They are 1st one is vertical angles, second one is complementary
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
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The most appropriate choice for ratio will be given by-
Jim did not write the correct equivalent ratio.
What is ratio?
Ratio is used to compare between two numbers of the same unit. Ratio determines how much one number is bigger as compared to other.
Suppose the ratio is a : b. a is called the antecedent and b is called the consequent.
Equivalent ratio of
Answer of Cristal = which is equal to .So answer of Cristal is correct
Answer of Esmeralda = which is equal to . So answer of Esmeralda is correct
Answer of Jim = which is equal to .So answer of Jim is not correct
Answer of Marcus = which is equal to . So answer of Marcus is correct
So Jim did not write the correct equivalent ratio.
To learn more about ratio, refer to the link:
brainly.com/question/2328454
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Complete Question
Four students were asked to write a ratio equivalent to Their answers are shown below.
Cristal
Esmeralda
Jim
Marcus
Which student did not write a ratio that is equivalent to ?
If the question is : how many employees were fired/quit, then :
50-24 = 26
26 employees were fired or quit :)
Hope that helped!
Have a great day :)