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.
Answer: There are 4 average cars in the system.
Step-by-step explanation:
Since we have given that
Arrival rate = λ = 4 cars per hour
Service rate = μ = 5 cars per hour
We need to find the average number of cars in the system.
So, Average number of cars would be

So, it becomes,

Hence, there are 4 average cars in the system.
Let the price of the computer = X
Store A is selling it for 25% off, so they are selling it for 75% of the original price, so you have 0.75X
Store B is selling it for 180 less the original price, so you have X - 180
Now set both equations to equal and solve for x:
0.75x = X-180
Subtract 1X from each side:
-0.25x = -180
Divide both sides by -0.25:
x = -180 / -0.25
X = 720
The original price is $720
check:
720 x 0.25 = 180