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.
Answer:
1 / 18
Step-by-step explanation:
In a roll of two dice :
Number of faces on a dice = 6
Total sample space for 2 6-sided dice = (number of faces)^Number of dice = 6^2 = 36
Total possible outcomes = 36
Required outcome = sum of 11
11 = {(5,6) ; (6, 5)}) = 2 possibilities
Probability = required outcome / Total possible outcomes
P(obtaining a sum of 11) = 2 / 36 = 1/18
Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
Answer:
6 m
Step-by-step explanation:
The volume of a cone is found by 
, so we can plug the values in to get 6pi * r^2 / 3 = 72pi, or 6pi * r^2 = 216 pi, so r^2 = 36 and the radius is 6 m.
