The answer is 26.6 ft because 31×31 - 16×16 is 705 and the square root of 705 is 26.55183609
Let's start with #3.
To find the variable y, we know that it is supplementary to an angle that is 38 degrees, meaning that it measures (180-38) degrees, which is equal to 142 degrees.
To find the variable x, we know that in relation to the angle labeled 38 degrees, angle x is a vertical angle, and all vertical angles are congruent, or have the same measure. Thus, the variable x equals 38 degrees.
So the answer to #3 is d. x = 38, y = 142.
Now, let's move on to #4
The diagram shows a right angle which measures 90 degrees (designated by the square symbol), an angle that measures x degrees, and an angle that measures 56 degrees. We can assume from the diagram that the sum of all of these angles equals a straight angle, or 180 degrees.
Thus, 180 = 90 + 56 + x. When this equation is solved, x = 34.
Therefore, the answer to #4 is a. x = 34
F(x) = 1/2x +4
replace f(x) with y
y = 1/2x+4
switch x and y
x = 1/2y +4
solve for y
multiply both sides by 2
2x = y+8
subtract 8 from both sides
2x-8 = y
rewrite with y on the left side: y = 2x-8
replace y with f(x)^-1 (inverse notation)
f(x)^-1 = 2x-8
solve for f^-1(4)
replace x with 4 in the equation and solve:
2(4) -8 = 8-8 = 0
Answer:
12,200
Step-by-step explanation: