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  • 25-11-2019
  • Mathematics
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The force needed to break a board varies inversely with its length. If Tom uses 20 lb of pressure to break a 1.5-ft board, how many po
essure would he need to use to break a 6 -board?​

The force needed to break a board varies inversely with its length If Tom uses 20 lb of pressure to break a 15ft board how many poessure would he need to use to class=

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  • 25-11-2019

If the force F and the length L are inversely proportional, then their product is constant:

[tex]FL=k[/tex]

Given the values F=20 and L=1.5, we can deduce that the constant is

[tex]20\cdot 1.5=30[/tex]

So, given L=6, we can solve for F as follows:

[tex]6F=30 \iff F=5[/tex]

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