The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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Answer:
5.31736155272
Step-by-step explanation:
good luck have a nice day
Answer:
Step-by-step explanation:
Answer:
The graph of the given inequality :
2x+3y<6; is a straight line such that the points on the line are not included as it is strict inequality and it passes through the x-axis at the point (3,0) and y-axis at the point (0,2).
The shaded region is towards the origin (as the point (0,0) i.e. the origin satisfies the inequality). The graph is attached to the answer.
<h3>
Answer:</h3>
(x, y) = (-1, 4)
<h3>
Step-by-step explanation:</h3>
We assume your two equations are ...
You can eliminate the y-variable by multiplying the first equation by 3 and adding the second.
3(7x +y) +(2x -3y) = 3(-3) +(-14)
23x = -23 . . . . . . . simplify
x = -1 . . . . . . . . . . . divide by 23
7(-1) + y = -3 . . . . . substitute for x in the first equation
y = 4 . . . . . . . . . . . add 7
