Answer:
height = 20.5068 m
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5 { since the wheel starts at 6 o clock }
midline C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
B = 2π/8 = π/4
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( 4.71238898) + 20.5
height = -17.5 × cos( 4.712) + 20.5
height = -17.5 × -0.00038898 + 20.5
height = 0.0068 + 20.5
height = 20.5068 m
Answer:
The constant of proportionality is 5.
Step-by-step explanation:
If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is
When q=2.5, m= 4 and the
product of rx = 8.
We plug in this values to get;
Multiply both sides by 2
The constant of proportionality is 5.
Your classmate's error about AB and DC being complimentary and parallel is that they misapplied the alternate angle property.
<h3>Why are AB and DC not parallel?</h3><h3 />
There isn't enough evidence presented in the diagram to say that AB and DC are parallel.
The evidence required would be proof that angle AWZ is equal to angle WZY.
Instead, all we have is that angle AWZ and angle XYC are equal which does not tell us what we need to know about AB and DC being parallel.
Find out more on properties of parallel lines at brainly.com/question/24607467
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<span>y=2\3x-17and 4x-6y=-7 implies - 6y= - 4x -7, and then y= (-4/-6)x +7/6 and so
y=2/3x+7/6
but when we have y=ax+b and y=a'x+b', the two lines are parallels if a=a', in our case 2/3=2/3 the lines are parallel
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