Question

Question #8da01

Answer 1

See the process down below

Explanation:

First, let's start by converting `65 "cm"` to `"in"`

`1" in"=2.54"cm"`

Set up a conversion factor:

`65cancel"cm"*(1" in")/(2.54cancel"cm")= 25.59 " in"`

Subtract this from the `57" in"`

`57"in"-25.59"in"=31.41" in"`

Rounding this to the nearest `"inch"` we get `31" in"`

P.S. I will also taking Physics in the fall and been planning to prepare now for it now too. Would happen to have any good resources you can pass by?

Answer 2

The answer is indeed `31` `"in."`

Explanation:

What we can do is calculate the number of inches cut off from the `57`-inch board. We know that the part cut off was `65` `"cm"` long, so this value in inches is

`65cancel("cm")((1"in")/(2.54cancel("cm"))) = color(red)(26` `color(red)("in"` (`2` significant figures)

The amount of board remaining is thus

`57` `"in" - color(red)(26` `color(red)("in") = color(blue)(31` `color(blue)("in"`

The only error you made in your calculation is the first conversion, from `"in"` to `"cm"`. The value should be `144.78` `"cm"`, not `54.46` `"cm"`.