Translate The Following Into Mathematical Statement., 1. The Number R Of Revolution Per Minute Of A Gear Meshed To Another Varies Inversely, As The Nu
Translate the following into mathematical statement.
1. The number R of revolution per minute of a gear meshed to another varies inversely
as the number T of the teeth in the gear.
2. The number M of men required to do a specific job varies inversely as the hours
required to do the job.
3. The resistance (R) of wires varies inversely as the square of its diameter (D).
4. The variable x varies inversely as the square root of y.
5. The variable a varies inversely as the cube root of y.
Inverse Proportion:
Answer:
1. R = k/T
2. M = k/h
3. R = k/(D)^2
4. x = k/√y
5. a = k/∛y
Step-by-step explanation:
1. Let R represents the revolution per minute of a gear meshed to another and T be the number of teeth in a gear since they are inversely proportional then, there is a constant represented by k. Thus, R = k/T.
2. Let M represents the number of men required to do the job and h be the number of hours needed to finish the job. Since they are inversely proportional, there is a constant that is represented by k. Thus, M = k/h.
3. Let R represents the resistance of wires while D represents the diameter. since they are inversely proportional, there is a constant that is represented by k then R = k/D^2.
4. Given that x varies inversely with the square root of y then, x = k/√y.
5. Given that a varies inversely as the cube root of y then, a = k/∛y.
Read more on
Comments
Post a Comment