Answer:
The answer is
<h2>V = 198 in³</h2>
Step-by-step explanation:
Volume of a cylinder = πr²h
where
h is the height
r is the radius
From the question
h = 7 in
To calculate the radius from the diameter we use the formula
radius = diameter/2
From the question
diameter = 6
radius = 6/2 = 3 in
Volume of the cylinder is
(3)²(7)π
= 9(7)π
= 63π
= 197.9203
We have the final answer as
<h3>V = 198 in³ to the nearest cubic inch</h3>
Hope this helps you
 
        
             
        
        
        
Answer:
The poster is 11 inches wide and 19 inches in height.
Step-by-step explanation:
We take the given equation: (x^2+2x-15) and we add in 14 as our x variable:
((14)^2+2(14)-15) the answer we get from that is 209. The area of the poster is 209 square inches. Then we find the width by taking (x-3) in this case x is 14 so the width of the poster is 11. In order to find the height we divide the height by the width and we get 19.
Therefore:
Height= 19 Inches
Width= 11 Inches
Total Area= 209 Square Inches
 
        
             
        
        
        
Expand
x^2+3x-10=18
minus 18 both sides
x^2+3x-28=0
find what 2 numbers mutiply to -28 and add to 3
7 and -3  
(x+7)(x-3)=0
set each to zero
x+7=0
x=-7
x-3=0
x=3 
x=-7 and 3
        
                    
             
        
        
        
Answer:
z = 155 ( second choice )
Step-by-step explanation:
x = 25
65 + 90 = 155
180 - 155 = 25 = x
180 - 25 = 155 = z
 
        
             
        
        
        
The inverse function is f^-1 (x)= -2+(x/3) dont add the parenethese though, i used the parenethese to show that its x over 3. hope that helped! :D