Answer:
50
Step-by-step explanation:
x = √30² - 18² = √576 = 24
tan A = 18/24 = 3/4
∠A = ∠B
tan B = tan A = 24 / y = 3 / 4
y = (24 x 4) / 3 = 32
Z = y + 18 = 32 + 18 = 50
We presume your cost function is
c(p) = 124p/((10 +p)(100 -p))
This can be rewritten as
c(p) = (124/11)*(10/(100 -p) -1/(10 +p))
The average value of this function over the interval [50, 55] is given by the integral

This evaluates to
(-124/55)*(ln(65/60)+10ln(45/50)) ≈ 2.19494
The average cost of removal of 50-55% of pollutants is about
$2.19 hundred thousand = $219,000
Answer:
The answer should D) I, II, and III
Answer:
72
Step-by-step explanation:
This shape is a prism; it's a 3-D shape with 6 sides. Basically, it's a box.
All 6 sides are rectangles.
Surface area means that we'll find the area of all 6 rectangles and add them up.
There's a front and back, left and right, and a top and bottom.
The area of a rectangle is length×width or base×height.
The front and back are identical.
Area = length×width
Area = 6×3 = 18
Since the front and back are the same, two of the rectangles have area = 18.
The left and right are the same:
Area = 3 × 2
Area = 6
Two faces have area = 6.
The top and bottom are the same.
Area = 6 × 2
Area = 12
Again, two faces have area = 12.
To find the total surface area, add up all 6 areas.
A =18+18+6+6+12+12
A = 72