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
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<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.
The triangle will be rotated with the rule of (x,y) → (-y,x). The image will be congruent to the pre-image, the side lengths will be the same and the angles too.
179/1018=.17580
.17580*100=17.6%
(-7x² + 3) + (4x² + 2x - 1)
-7x² + 3 + 4x² + 2x - 1
(-7x² + 4x²) + (3 - 1) + 2x collect like terms
-3x² + 2x + 2
hope this helps, God bless!
The answer to this question is 25.