The area of a rectangle is calculated my multiplying the length of the rectangle and the width of the rectangle. In this case, the length (the longer side) is 70 feet while the width (shorter side) is 30 feet. Hence the area is 2,100 ft2. 
        
             
        
        
        
V = 4/3 * pi * r^3
V= 4/3 3.14 * 3^3
V = 4/3 *3.14 * 27
27 * 3.14 = 84.78
V = 4/3 * 84.78 = <span>113.04
V = </span><span>113.04
hope this helps</span>
        
                    
             
        
        
        
This is how you do it! Please let me know if you need help.
 
        
        
        
Answer:
k = -1/240
Step-by-step explanation:
to evaluate the value of k in the expression 1/3k+80=1/2k+120
we have
1/3k+80=1/2k+120
collect the like terms for easy evaluation
1/3k - 1/2k = 120 -80
1/3k - 1/2k = 40 
find the lcm 
2 - 3/6k = 40 
-1/ 6k = 40
cross multiply
6k  x  40  = -1
240k = -1
divide both sides by 240
240k/240 = -1/ 240
k = -1/240
therefore the value of k in the expression 1/3k+80=1/2k+120 is equals to -1/240
 
        
             
        
        
        
Answer:
8) -8, -9
9) 4, 
Step-by-step explanation:
8) x² + 12x + 27
Solutions of a polynomial means the values of  such that the polynomial becomes zero.
 such that the polynomial becomes zero.  .
.
We use the following formula to determine the solutions of a quadratic equation of the form: 
     
In this equation, 
Substituting in the formula, we have:


Taking 2 common outside we get:

Therefore, we get two solutions viz, x = -3, -9. 
9) 2x² - 9x + 4 = y
X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.
Solving the equation using the formula above, we get:


The values of x = 4,  .
.
Hence, the answer.