Answer: At 01:05 p.m. it will overlap again.
Explanation:
Since there are 22 times in a day the minute and the hour hands overlap.
During the first half of the day , it overlaps 11 times and during the rest of the day it overlap 11 more times.
At noon, the minute and the hour hands overlap and after that it will happen at 01:05 p.m.
Since the minute hand completes a full circle in one hour, so it forms 6 degrees per minute .
So, at 01:05 p.m. it will overlap again.
The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .
We start with the relation between ratio of surface area and ratio of corresponding sides. That is

Here x and y are the corresponding sides .

Let the volume of the smaller one be v


So for the smaller solid, volume is 272 . And the correct option is the first option .
Answer: x=120°
Step-by-step explanation:
What you are looking for is the value of the exterior angle of the regular polygon.
For a n-sided regular polygon, the external angle is given by the formula 360°/n.
Because the shape in this example is a regular triangle, the value of n is 3.
360°/n
=360°/3
=120°
Therefore, x=120°