Question #57f90

1 Answer
Nathan L.
Jul 10, 2017

#(1color(white)(l)"m")/(1.0936color(white)(l)"yd")# and #(1color(white)(l)"yd")/(0.9144color(white)(l)"m")#

Explanation:

Let's derive them:

Wishing dimensional analysis, we can convert (1) from meters to yards and (2) from yards to meters:

#1cancel("m")((100cancel("cm"))/(1cancel("m")))((1cancel("in"))/(2.54cancel("cm")))((1color(white)(l)"yd")/(36cancel("in"))) = color(red)(1.0936# #color(red)("yd"#

So the first conversion factor is

#(1color(white)(l)"m")/(1.0936color(white)(l)"yd")#

Another conversion factor can be derived by taking the inverse of the number we just found:

#1/1.0936 = 0.9144#

So we also have (the reverse conversion factor):

#(1color(white)(l)"yd")/(0.9144color(white)(l)"m")#

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