mathcounts problem 262 and 263

Mathematics
Tutor: None Selected Time limit: 1 Day

1.If (a+b)^c=1024 for postive integers a<b<c, what is the value of b?

2.The time t seconds,that it takes for a rock to fall a distance,d meters,is about t=.45 square root of d.How many seconds does it take a rock to fall 200 m?Answer to nearest tenth.

Nov 1st, 2014

a=1 b=3 c=5 

(1+3)^5  =4^5 = 4*4*4*4*4=1024

b=3

t =0.45 sqrt(d)

when d=200

t =0.45*sqrt(200)=0.45*10*sqrt(2) =4.5 *1.414 =6.36961 =6.4 seconds

Nov 1st, 2014

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Nov 1st, 2014
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Nov 1st, 2014
Dec 6th, 2016
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