Answer:
100 miles
Step-by-step explanation:
The resulting matrix of the row operation is given as follows:
![R = \left[\begin{array}{ccc}7&4.5&-6\\-6&-3&12\end{array}\right]](https://tex.z-dn.net/?f=R%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%264.5%26-6%5C%5C-6%26-3%2612%5Cend%7Barray%7D%5Cright%5D)
<h3>How to find the resulting matrix?</h3>
We apply the row operation on the original matrix, given as follows:
![A = \left[\begin{array}{ccc}4&3&0\\-6&-3&12\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%263%260%5C%5C-6%26-3%2612%5Cend%7Barray%7D%5Cright%5D)
The operation is given by:
That is, applying to each element, we have that:
Hence the resulting matrix is:
More can be learned about matrix operations at brainly.com/question/1821869
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The answer is 141.35 ft²
Before the first break, it was painted:
150 ft² ÷ 2 = 75 ft²
Now it's left:
150 ft² - 75 ft² = 75 <span>ft²
Before the second break, it was painted:
75 </span>ft² ÷ 2 = 37.5 <span>ft²
Now it's left:
75 </span>ft² - 37.5 ft² = 37.5 <span>ft²
Before the third break, it was painted:
37.5 </span>ft² ÷ 2 = 18.75 <span>ft²
</span><span>Now it's left:
</span>37.5 ft² - 18.75 ft² = 18.75 <span>ft²
</span>
<span>Before the fourth break, it was painted:
</span>18.75 ft² ÷ 2 = 9.375 <span>ft²
</span><span>Now it's left:
</span>18.75 ft² - 9.375 ft² = 9.375 <span>ft²
</span>
<span>Before the fourth break, it was painted:
</span>9.375 ft² ÷ 2 = 4.6875 <span>ft²
</span><span>Now it's left:
</span>9.375 ft² - 4.6875 ft² = 4.6875 ft²
Now, we will sum what he painted for now:
75 ft² + 37.5 ft² + 18.75 ft² + 9.375 ft² 4.6875 ft² = 141.3125 ft² ≈ 141.35 ft²
When the painter takes his fifth break, there will be <span>141.35 ft² of the wall painted.</span>
