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On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*[sqrt(t-9)] for t>9, where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
a) 17 b) 21.25 c) 12.25 d) 14.05
Read Solution (Total 3)
-
- radius=7mm
so,diameter(d)=14mm
putting the value of d in given formula
d=4*sqrt(t-9)
or, 14=4*sqrt(t-9)
or, t=21.25
ans:21.25 - 13 years agoHelpfull: Yes(23) No(1)
- radius= 7mm ===> diameter = 2*7 = 14mm
d=4*sqrt(t-9)
14= 4*sqrt(t-9)
14/4= sqrt(t-9)
3.5= sqrt(t-9)
squaring both sides to remove the sqrt
12.25= t-9
12.25+9= t
21.25 =t
ans: c option - 13 years agoHelpfull: Yes(6) No(0)
- give that
d=4[sqrt(t-9)] for t>9
2*r=4[sqrt(t-9)}
(2*7)/4=sqrt(t-9)
t=21.25
option c is correct - 10 years agoHelpfull: Yes(0) No(0)
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