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Solnce55 [7]
3 years ago
15

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

Mathematics
2 answers:
bazaltina [42]3 years ago
5 0

Answer:

h=7.65

Step-by-step 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

olga55 [171]3 years ago
3 0

Answer:

H = 7.65

I hope it helps

h \:  =  \sqrt{p}  \\ h \:  = k \sqrt{p} .....(1) \\ when \: h \:  = 5.4 \: p = 1.44 \\ 5.4 = k \:  \sqrt{1.44}

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

h \:  = 4.5 \sqrt{p}  =  \: formula \: connecting \: h \: and \: p \\ from \: equation \: .....(1) \\ when \: p \:  = 2.89 \: h = \\  when \: p \:  = 2.89 \: h \:  =  \\ h \:  = 4.5 \sqrt{2.89}  \\ h =

h \:  = 4.5 \sqrt{2.89}  \\ h = 4.5 \times 1.7 \\ h \:  = 7.65

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