Answer:
45.82 square inches
Step-by-step explanation:
Use the formula for the surface area of a sphere, A = 4 r²
r²
If the diameter is 3.82 inches, the radius is 1.91 inches.
Plug in 3.14 as  and 1.91 as r, and solve:
 and 1.91 as r, and solve:
A = 4 r²
r²
A = 4(3.14)(1.91²)
A = 45.82
So, approximately 45.82 square inches of material are needed. 
 
        
             
        
        
        
Answer:
17 years
Step-by-step explanation:
3% of 2000 = 60
3000-200 = 1000
1000 ÷ 60= 16.6666666667
Round to the nearest whole number: 17
 
        
             
        
        
        
Answer:  i) 1 - 9x² - 12x
                ii) 17 - 3x²
              iii) - 20 + 10x² - x⁴
<u>Step-by-step explanation:</u>
g(x) = 3x + 2       h(x) = 5 - x²
i) h(g(x))
   h(3x + 2) = 5 - (3x + 2)²
                   = 5 - (9x² + 12x + 4)
                   = 5 - 9x² - 12x - 4
                   = 1 - 9x² - 12x
ii) g(h(x))
    g(5 - x²) = 3(5 - x²) + 2
                  = 15 - 3x² + 2
                  = 17 - 3x²
iii) h(h(x))
    h(5 - x²) = 5 - (5 - x²)²
                  = 5 - (25 - 10x² + x⁴)
                  = 5 - 25 + 10x² - x⁴
                  = -20 + 10x² - x⁴
 
        
             
        
        
        
Parallelograms, rectangles, rhombus, or square
        
                    
             
        
        
        
Answer:
3(n-8)
Step-by-step explanation: