Question

Identify the missing symbol.

15π? 4√57

OA. <

OB. >

OC. =

Answer 1

To compare the values \( 15\pi \) and \( 4\sqrt{57} \), we can evaluate each expression.

1. **Calculate \( 15\pi \)**:
\[
15\pi \approx 15 \times 3.14 \approx 47.1
\]

2. **Calculate \( 4\sqrt{57} \)**:
First, we need to find \( \sqrt{57} \). Since \( 57 \) is close to \( 64 \) (\( 8^2 \)), we can estimate:
\[
\sqrt{57} \approx 7.5 \text{ (between 7 and 8)}
\]
Now, calculate \( 4\sqrt{57} \):
\[
4\sqrt{57} \approx 4 \times 7.5 = 30
\]

Now, we compare the two results:
- \( 15\pi \approx 47.1 \)
- \( 4\sqrt{57} \approx 30 \)

Since \( 47.1 > 30 \), we have:
\[
15\pi > 4\sqrt{57}
\]

Therefore, the missing symbol is **OB. >**.