Question
Identify the missing symbol.
15π ? 3V62
A. <
B. =
C. >
15π ? 3V62
A. <
B. =
C. >
Answers
GPT-4o mini
To compare \( 15\pi \) and \( 3\sqrt{62} \), we first need to calculate their approximate values.
1. Calculate \( 15\pi \):
\[
\pi \approx 3.14 \implies 15\pi \approx 15 \times 3.14 = 47.1
\]
2. Calculate \( 3\sqrt{62} \):
\[
\sqrt{62} \approx 7.87 \implies 3\sqrt{62} \approx 3 \times 7.87 \approx 23.61
\]
Now we compare the two values:
- \( 15\pi \approx 47.1 \)
- \( 3\sqrt{62} \approx 23.61 \)
Since \( 47.1 > 23.61 \), we can conclude that:
\[
15\pi > 3\sqrt{62}
\]
Therefore, the missing symbol is \( > \).
The answer is **C. >**.
1. Calculate \( 15\pi \):
\[
\pi \approx 3.14 \implies 15\pi \approx 15 \times 3.14 = 47.1
\]
2. Calculate \( 3\sqrt{62} \):
\[
\sqrt{62} \approx 7.87 \implies 3\sqrt{62} \approx 3 \times 7.87 \approx 23.61
\]
Now we compare the two values:
- \( 15\pi \approx 47.1 \)
- \( 3\sqrt{62} \approx 23.61 \)
Since \( 47.1 > 23.61 \), we can conclude that:
\[
15\pi > 3\sqrt{62}
\]
Therefore, the missing symbol is \( > \).
The answer is **C. >**.