The correct question is
A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x and the fountain is going to be circular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?
Step 1
find the area of rectangular yard (A1)
A1=(10*x)*15*x=150*x² units²
Step 2
find the area of the circular <span>fountain (A2)
A2=pi*r</span>²---------> pi*(4x)²=16*pi*x²
Step 3
find <span> the area of the remaining yard (A3)
A3=A1-A2----------> 150*x</span>²-16*pi*x²----> x²*[150-16*pi]----> 2*x²*[75-8*pi]
the answer is the option A)
<span> 2x</span>²<span> (75-8pi )</span>
Answer:
x=-5/7
Step-by-step explanation:
Answer:

Step-by-step explanation:
By the Triangle Proportionality Theorem:

By cross-multiplication:

Distribute:

Subtract 12x from both sides:

Hence:

Answer:
It would take them 64 hours. However, this is only true if they decrease by two in the end. The question is not very specific.
The student does not make an error