Answer:
calculus, geometry, arithmetic among a few
Step-by-step explanation:
Mathematics is involved in winter Olympics in different aspects like arithmetic which helps in scores, measurements, quantities and motion of the sport like hockey, running.
Scoring in ice skating involves arithmetic operation when an individual element is assigned points and judged on performance level( triple axle is 3 points but overall performance and artistry is measured by the judges).
Another is Calculus which helps to understand the change in acceleration and velocities while each skaters start at zero then win, Lines in Geometry such as the finish/start/sight lines helps players with angles of reflection, measuring angles and angles of incidence.
The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
<h3>The sinusoidal function</h3>
The minimum and the maximum of the function are
The amplitude (A) is calculated as:
A = 0.5 * (Maximum - Minimum)
So, we have:
A = 0.5 * (-5 + 1)
A = -2
The vertical shift (d) is calculated as:
d = 0.5 * (Maximum + Minimum)
So, we have:
d = 0.5 * (-5 - 1)
d = -3
The period (P) is calculated as:
P = 2π/B
From the graph,
B = 1
So, we have:
P = 2π/1
P = 2π
So, the amplitude is -2 and the period is 2π.
<h3>The equation of the sine function</h3>
In (a), we have:
A = -2
B = 1
d = -3
A sine function is represented as:
y = A sin(Bx + C) + D
So, we have:
y = -2sin(x + C) - 3
The graph passes through the point (0, -5)
So, we have
-5 = -2sin(0 + C) - 3
Solve for C, we have
C = 1.5
So, we have:
y = -2sin(x + 1.5) - 3
Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
Read more about sinusoidal function at
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Answer:
45 degrees
Step-by-step explanation:
360 degrees is a whole circle, and there are 8 slots
360 / 8 = 45
Answer:
x=(k+3)/y
Step-by-step explanation
First, we simplify by adding 3 to both sides of the equation
xy-3+3=k+3
Now it's xy=k+3
To get x we divide both sides by y
So x=(k+3)/y
