Question

Find the cubic root of 135.(1 point)
Responses

527−−√3
5 root index 3 start root 27 end root

35–√
3 start root 5 end root

5–√3
root index 3 start root 5 end root

35–√3

Answer 1

dont tell me closest tell me correct

Answer 2

What is the circumference of a circle with a diameter of 4.5 miles? Estimate the circumference to the hundredths place using 3.14 for π
.(1 point)
Responses

14.2 miles
14.2 miles

63.59 miles
63.59 miles

7.07 miles
7.07 miles

14.13 miles

Answer 3

To find the cubic root of 135, we can express it mathematically as \( \sqrt[3]{135} \).

First, we can simplify 135 by factoring it:

\[
135 = 27 \times 5
\]
and recognizing that \( 27 = 3^3 \):

Now we can write:

\[
\sqrt[3]{135} = \sqrt[3]{27 \times 5} = \sqrt[3]{27} \times \sqrt[3]{5} = 3 \sqrt[3]{5}
\]

From the responses you provided, it seems there might be some formatting issues, but the expression \( 3 \sqrt[3]{5} \) is essentially a form of the cubic root.

Here's the comparison to your options:

1. \( 5\sqrt[3]{27} \) - Not correct.
2. \( 3\sqrt[3]{5} \) - Correct form.
3. \( 5^{\frac{1}{3}} \) - Not the full answer.
4. \( \sqrt[3]{35} \) - Not related.

The closest correct answer from the options provided is:

**\( 3\sqrt[3]{5} \)**

Answer 4

I apologize for the confusion earlier in interpreting your options. To clarify:

The cubic root of \( 135 \) is \( \sqrt[3]{135} \), which simplifies to:

\[
\sqrt[3]{135} = \sqrt[3]{27 \times 5} = 3\sqrt[3]{5}
\]

Among the options provided:

1. **\( \sqrt[3]{27} \) (which is 3) times \( \sqrt[3]{5} \) is equivalent to \( 3\sqrt[3]{5} \)**
2. The other options do not correctly express \( \sqrt[3]{135} \).

Thus, **the correct answer is \( 3\sqrt[3]{5} \)**. If this specific form is not listed in the options, please provide the exact responses again for further assistance.

Answer 5

To calculate the circumference of a circle, you can use the formula:

\[
C = \pi \times d
\]

where \(d\) is the diameter of the circle. Given that the diameter is \(4.5\) miles and using \(3.14\) for \(\pi\):

\[
C = 3.14 \times 4.5
\]

Now, perform the multiplication:

\[
C = 3.14 \times 4.5 = 14.13 \text{ miles}
\]

Therefore, the estimated circumference of the circle is:

**14.13 miles**

So the correct response is **14.13 miles**.