Let's solve the given expression step-by-step:
[tex]\[
\frac{1}{2} \cdot (|-5| + |5|)(|-4|)
\][/tex]
Step 1: Calculate the absolute values.
[tex]\[
|-5| = 5, \quad |5| = 5, \quad \text{and} \quad |-4| = 4
\][/tex]
Step 2: Sum the absolute values [tex]\(|-5| + |5|\)[/tex].
[tex]\[
5 + 5 = 10
\][/tex]
Step 3: Multiply this sum by [tex]\(|-4|\)[/tex].
[tex]\[
10 \cdot 4 = 40
\][/tex]
Step 4: Finally, divide the product by 2.
[tex]\[
\frac{1}{2} \cdot 40 = 20.0
\][/tex]
Therefore, the value of the given expression [tex]\(\frac{1}{2} \cdot (|-5| + |5|)(|-4|)\)[/tex] is:
[tex]\[
20.0
\][/tex]
