9514 1404 393
Answer:
31.243 units
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.
Sin = Opposite/Hypotenuse
sin(30°) = BE/100
BE = 100·sin(30°)
Then ...
Tan = Opposite/Adjacent
tan(58°) = BE/x
x = BE/tan(58°) = 100·sin(30°)/tan(58°)
x ≈ 31.243 . . . . units
_____
<em>Comment on the figure</em>
The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.
Answer:
The inverse of f(x) is 
Step-by-step explanation:
To find the inverse of the function 
, perform the following steps:
1) do 
2) Solve the equation for the variable x.
3) exchange the variable x with the variable y
----> 
4) Change the variable y by 
Finally the inverse function is:
Answer:
<em>2x - 1</em>
Step-by-step explanation:
<u>Equivalent Algebraic Expressions
</u>
One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.
The expression:
1 + 2(x - 1)
Can be modified by applying the following operations:
Multiplying the constant by the contents in parentheses:
1 + 2x - 2
Collecting like terms:
-1 + 2x
Or, equivalently:
2x - 1
Answer:
No it is not proportional
Step-by-step explanation:
You cant multiply each of the inputs by a constant number to get the output.
There is only 2 of them that you can, but the other 2 no. And you want he whole table so you need all of the inputs not just some. So no, its not proportional.
Hope this helped!
