Answer:
About 90.73 meters/min.
Step-by-step explanation:
Dimensional analysis is done by multiplying the wanted unit over the current unit in equal measure, or the other way around.
First, we will convert feet to meters, using that 1 ft = .4048 m.
32ft/6.45sec * .3048m/1ft = 32/6.45sec * .3048m = 9.7536m/6.45 sec.
Second, we convert seconds to minutes, using that 60 sec = 1 min.
9.7536m/6.45sec * 60sec/1min = 9.7536*60m/6.45min ≈ 90.7311627m/min.
Answer:
6 mph
Step-by-step explanation:
Use formula
where
D = distance
r = rate
t = time
In your case,
D = 12 mi
<u>Dina:</u>
D = 12 mi
r = 8 mph
t = ?
So,
<u>Masha:</u>
D = 12 - 3 = 8 mi
r = ?
t = 1.5 hours
Then
<span>let:
X = the distance of the bottom of the ladder from the wall at any time
dX/dt = rate of travel of the bottom of the ladder = 1.1 ft/sec
A = the angle of the ladder with the ground at anytime
dA/dt = rate of change of the angle in radians per second
X = 10 cos A
dX/dt= -10 sin A dA/dt = 1.1
dA/dt = -1.1/(10 sinA)
When X = 6; cosA = 6/10; sinA = 8/10
Therefore:
dA/dt = -1.1/(10 x 0.8) = -0.1375 radiant per second. </span>
Answer:
x = 3.5 is not a solution
Step-by-step explanation:
3x +2 < 12
Subtract 2 from each side
3x +2-2 < 12-2
3x< 10
Divide each side by 3
3x/3 <10/3
x < 10/3
x <3.3333333
Any number greater than 3.3333 is not a solutions
3.5 is not a solution
