Question

H is directly proportional to the square root of p h=5.4 when p=1.44 find h when p=2.89

Answer 1

H = 7.65

I hope it helps

`h \: = √(p) \\ h \: = k √(p) .....(1) \\ when \: h \: = 5.4 \: p = 1.44 \\ 5.4 = k \: √(1.44)`

`5.4 = 1.2k \\ divide \: both \: sides \: by \: 1.2 \\ k \: = 4.5`

`h \: = 4.5 √(p) = \: formula \: connecting \: h \: and \: p \\ from \: equation \: .....(1) \\ when \: p \: = 2.89 \: h = \\ when \: p \: = 2.89 \: h \: = \\ h \: = 4.5 √(2.89) \\ h =`

`h \: = 4.5 √(2.89) \\ h = 4.5 * 1.7 \\ h \: = 7.65`

Answer 2

h=7.65

Explanation:

h=k√p

k=h/√p

k=5.4/√1.44

k=4.5

h=4.5√p

when p=2.89

h=4.5√2.89

h=7.65