A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 4 apparel items will be manufactured, how many units of fabric should be ordered?

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

32 units of fabrics

Step-by-step explanation:

Given

Required

Find f when a  = 4

Substitute 4 for a

Rewrite as:

Square both sides

Collect Like Terms

Divide through by 2

Square both sides

Collect like terms

Factorize

or

f can not be 0 because some units must be ordered.

So, f = 32

answer for #1 is c

answer for #2 is d

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d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: