On every 3rd day ivan goes to the gym to exercise. every 5th day gavin goes to the gym to exercise. whtis the first day ivan and gavin will go to the gym at the same time?

Ivan and Gavin will meet 15th day.

Step-by-step explanation:

Given:

On every 3rd Ivan goes to gym and every 5th day Gavin goes to the gym.

We need to find when Ivan and Gavin will go the gym at the same time.

Here we need to find the Least Common Multiple (LCM) of 3 and 5.

3 = 1 * 3

5 = 1 * 5

LCM of 3 and 5 is 1*3*5 = 15

So, Ivan and Gavin will meet 15th day.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

justin bieber ml.