By the equations according to the <em>cylindrical</em> system of coordinates, the equation for a helix are x = 8 · cos (2π · t /T), y = 8 · sin (2π · t /T) and z = 6 · (t/T).
<h3>How to derive the equations of a helix in cylindrical form</h3>
According to the <em>cylindrical</em> system of coordinates, helix can be described by the following equations:
Radius
x = r · cos (2π · t /T) (1)
y = r · sin (2π · t /T) (2)
Height
z = H · (t/T) (3)
Where T is the period of one <em>complete</em> revolution.
If we know that r = 8 and H = 6, then the equations for the helix is:
x = 8 · cos (2π · t /T)
y = 8 · sin (2π · t /T)
z = 6 · (t/T)
How to learn more on helices: brainly.com/question/16911869
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Answer:
a.
Explanation:
In the chart, the average temperature of each month at the beginning of the year gradually rises until August, where it begins to decrease. This trend is displayed in graph a. Additionally, each month on the x-axis is shown correctly because the months should only span numbers 1-12.
Answer:
(10, 5)
Step-by-step explanation:
(0, 5) reflected over x=5 becomes 10 units away from x = 0
Answer:
y = 3/4x + 17/4
Step-by-step explanation:
y-intercept= 8 - (3/4)(5) = 8 - 15/4 (8*4-15)/4
= 17/4
Total ratio = 2 + 1 = 3
Number of men = 2/ 3 × 24
=16
Therefore, 16 men are using the gym
