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Answer :
To solve the question, you'll need to follow these steps:
1. Identify the given values and the required formula:
- Given values are:
[tex]\[
a = 42.8, \quad b = 38.5, \quad c = 3295.6
\][/tex]
- We need to calculate [tex]\(\sqrt{42.8^2 + 38.5^2 + 3295.6}\)[/tex].
2. Calculate the squares of [tex]\(a\)[/tex] and [tex]\(b\)[/tex]:
- First, compute [tex]\(a^2\)[/tex]:
[tex]\[
42.8^2 = 1832.64
\][/tex]
- Next, compute [tex]\(b^2\)[/tex]:
[tex]\[
38.5^2 = 1482.25
\][/tex]
3. Sum the squares and add [tex]\(c\)[/tex]:
- Add the squares and [tex]\(c\)[/tex]:
[tex]\[
1832.64 + 1482.25 + 3295.6 = 6609.69
\][/tex]
4. Take the square root of the sum:
- Find the square root of [tex]\(6609.69\)[/tex]:
[tex]\[
\sqrt{6609.69} = 81.3
\][/tex]
With these calculations, we determine that the square root of [tex]\(42.8^2 + 38.5^2 + 3295.6\)[/tex] is [tex]\(81.3\)[/tex].
Therefore, the correct answer is:
[tex]\[
\boxed{81.3}
\][/tex]
So, the correct option is:
[tex]\[
\text{(c) 81.3}
\][/tex]
1. Identify the given values and the required formula:
- Given values are:
[tex]\[
a = 42.8, \quad b = 38.5, \quad c = 3295.6
\][/tex]
- We need to calculate [tex]\(\sqrt{42.8^2 + 38.5^2 + 3295.6}\)[/tex].
2. Calculate the squares of [tex]\(a\)[/tex] and [tex]\(b\)[/tex]:
- First, compute [tex]\(a^2\)[/tex]:
[tex]\[
42.8^2 = 1832.64
\][/tex]
- Next, compute [tex]\(b^2\)[/tex]:
[tex]\[
38.5^2 = 1482.25
\][/tex]
3. Sum the squares and add [tex]\(c\)[/tex]:
- Add the squares and [tex]\(c\)[/tex]:
[tex]\[
1832.64 + 1482.25 + 3295.6 = 6609.69
\][/tex]
4. Take the square root of the sum:
- Find the square root of [tex]\(6609.69\)[/tex]:
[tex]\[
\sqrt{6609.69} = 81.3
\][/tex]
With these calculations, we determine that the square root of [tex]\(42.8^2 + 38.5^2 + 3295.6\)[/tex] is [tex]\(81.3\)[/tex].
Therefore, the correct answer is:
[tex]\[
\boxed{81.3}
\][/tex]
So, the correct option is:
[tex]\[
\text{(c) 81.3}
\][/tex]
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