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Darina [25.2K]
3 years ago
12

W varies jointly as X and Y and inversely as the square of Z. If W=280 when X=30, Y=12, and Z=3, find W when X=20, Y=10, and Z=2

.​
Mathematics
2 answers:
algol [13]3 years ago
6 0

Hello! Its Me! :)

Answer:

The answer is 350.

Step-by-step explanation:

The joint variation of W with x, y and z may be expressed as follow,                                    W = kxy / z²where k is the constant of variation. Substituting the first set of values for the variables,                                   280 = k(30)(12) / 3²The value of k from the equation is 7. Substituting to the same equation the values of the next set of variables,                                      w = (7)(20)(10) / 2² = 350

Pavlova-9 [17]3 years ago
5 0

Answer:

W = 350

Step-by-step explanation:

W varies jointly as X and Y and inversely as the square of Z.

That means W ∝ \frac{XY}{Z^{2} }

Or W = \frac{kXY}{Z^{2} }

Where k is the proportionality constant.

Now as per statement we will plug in the values

W = 280, X = 30, Y = 12 and Z = 3 to find the value of constant k

280 = \frac{k(30)(12)}{3^{2} }

k = \frac{280\times 9}{360}

k = 7

Now we plug in the values

X = 20, Y = 10, Z = 2 and K = 7 to find the value of W.

W = \frac{7\times 20\times 10}{2^{2} }

   = \frac{1400}{4}

   = 350

Therefore, W = 350 is the answer.

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