A farmer has numbers of animals
in his farm made up of hens and goats.
One morning he counted 20 heads and 66 legs
of the animals. How many hens and
goat were counted by the farmer.
two parallel paths 26m apart run
east−west through the woods.
one person east on one path at
3 kmph and another west on other
path at 4 kmph. if they pass each
other at time t =0 ,
i)how far apart are they
8 sec later?
ii) how fast is the
distance between them changing
at that mlment?
iii)find the distance L
between them at 8 sec and (dL/dt)?
Good day Mr.W, I would have loved
to send this privately to you but
there′s nomeans of doing that. You
assisted me in solving a problem
and the answers are really correct; I
was also understandinv the approach
however some points got me lost.
I′ll be most grateful if you could
help me amplify the solution.
I always appreciate you since I was
here in 2014.
Thank you now and always.
here are some of the issues
i have with the solution.
I thought that in the composite
system the axial load would be
shared among the steel and
concrete thus having a portion
of the load in the steel and
the rest in the concrete, yet
you solved for the stress in
concrete and used the general axial load and
total area and yet your answer
was very correct but i really dont
understand why and how you had to
use the general area and load for
just concrete.
I was also shocked about how the
area of the steel became had α in
it. I thought it would just be ((nπd^2 )/4).
I would lie if I say I dont marvel
at your calculation skills sir.
please explain this method for me.
It is really short and concise.The
other method I know also gave me
the answer you got but its a really long
journey. Please sir, explain in detail
to me. I′m most grateful.
Thanks in advance.
I′ll post the auestion and your previous workings.
8. A number can be expressed as a terminating decimal,if the denominator has factors :
(a) 2,3 or 5
(b) 2 or 3
(c) 3 or 5
(d) 2 or 5
9. Given that : HCF of 2520 and 6600= 120, LCM of 2520 and 6600= 252×k, then the value of k is :
(a) 165
(b) 1625
(c) 550
(d) 600
10. The decimal expansion of the rational number ((47)/(2^4 ×5^(3 ) )) will terminate after :
(a) 3 places
(b) 4 places
(c) 5 places
(d) 1 place
11. The perimeter of two similar triangles ABC and LMN are 60 cm and 48 cm respectively . If LM = 8cm,then lenght of AB is :
(a) 10 cm
(b) 8 cm
(c) 5 cm
(d) 6 cm
12. Ratio in which the line segment joining (1,−7) and (6,4) are divided by x-axis is given as:
(a) 4 :7
(b) 2 : 5
(c) 7 : 4
(d) 5 : 2
13. 119^2 − 111^2 is :
(a) Prime number
(b) Composite number
( c) An odd composite number
(d)An odd prime number
14. Side of square , whose diagonal is 16 cm is given by:
(a) 6(√(2 )) cm
(b) 4(√2) cm
(c) 7(√(2 ))cm
(d) 8(√(2 ))cm