You walk 45 m to the north. You then turn 160° to your right and walk another 45 m. Finally you go 10 m due west. How far are you from where you originally started?

And the angle would be:

So the final position would be 79.880m and with an angle of Southwest

Explanation:

For this case we can use the method of components to solve this problem. And we have the following info given.

Now we can find the components for each vector like this:

Now we can find the net vectors on x and y:

And the resultant position would be:

And the angle would be:

So the final position would be 79.880m and with an angle of Southwest

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas

because if the tool that you are using is not balanced it there would be false mass.