# Mathematics - Finite Mathematics

In the textile industry, filament and yarn sizes are reported in denier which is defined as the mass in grams of a length of 9000 meters. If a synthetic fiber has an average specific gravity of 1.32 and a filament of this material has a denier of 5.0, what is the mass per unit length in pounds-mass per yard? What is the cross sectional area of this fiber in square inches? The specific gravity is defined as specific gravity = density/density of water.

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#### Solution Preview

Denier of the filament material = 5

9000 m of the material weighs 5 g

9000 x 1.094 yards of the material weighs 5 x 0.0022 pounds

9846 yards of the material weighs ...

#### Solution Summary

The expert determines what the cross sectional area of a fiber in square inches using finite mathematics. A complete, neat and step-by-step solution is provided.