Find X:
38=(3x+4)+(5x-6)
combine like terms
38=8x-2
add 2 to both sides
40=8x
divide both sides by 8
5=x
Find AB:
16=3x+4
subtract 4 from both sides
12=3x
divide by 3
4=x
Find BC:
16=5x-6
add 6 to both sides
22=5x
divide both sides by 5
Answer:
63 m
Step-by-step explanation:
We are given the following in the question:
Average speed of swimming = 45 m/min
Time = 1 minute 24 seconds
Converting time into minutes:
Formula:
Putting values, we get.
Thus, Alex swims for 63 m in 1 minute and 24 seconds.
Answer:
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Answer:
Angular velocity: 
(
)
Linear velocity: 
(
)
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular (
), in radians per second, and linear velocities (
), in inches per second, of a point on the outer edge of the element are, respectively:
(1)
(2)
Where:
- Rotation rate, in revolutions per minute.
- Radius of the gear, in inches.
If we know that 
and 
, then the linear and angular velocities of the gear are, respectively:
()
()
Answer:
the 3rd
Step-by-step explanation:
