Answer:
π/8 radians
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?
SOLUTION
✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.
Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)
Within the 1hour minutes, the hand can move with complete cycle of 2π radians
Then At time t= 45minutes
Angle through the circle at 45 minutes= 45/60 ×2π radians
= 3π/2 radians
And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians
For t=45 minutes
Then 1/12 × 2π ×45/60
= π/8 radians
Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.
Answer:
$144.50/8.50 = n
Explanation:
The word each indicates this equation will use division. We know the total is 144.50, so that will be the number being divided. 8.50 is the number 144.50 is divided by. The quotient will be represented by the variable, n.
Answer:
Step-by-step explanation:
- 6x = 5x + 222
- 222 = 5x + 6x
11x = - 222
x = - 222 : 11
x = - 222/11
Answer:
15
Step-by-step explanation:
5 ! = 120
Since 5 ! = 5 × 4 × 3 × 2 × 1, then
5 × 3 = 15 is the greatest odd factor of 5 !
Answer:
h = 
Step-by-step explanation:
Given
bh + hr = 25 ← factor out h from each term on the left side
h(b + r) = 25 ← divide both sides by (b + r)
h =
