4/5 of 75 shared in ratio 2:3
2 answers:
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Answer:
The reduced row-echelon form of the linear system is
Step-by-step explanation:
We will solve the original system of linear equations by performing a sequence of the following elementary row operations on the augmented matrix:
- Interchange two rows
- Multiply one row by a nonzero number
- Add a multiple of one row to a different row
To find the reduced row-echelon form of this augmented matrix
You need to follow these steps:
- Divide row 1 by 2
- Subtract row 1 from row 2
- Subtract row 1 multiplied by 5 from row 3
- Subtract row 2 multiplied by 3 from row 1
- Subtract row 2 multiplied by 3 from row 3
- Multiply row 2 by 2
- Divide row 3 by −19
- Subtract row 3 multiplied by 16 from row 1
- Add row 3 multiplied by 6 to row 2
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
and
That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.