If 360 = 20 L^1/2 K^1/2 How much is K and L = to?

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If 360 = 20 L^1/2 K^1/2 How much is K and L = to?

Lets say that K = 2.25 L

2006-12-04 18:17:03 · 2 answers · asked by Dave 6 in Science & Mathematics ➔ Mathematics

Jimbo...you are right!

2006-12-05 02:17:33 · update #1

2 answers

360 = 20*sqrt(L*K)

18 = sqrt(L*K)

324 = L*K

Given K = 2.25L

324 = 2.25L^2

L^2 = 144

L = 12 and K = 27

OR L= -12 and k= -27

2006-12-04 18:39:38 · answer #1 · answered by Jimbo 5 · 0⤊ 0⤋

360 = 20 (L^1/2)(K^1/2)
If K = 2.25...Plug it in...
360 = 20 (L^1/2) ((2.25)^1/2))
Solve for L:
180 = (L^1/2) ((2.25)^1/2))
180 = (L^1/2) (1.5)
120 = L^1/2
14400 = L
2.25 = K

Hope this helps!
10 points for best answer?

2006-12-04 18:37:10 · answer #2 · answered by Cynyeh 3 · 0⤊ 0⤋