Makilanprecyviz
Answered

t varies directly as m and inversely as the square of n. if t=16 when m=8, n=2. find t when m=13 and n=3

Sagot :

Shinalcantaraviz
[tex]T = \frac{m}{n^2} k [/tex]
[tex]16 = \frac{8}{2^2} k[/tex]
[tex]k = 8[/tex]
substituting the given values m=13, n=3 where k=8
[tex]T = \frac{m}{n^2} k[/tex]
[tex]T = \frac{13}{3^2} (8)[/tex]
[tex]T = \frac{104}{9} [/tex]
[tex]T = 11.56[/tex]