Answer:

Step-by-step explanation:
To begin simplifying this, we can first divide the coefficients, giving us:

We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:

Now, simplifying this gets:

 
        
             
        
        
        
The square's diagonal is the triangle's hypotenuse.
The Pythagorean theorem is =  
 
Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.
As the side is given 12 inches, so this becomes 




 inches
 inches
 
        
             
        
        
        
Answer:
The first option, the mayor will lose by a large percentage.
Step-by-step explanation:
If you look at the numbers, You can see that the two best answers which are excellent and satisfactory are low, and in total equal 28.
Being compared to the lower ratings which are needs improvement and unsatisfactory are high, and in total equal 52.
Seeing this, this shows that the mayor will lose the election the with more than half of the people voting for someone else.
All the other options excluding the first one, say that he will win by a close call, a big percent, or a close call again.
which just leaves the first option saying that he will lose by large percent, which is true.
 
        
             
        
        
        
Answer:
400 sq. ft.
Step-by-step explanation:
We gotta find the length of a side:
First, we divide 80 by 4, because the perimeter of a square is (4 x side):
80 ft. / 4 = 20  ft.
Second, we doing the normal area of a square equation:
 = 400 square ft.
 = 400 square ft.
Which leads to out answer of 400 sq. ft.