Answer:
And solving for the radius we got:
And replacing the data given we got:
And this value converted to meters is 
Step-by-step explanation:
For this case we know the population size 
and we also know the population density 
We can assume that the area is a circle. We also know that the formula for the population density is given by:
Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:
With X the radius of the circle
And then the populationd density become:
And solving for the radius we got:
And replacing the data given we got:
And this value converted to meters is
The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
What do you mean by absolute maximum and minimum ?
A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.
It is given that function is f(x) = |x + 3|.
We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.
So , if we put |x + 3| = 0 , then :
± x + 3 = 0
±x = -3
So , we can have two values of x which are either -3 or 3.
The value 3 will be absolute maximum and -3 will be absolute minimum.
Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
Learn more about absolute maximum and minimum here :
brainly.com/question/17438358
#SPJ1
For this case, the first thing to do is to graph the ordered pairs given in the problem.
Then, join the points to see the quadrilateral formed.
In this case the quadrilateral is a trapezoid.
The trapezoid is a geometric figure with four sides, of which only two are parallel.
Answer:
trapezoid
See attached image.
Answer:
The answer will be 0.36 in decimal form
Answer:
26.13 ft^2
Step-by-step explanation:
The area of the triangle is (1/2)(height)(base) = (1/2)(4)(6) = 12. (The base is 6 because it is made up of two radii of the semicircle.)
The area of a whole circle is pi(radius)^2.
Area of whole circle is pi(3^2) = 9pi. But you have only half a circle, so its area is 4.5pi.
Using 3.14 to approximate pi, the area of the semicircle is 4.5(3.14) = 14.13.
Adding this to the area of the triangle, you get a total area
14.13 + 12 = 26.13 ft^2
