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The height of a 0.5-liter orange juice box with a square base is a function of the width of its base,



[tex]h=\frac{500}{w^2}[/tex]



where w is the width of the base in centimeters. Find the width of the juice box if its height is 20 centimeters.



w =_____cm

Respuesta :

Answer:

5 cm

Step-by-step explanation:

It is given in the question that height and width of the orange juice box are related as:

[tex]h=\frac{500}{w^{2}}[/tex]

We have to find the width when h=20 cms

[tex]20=\frac{500}{w^{2}}[/tex]

[tex]w^{2}=\frac{500}{20} =25 (cm)^{2}[/tex]

∴w=±5 cm

But width cant be negative,hence w=5 cm.

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