John's father is 5 times older than John
F = 5J
John is twice as old as his sister Alice.
J = 2A or A = .5J
In two years time, the sum of their ages will be
58.F+2 + J+2 + A+2 = 58F + J + A + 6 = 58
F + J + A = 58 - 6
F + J + A = 52:
How old is John now?:Substitute for F & A
5J + J + .5J = 52
6.5J = 52
J = 52/6.5
<span>J = 8 yrs
John is 8 years old</span>
Answer:
what......................
I'm guessing the angle is supposed to have measure 60º, not 600º... In this case,
![\dfrac\ell{2\pi(21\,\mathrm m)}=\dfrac{60^\circ}{360^\circ}](https://tex.z-dn.net/?f=%5Cdfrac%5Cell%7B2%5Cpi%2821%5C%2C%5Cmathrm%20m%29%7D%3D%5Cdfrac%7B60%5E%5Ccirc%7D%7B360%5E%5Ccirc%7D)
That is, the length of the arc we care about
occurs with the circle's circumference in the same ratio as the measure of the central angle it subtends occurs with one complete revolution of the circle. Then with
, we have
![\dfrac\ell{132\,\rm m}=\dfrac16\implies\ell=22\,\mathrm m](https://tex.z-dn.net/?f=%5Cdfrac%5Cell%7B132%5C%2C%5Crm%20m%7D%3D%5Cdfrac16%5Cimplies%5Cell%3D22%5C%2C%5Cmathrm%20m)
so the answer is C.
1/√6 - √11 + √5
LCM = √6
(1 - (√6)*(√11) + (√5)*(√6) ) / √6
(1 - √(6*11) + √(5*6) )/ √6
Rationalize the surd by multiplying top and bottom by √6
((1 - √(6*11) + √(5*6) )/ √6) * (√6/√6)
(√6 - √(6*6*11) + √(5*6*6)) / √6
(√6 - 6√(11) + 6√(5)) / 6
So answer is:
(√6 - 6√11 + 6√5) / 6