = 2y(3)
4x = 6y
x/y = 6/4
x:y = 3:2

Let x cm^2 be the area on the map.
(1/4000)^2 = x/(8000*100*100)
x = 5
The area on the map is 5 cm^2
參考: Knowledge is power.


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