Answer:
41.6 cm
Step-by-step explanation:
Option (C) -: The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.
<h3>What is parallel and perpendicular ?</h3>
In geometry two lines are parallel to each other when they have no intersecting point and the distance between them is constant.
Two lines are perpendicular if they have an intersecting point and they intersect each other at at 90°.
From the given figure we can observe the distance between the floor ceiling of 3rd and 6th floor is constant therefore they are parallel to each other.Now if we imagine the elevator going up and down an imaginary line (meeting line of two elevator doors) would intersect them at an angle of 90°.
∴The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.
Learn more about parallel and perpendicular here :
brainly.com/question/16853486
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<span>The maxima of a differential equation can be obtained by
getting the 1st derivate dx/dy and equating it to 0.</span>
<span>Given the equation h = - 2 t^2 + 12 t , taking the 1st derivative
result in:</span>
dh = - 4 t dt + 12 dt
<span>dh / dt = 0 = - 4 t + 12 calculating
for t:</span>
t = -12 / - 4
t = 3
s
Therefore the maximum height obtained is calculated by
plugging in the value of t in the given equation.
h = -2 (3)^2 + 12 (3)
h =
18 m
This problem can also be solved graphically by plotting t
(x-axis) against h (y-axis). Then assigning values to t and calculate for h and
plot it in the graph to see the point in which the peak is obtained. Therefore
the answer to this is:
<span>The ball reaches a maximum height of 18
meters. The maximum of h(t) can be found both graphically or algebraically, and
lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball
to reach maximum height, and the y-coordinate, 18, is the max height in meters.</span>
20100 = 16000 * (1.02)^ t
20100/16000 = 1.02^t
1.25625 = 1.02^t
log 1.25625 = t * log 1.02
t = log 1.25625 / log 1.02
= 11.5
Answer: 2, 6.
Step-by-step explanation:
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