A roller skater was skating on a road. The skater covered some distance before coming to a stop. The number of rotations of the skating wheel was found to be 6. If the radius of the wheel is 10 cm, find the distance covered by the skater (in cm). Leave the answer in terms of pi.

The distance covered by the skater is 120π cm.

Step-by-step explanation:

Since we have given that

Radius of wheel = 10 cm

Number of rotations of the skating wheel = 6

According to question, we get that

Hence, the distance covered by the skater is 120π cm.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x