What is the value of x in the equation x – y = 30, when y = 15?
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Answer:
Step-by-step explanation:
Since we are given the central angle in radians, we should use the following formula for the arc length.
Where <em>s</em> is the arc length, θ is the angle in radians, and <em>r</em> is the radius.
We know this circle has a radius of 9 inches and the central angle is 3.25 radians.
- θ= 3.25
- r= 9 in
Substitute the values into the formula
Multiply.
The arc length is <u>29.25 inches. </u>
Let us calculate the teacher's initial speed. It can be calculated as thus:
She does 5 papers in 30 minutes. Thus means her speed is 6 minutes per paper (Because minutes per paper).
Now, if the teacher has to complete the remaining 30 papers in the remaining 150 minutes (2 hours 30 minutes=120+30=150 minutes), she will have to go through one paper in minutes. Thus, her speed now will have to be 5 minutes per paper.
Now, we know that 1.2 times 5=6. Therefore, it will not be wrong to say that '' she has to be 1.2 times faster instead of 20% faster" because both mean the same.