Respuesta :
G[tex] \alpha [/tex]HJ
G=kHJ
where k is a constant of proportionality;
when G=4, H=1/2 and J=1/3
Finding value of k,
4=k*1/2*1/3
4=[tex] \frac{1}{6} [/tex]k
k=24
The equation then is;
G=24HJ
When H=2, J=3
G=24*3*2
G=144
G=kHJ
where k is a constant of proportionality;
when G=4, H=1/2 and J=1/3
Finding value of k,
4=k*1/2*1/3
4=[tex] \frac{1}{6} [/tex]k
k=24
The equation then is;
G=24HJ
When H=2, J=3
G=24*3*2
G=144
Answer:
The value of g is 144 when h is 2 and j is 3 .
Step-by-step explanation:
As given
[tex]When\ g\ is\ 4, h\ is\ \frac{1}{2}\ and\ j\ is\ \frac{1}{3} .[/tex]
If g varies jointly with h and j.
[tex]g \propto hj[/tex]
g = khj
Where k is the constant of proportionality.
[tex]When\ g\ is\ 4, h\ is\ \frac{1}{2}\ and\ j\ is\ \frac{1}{3} .[/tex]
Put value in the above
[tex]4 = \frac{k}{2\times 3}[/tex]
[tex]4 = \frac{k}{6}[/tex]
k = 4 × 6
k = 24
As when h = 2 , j = 3 and k = 24 .
Put in the above
g = 2 × 3 × 24
g = 144
Therefore the value of g is 144 when h is 2 and j is 3 .