Find the equation of the line normal to the curve of y=cos1/3x, where x=pi
1 answer:
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Answer:
One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.
Step-by-step explanation:
Given:
Both the system can complete the job = 9 minutes
We need find the time required by each system to do the job.
Solution:
Let the time required by another watering system to complete the job be 'x' mins.
Now given:
One watering system needs about three times as long to complete a job as another watering system.
Time required by one watering system =
Rate to complete the job by another watering system =
Rate to complete the job by One watering system =
Rate at which both can complete the job =
So we can say that;
Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.
framing in equation form we get;
Now taking LCM to make the denominator common we get;
By Cross multiplication we get;
Dividing both side by 3 we get;
Time required by One watering system =
Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.
First, recognize that all the numbers can be moved around because they are being multiplied together.
Next, rearrange the expression so that the whole-number coefficients are together:
Now try to simplify the square-roots to find any squares inside that can be reduced and taken out of the square-root:
Multiply the square roots together:
Now take out the square-root of 4 and simplify