What is the diameter of a tire in inches given the following data: P265/90R22 (25.4mm/ inch) a) 499 inches b) none of the other
choices c) 31.39 d) 40.78 inches
1 answer:
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Answer:
Step-by-step explanation:
Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.
We got our toots, let's split the denominator now:
Now it's all a matter of writing down what we need:
Here comes the fun part. Two ways: the fast and loose, and the long one.
<u>Fast and loose</u>: let's look only at the numerators of the 3rd to last and first step: If we plugged a convenient value, let's say
the coeffcent of A would disappear, and we would be able to find B. Let's do it.
At this point we have B, let's pick a different value of x, let's say 1, to get A:
<u>More traditional: </u>Pick the first and last numerators: . Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base
Again, is a solution.
Either way, the solution is: