Answer:
Step-by-step explanation:
Use the average speed formula.
56 minutes = 0.933333 hours
Answer please :) ................
2 answers:
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<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.
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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
The perimeter of a triangle is given by:
Perimeter = sum of three sides
We are given perimeter = 112 in.
Hypotenuse = 50 in.
Let us say the other two sides are a and b.
So , we have
...............(2)
In a right angle triangle we can apply pythagorean theorem,
a² + b² = c²
here c is hypotenuse which is 50 in.
a²+b² = 50²
a²+b² = 2500............(2)
Plugging the value of a from equation (1) in (2)
Factorising ,
So we have two values of b
b=14 and b=48
If b=14, a=48
If b=48, a=14
Answer: The shorter leg will be 14 inches.