Answer:

Step-by-step explanation:
To find (fg)(x), we have to look at f(x) and g(x) and multiply the two quantities together. We are already given the two quantities individually so all that is left is the multiplication:

If we reorder the terms to go from highest degree to lowest, we get our final answer to be the following:

V=hpir²
h=8
d=2r
d/2=r
5/2=2.5=r
V=8pi2.5²
V=8pi6.25
V=50pi
aprox pi=3.14
V=50 times 3.14
V=157 in³
157 cubic inches
Answer:
6,000
Step-by-step explanation:
Answer:
60.2 m
Step-by-step explanation:
Let x represent the width of the river. The distance from the point across from the tree to the second point is 15 m. The angle from this point to the tree across the river is 76°.
This makes the side opposite the angle x, the width of the river. It also means the 15 m side is adjacent to this angle.
The ratio opposite/adjacent is the ratio for tangent; this gives us the equation
x/15 = tan(76)
Multiply both sides by 15:
15(x/15) = 15(tan(76))
x = 15(tan(76)) ≈ 60.2
Answer:
Step-by-step explanation:
These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.
We use substitution here because it is easier.
Equation 1

Equation 2

Lets take equation 1

This is our equation 3 , now put it inside equation 2.

We found the value of y , now to find the value of x insert the value of y in equation 3

Solved ! See the attached image on both the straight line graphs i have attached for better understanding. Where both the lines intersect each other is our value of (x , y) respectively.