One gear turns 33\frac{1}{3} times in a minute. another gear turns 45 times in a minute. initially, a mark on each gear is pointing due north. after how many seconds will the two gears next have both their marks pointing due north?

The first time they will both have completed full rotations is 3×5=15 Thus 15×1.8=27 rotations & 15×1 and 1/3=20 rotations.

Step-by-step explanation:

33 1/3 gear takes 1.8 sec to make one revolution and the 45 gear takes 1 and 333 seconds per revolution.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft

the answer would be c