Sure! Let's solve the given expression step by step.
The given expression is:
[tex]\[ 36 - |-49 + (-32.9)| \][/tex]
1. Simplify the inner expression:
[tex]\[ -49 + (-32.9) \][/tex]
When combining the two numbers, we sum them since they are both negative:
[tex]\[ -49 + (-32.9) = -81.9 \][/tex]
2. Find the absolute value of the result:
[tex]\[ |-81.9| = 81.9 \][/tex]
3. Subtract the absolute value from 36:
[tex]\[ 36 - 81.9 = -45.9 \][/tex]
Therefore, the result of the expression [tex]\( 36 - |-49 + (-32.9)| \)[/tex] is [tex]\(-45.9\)[/tex], which is most closely approximated by the choice among the provided options.
Since [tex]\(-45.9\)[/tex] is not explicitly listed, the closest option is [tex]\(\boxed{-43.8}\)[/tex]. However, given that [tex]\(-45.9\)[/tex] is more negative than [tex]\(-43.8\)[/tex], there's likely been a rounding consideration that isn't clear in the provided choices.
Nonetheless, the exact numerical result calculated was:
[tex]\[
\boxed{-45.9}
\][/tex]
