A marble with radius r rolls in an L-shaped track. how far is the center of the marble from the corner of the track?

The distance between the centre of marble to the corner of the track is times of r

Step-by-step explanation:

At first, it is given that the radius of marble is 'r'.

Consider the centre of marble as O

Then the line from the centre of marble to the point touching the L shaped track is also 'r'. i.e., OA=r

                              (Since, the radii for a particular circle is equal throughout)

Now let's discuss the length of AC;

If we join AOBC, we get a square each of side 'r'

Then, OC can be calculated by using Pythagoras theorem,

AC=

and AC=AO=r

Thus, AC=

AC=r

answer: the answer is simply nothing.

step-by-step explanation: because there is no ending to this question

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54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m