Answer:
24.76 mine
Step-by-step explanation:
The first thing is to calculate the area of the region, which we can calculate since we have the density and the population. The area would be the quotient between population and density:
260000/135 = 1925.93
The area would be 1925.93 square mine
We know that the area is given by:
A = pi * r ^ 2
we solve to r
r ^ 2 = A / pi
r ^ 2 = 1925.92 / 3.14
r ^ 2 = 613.3
r = 24.76
the radius is equal to 24.76 mine
Answer:
x = 8 is the answer
Step-by-step explanation:
In order to find the solution of Equations using Cramer's rule
we shall find matrices
D=
=
![D_{1} = \left[\begin{array}{ccc}4&-3\\-16&-2\end{array}\right]](https://tex.z-dn.net/?f=D_%7B1%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-3%5C%5C-16%26-2%5Cend%7Barray%7D%5Cright%5D)
l D l = Determinant formed by coefficient of variables
Here l D l = 5X(-2) - 1X(-3)= -10+3 = -7
l D1 l = Determinant formed by replacing first column In D by numbers on the right side of the equations
Here l D1 l = 4X(-2)- (-16)X(-3)= -8-48 = -56
here x is given by 
x = 
x = 8
Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
__
B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
_____
<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.
The surface area of this cylinder to the nearest thousandth is equal to 452.448 square feet.
<u>Given the following data:</u>
- Height of cylinder = 6 ft.
- Radius of cylinder = 6 ft.
To calculate the surface area of this cylinder to the nearest thousandth:
<h3>How to calculate surface area.</h3>
Mathematically, the surface area (SA) of a cylinder is given by this formula:

<u>Where:</u>
Substituting the given parameters into the formula, we have;

SA = 452.448 square feet.
Read more on surface area here: brainly.com/question/21367171
What are the missing measures bro?