4 Americans can arrange themselves in 4! ways.similarly ,3 Frenchmen can arrange themselves in 3! ways.3 Englishmen can arrange themselves in 3! ways.now these 3 groups of same nationality people can be arranged among themselves in 3! ways.so total number of ways = 3!4!3!3!
Answer:
x = 3.873 units
or x =
units
Step-by-step explanation:
Hypotenuse = 4 , x = height of this isosceles triangle.
base is 2,
so Use Pythagorean Theorem.
x^2 + 1^2 = 4^2
x^2 = 4^2 - 1^2
x^2 = 16 - 1 = 15
x = root(15) =
Answer:
Step-by-step explanation:
The maximum volume the shipping container can have is 10 cubic yards.
The volume of a rectangular prism is given as:
V = L * W * H
where L is length, W is width and H is height.
To find the maximum height of the container, make H the subject of formula:

We have been given the length and width of the container as 2 1/2 yards and 3 1/2 yards respectively.
Hence, the maximum height is:


The maximum height of the container is
.
I hope this is the correct way to solve one of these.
first you need to know how the graph is so you consider y=x²-8x+17 (you might want to see the picture below to understand in a better way)
then you have to evaluate two points. one above the curve and one underneath the curve to see where y is greater than the curve. so let’s try for instance (0,0) and (4,2)
finally you must determine which points confirm that the statement is actually true. then you select the region for your solution :)