Answer:
2
Step-by-step explanation:
For any positive numbers a,b we always have the following identity:
(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)
In our case, we are given that and that . Plugging that in into our identity, we get:
And so solving for :
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.
You can find any ordered pair in which the y coordinate is 4 times the x coordinate.
For example, an ordered pair could be (2,8) or (5,20)
Let's solve the equation step-by-step
Step 1) Simplify both sides of the equation
3+ j/11 = 2
1/11j+3=2
Step 2) Subtract 3 from both sides
1/11j + 3 - 3 = 2 - 3
1/11j = -1
Step 3) Multiply both sides by 11
11 x (1/11j) = (11) x (-1)
j = -11
Answer is.. J = -11
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