Simplify the ratio 12 : 8 and write the ratio in all three forms.
1 answer:
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Answer:
Since it has smaller absolute and relative errors, 355/113 is a better aproximation for than 22/7
Step-by-step explanation:
The formula for the absolute error is:
Absolute error = |Actual Value - Measured Value|
The formula for the relative error is:
Relative error = |Absolute error/Actual value|
I am going to consider the actual value of as 3.14159265359.
In the case of 22/7:
22/7 = 3.14285714286.
Absolute error = |3.14159265359 - 3.14285714286| = 0.00126448927
Relative error = 0.00126448927/3.14159265359 = 0.00040249943 = 0.04%
In the case of 355/113
355/113 = 3.14159292035
Absolute error = |3.14159265359 - 3.14159292035| = 0.00000026676
Relative error = 0.00000026676/3.14159265359 = 0.000000085 = 0.0000085%
Since it has smaller absolute and relative errors, 355/113 is a better aproximation for than 22/7
Answer: 53
Step-by-step explanation: To get the answer we have to use the pythagorean theorem.
a² + b² = c²
28² + 45² = c²
784 + 2025 = c²
2809 = c²
c = 53
I hope this helps!