Answer:
1.)4188.79
2.) 7238.23
3.)1.02
4.)4189
5.)170 cm³
Step-by-step explanation:
1.) 4πr2 * 5
2.) 4πr2 * 12
3.) V = 4/3(PI*r3). *4.5
4.) V = 4/3 π r ^3 * 10
5.) Given:
Cylindrical container: height = 18 cm ; diameter = 6 cm.
3 balls each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3  π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
113.04 cm³  * 3 balls = 339.12 cm³
508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³
There is 170 cm³ free space in the container.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
m =  
 
y -  = m( x -
 = m( x -  )
 ) 
y = mx + b 
~~~~~~~~~~~ 
(4, 5) 
( - 6, 15) 
m = (15 - 5) / ( - 6 - 4 ) = - 1 
y - 5 = ( - 1)( x - 4 ) 
y =<em> (- 1) </em>x + <em>9</em> 
 
        
                    
             
        
        
        
When you multiply two complex numbers given in polar form, the argument of the product is the sum of the arguments of the factors. Meanwhile, the modulus of the product is the product of the moduli of the factors.
In this case, you'd have

and the modulus would simply be 

. Since

we would expect the final product to fall in the first quadrant.
 
        
        
        
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
58
/15
Decimal Form:
3.8
6
Mixed Number Form:
3  13
/15
Step-by-step explanation: