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.
3^8 = <span>6561
3^9 = </span><span>19683
6581 x 19683 = </span><span>129533823
quite a big number</span>
Answer:
x = 8
Step-by-step explanation:
Step 1: Simplify both sides.
7 - 3x = -2/5x - 69/5
7 + - 3x = -2/5x + -69/5
-3x + 7 = -2/5x + -69/5
Step 2: Add 2/5x to both sides.
-3x + 7 + 2/5x = -2/5x + -69/5 + 2/5x
-13/5x + 7 = -69/5
Step 3: Subtract 7 from both sides.
-13/5x + 7 - 7 = -69/5 - 7
-13/5x = -104/5
Step 4: Multiply both sides by 5/(-13)
(5/-13) * (-13/5x) = (5/-13) * (-104/5)
x=8