The general form of the equation is <span>acot (bx−c)+d</span><span> to find the variables used to find the amplitude, period, phase shift, and vertical shift where </span><span>a=1, </span><span>b=</span><span>π/4, </span><span>c=0 and </span><span>d=0
Period is pi/b or equal to 4.
The vertical asymptote is 4pi n where n is integer.
Attached is the sketch of the graph
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Answer:
B. Corresponding
Step-by-step explanation:
The angles are across from each other so they are corresponding angles.
Step-by-step explanation:
Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.
Answer:
28.7 meters
Step-by-step explanation:
Draw a diagram. Let's say d is the distance between the anchor and the bottom of the tower, h is the height of the tower, and x is the length of the wire.
Using trigonometry, we can write two equations for the height of the tower:
h = d tan 65°
h = (d + 25) tan 35°
Setting these equal, we can solve for d.
d tan 65° = (d + 25) tan 35°
d tan 65° = d tan 35° + 25 tan 35°
d (tan 65° − tan 35°) = 25 tan 35°
d = 25 tan 35° / (tan 65° − tan 35°)
d ≈ 12.12
Now we can find x:
cos 65° = d / x
x = d / cos 65°
x ≈ 28.7
The wire is approximately 28.7 meters long.