Answer:
Triangular Prism
Step-by-step explanation:
We are given the object 'Tent' and are required to find a 3D object resembling it.
Since, the object represents a tent. So, it must have two similar and parallel bases with parallelograms as sides.
Therefore, we get that the 3D object that resembles a tent is a 'Triangular Prism'.
A triangular prism has two similar triangular bases and three rectangular sides as shown in the figure below.
Hence, 'Triangular Prism' is the answer.
Answer:
43.5 meters
Step-by-step explanation:
Area of regular hexagon =
in the problem you have a = 10 meters
and p = apothem = 8.7 meters
so if you apply the formula
you will have
area =( 1/2) × 10 × 8.7
area = 43.5 meters
The height of the <em>water</em> depth is h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours, and the height of the Ferris wheel is h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds. Please see the image to see the figures.
<h3>How to derive equations for periodical changes in time</h3>
According to the two cases described in the statement, we have clear example of <em>sinusoidal</em> model for the height as a function of time. In this case, we can make use of the following equation:
h = a + A · sin (2π · t/T + B) (1)
Where:
Now we proceed to derive the equations for each case:
Water depth (u = 20 m, l = 8 m, a = 14 m, T = 12 h):
A = (20 m - 8 m)/2
A = 6 m
a = 14 m
Phase
20 = 14 + 6 · sin B
6 = 6 · sin B
sin B = 1
B = π/2
h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours.
Ferris wheel (u = 40 m, l = 2 m, a = 21 m, T = 40 s):
A = (40 m - 2 m)/2
A = 19 m
a = 21 m
Phase
2 = 21 + 19 · sin B
- 19 = 19 · sin B
sin B = - 1
B = - π/2
h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds.
Lastly, we proceed to graph each case in the figures attached below.
To learn more on sinusoidal models: brainly.com/question/12060967
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