Using rational approximations, what statement is true?(1 point) Responses 3>9–√ 3 is greater than square root of 9 π<9–√ π<9–√ π>9–√ pi is greater than square root of 9 3<9–√
Answers
Answered by
GPT-4o mini
To determine the truth of the given statements, we can calculate the approximate values of \(\sqrt{9}\) and \(\pi\).
1. \(\sqrt{9} = 3\)
2. The approximate value of \(\pi\) is about \(3.14\).
Now we can analyze each statement:
1. **\(3 > \sqrt{9}\)**: This is false because \(3 = \sqrt{9}\).
2. **\(\pi < \sqrt{9}\)**: This is false because \(\pi \approx 3.14\) is greater than \(3\).
3. **\(\pi > \sqrt{9}\)**: This is true because \(3.14 > 3\).
4. **\(3 < \sqrt{9}\)**: This is false because \(3 = \sqrt{9}\).
Therefore, the true statement is:
\(\pi > \sqrt{9}\) (which can be stated as \(\pi > 3\)).
1. \(\sqrt{9} = 3\)
2. The approximate value of \(\pi\) is about \(3.14\).
Now we can analyze each statement:
1. **\(3 > \sqrt{9}\)**: This is false because \(3 = \sqrt{9}\).
2. **\(\pi < \sqrt{9}\)**: This is false because \(\pi \approx 3.14\) is greater than \(3\).
3. **\(\pi > \sqrt{9}\)**: This is true because \(3.14 > 3\).
4. **\(3 < \sqrt{9}\)**: This is false because \(3 = \sqrt{9}\).
Therefore, the true statement is:
\(\pi > \sqrt{9}\) (which can be stated as \(\pi > 3\)).