A person runs 1 4 of a mile in 1 32 of an hour. Compute the unit rate by setting up a complex fraction and simplifying.
2 answers:
Answer:
8 miles per hour
Step-by-step explanation:
Given that a person runs a distance of 1/ 4 of a mile in 1/ 32 of an hour.
We have to compute the unit rate by setting up a complex fraction and simplifying
Let us find distance travelled in one hour.
i.e. unit rate is he travels in one hour 8 miles.
Unit rate is normally for a single unit and other unit is left correspondingly
Here hour or time is made as unit i.e. one hour and distance travelled in one hour is calculated as 8 miles per hour.
You might be interested in
<h3>Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
___
If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620