The answer is: " 128π in³ " .
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Note: The formula/equation for the volume of a cylinder is:
V = Base area * height.
The base area is a circle: A = π r² ; r= radius;
So , the formula/ equation for the volume of a cylinder is:
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V = π r² * h ; (h = "height").
Given: r = radius = 4 in. (given) ;
r² = (4 in.)² = (4 in.)*(4 in.) = 16 in.² .
h = height = 8 in. (given).
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V = π r² * h ;
V = π * 16 in² * 8 in. ;
V = π * 128 * in² * in. ;
V = 128 π in³ .
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Ok the answer is 31/2+4+4 1/2=22 hope it helps
$20.70= 3p +3
This is the equation yo represent the situation
Correct Option:Option B
Solution:The given expression is:
![\frac{cos(3x)}{sin(x)cos(x)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bcos%283x%29%7D%7Bsin%28x%29cos%28x%29%7D%20)
cos(3x) can be written as cos(2x +x). Expanding it, we get:
![cos(3x) = cos(2x+x) \\ \\ cos(3x) =cos(2x)sin(x)-sin(2x)cos(x)](https://tex.z-dn.net/?f=cos%283x%29%20%3D%20cos%282x%2Bx%29%20%5C%5C%20%20%5C%5C%20%0Acos%283x%29%20%3Dcos%282x%29sin%28x%29-sin%282x%29cos%28x%29)
Using this value of cos(3x) in given equation, we get:
Step-by-step explanation: In algebra, we use the word <em>slope</em> to describe how steep a line is and slope can be found using the ratio <em>rise/run </em>between any two points that are on that line.
The ratio <em>rise/run</em> is the equal to the rate of change
or the <em>change in y/change in x</em>.
In algebra, the rate of change or the <em>change in y/change in x</em> or
the <em>rise/run</em> is also called the slope of a line.