Answer:
Step-by-step explanation:
The volume of a cylinder can be determined using the formula V = Bh where B is the area of the base of the cylinder and h is the height.
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
In the real world, calculating volume is probably not something that you will use as often as calculating area.
However it can still be important. Being able to calculate volume will enable you to, for example, work out how much packing space you have when moving house, how much office space you need, or how much jam you can fit into a jar.
It can also be useful for understanding what the media mean when they talk about the capacity of a dam or the flow of a river.
Let ????C be the positively oriented square with vertices (0,0)(0,0), (2,0)(2,0), (2,2)(2,2), (0,2)(0,2). Use Green's Theorem to
bonufazy [111]
Answer:
-48
Step-by-step explanation:
Lets call L(x,y) = 10y²x, M(x,y) = 4x²y. Green's Theorem stays that the line integral over C can be calculed by computing the double integral over the inner square of Mx - Ly. In other words

Where Mx and Ly are the partial derivates of M and L with respect to the x variable and the y variable respectively. In other words, Mx is obtained from M by derivating over the variable x treating y as constant, and Ly is obtaining derivating L over y by treateing x as constant. Hence,
- M(x,y) = 4x²y
- Mx(x,y) = 8xy
- L(x,y) = 10y²x
- Ly(x,y) = 20xy
- Mx - Ly = -12xy
Therefore, the line integral can be computed as follows

Using the linearity of the integral and Barrow's Theorem we have

As a result, the value of the double integral is -48-
The length of the bedroom exists at x = 9 and y = 6.
<h3>How to estimate the length of the bedroom?</h3>
From the given information, we get
Then 
Solve this for x.
simplifying the value of x we get
Equate (1/9) to 1/x.
x = 9 (feet).
Convert 1.5 inches to feet using a proportion:

Solve this for y.
simplifying the value of y we get
(1/4)y = 3/2
Multiply both sides of the equation by 4.
y = 6
Therefore, the length of the bedroom exists at x = 9 and y = 6.
To learn more the value of x refers to:
brainly.com/question/2284360
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Answer:
John did not make a mistake
Step-by-step explanation:
he did everything correct
Answer:
(-1.92, 1.08)
Step-by-step explanation:
The <em>incenter</em> is the center of the largest circle that can be inscribed in the triangle. That circle is called the <em>incircle</em>. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the <em>inradius</em> (the radius of the incircle), is found from a simple formula:
r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs
In your triangle, the inradius is ...
r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452
Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...
incenter ≈ (-1.92, 1.08)