For this case we have the following functions:

We must find
. For definition of composition of functions we have to:

So:

Then, for any value of "x", the composite function has a value of
.
Thus,
cannot be evaluated, it will always be obtained 
ANswer:
For any value of "x", the composite function has a value of
I can't read all the question but my guess is by half.
Here we would use the idea that the post and its shadow form a triangle and the tree and its shadow form a triangle and the side lengths of these two triangles are of the same ratio, ie. if the height of the tree is given by h then:
5/8 = h/48
h = 48*(5/8)
h = 6*5 = 30
Thus the tree is 30 ft tall
Answer:
20 cups of rice
Step-by-step explanation:
you are said that you need twice as mich water as rice
so for 10 cups of rice you need 2*10 cups of water so 20
Answer:

Step-by-step explanation:
The similar triangles are drawn in the figure attached.
As shown in the figure, the smaller triangle ΔABC, and the larger triangle ΔA'B'C' share the same slope; therefore, the slope of the hypotenuse is the length of the triangle ΔA'B'C' divided by its base:

Therefore, the equation of the hypotenuse is
