Answer:
672 ways
Step-by-step explanation:
The total number of ways the friends were supposed to sit without restrictions would have been = 6!
= 720 possible ways.
If the girs should sit on the first or last sit
The possible arrangement= 2!4!
= 2*24
= 48
But now the two girls should be arranged in such a way that the don't sit on either the first or the last chair.
So the possible way now is= way without restriction - way if the girls are to sit at either first or last sit
= 720-48
= 672
Answer:
the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is <em>0.125</em>.
Step-by-step explanation:
The given information is:
- length of the hour hand, l = 6 inches
- length of the minute hand, b = 8 inches
Therefore, since the tip of the minute moves from 12 to 3, it moved a distance of:
s₁ = r θ
s₁ = (8)(π/2)
s₁ = 4π inches
The hour hand moves 30 degrees / 60 = 1/2 degree in a minute.
Therefore, in 30 minutes the hour hand moves a distance of:
s₂ = r θ
s₂ = 6(30×1/2×π/180)
s₂ = π/2 inches
Therefore, the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is:
s₂ / s₁ = (π/2) / 4π
<em>s₂ / s₁ = 0.125</em>
Answer: k=6
Step-by-step explanation:
28-k=22 |-28
-k=-6 |*-1
k=6
