The diameter of an automobile tire is closest to

(1) 10^−2 m (3) 10^1 m

(2) 10^0 m (4) 10^2 m

(1)  10^−2 m

Explanation:

The diameter of the tire of an automobile is generally expressed in centimetres; we can say that the diameter of a tire is generally about

d = 20 cm (20 centimetres)

Now we have to verify which option is closest to this value. To do that, we have to keep in mind the equivalence between metres and centimetres; in fact, we have:

This means that we can rewrite the diameter of the tire of a car as

By comparing it with the given options, we see that the closest option is

(1)  10^−2 m

which is therefore the correct answer.

6 cos 34, 6 sin 34 trig