A copper wire is to have a length of 16 cm with a tolerance of 0.02 cm. How much must be trimmed from a wire that is 18 cm long for it to meet specifications?

Respuesta :

Answer:

Length of 18 cm long wire that must be trimmed to meet specifications can be at least 1.98 cm but not more than 2.02 cm

Step-by-step explanation:

Given: Length of copper wire should be 16 cm with a tolerance of 0.02 cm

To find: length of 18 cm long wire that must be trimmed to meet specifications

Solution:

As length of copper wire should be 16 cm with a tolerance of 0.02 cm, length of wire can be [tex]16+0.02=16.02\,cm\,,\,16-0.02=15.98\,cm[/tex]

In order to find length [tex]l[/tex] of wire that can be trimmed to meet specifications, solve the following:

[tex]18-16.02\leq l\leq 18-15.98\\1.98\leq l\leq 2.02[/tex]

So,

length of 18 cm long wire that must be trimmed to meet specifications can be at least 1.98 cm but not more than 2.02 cm