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➷ Put -2 everywhere you see x:
f(-2) = 5(-2)
f(-2) = -10
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Answer:
x = 23 degrees
Step-by-step explanation:
sin theta = opposite side/ hypotenuse
sin x= 9/23
Take the arcsin of each side
arcsin( sinx) = arcsin (9/23)
x = arcsin (9/23)
x=23.03568411
Rounding to the nearest degree
x = 23 degrees
Answer:
(5x+1)(x+7)
Step-by-step explanation:
4x^2+26x+6+x^2+10x
5x^2+36x+7
(5x+1)(x+7)
Prove
5x*x + 5x*7 + 1*x + 1*7
= 5x^2 + 35x + x + 7
= 5x^2 + 36x + 7
Considering the period of the cosine function, it is found that it takes 40 seconds for the wheel to complete one turn.
<h3>What is the period of the cosine function?</h3>
The cosine function is defined by:
f(x) = acos(bx + c) + d.
For the period, we have to look at coefficient b, and the period is:
P = 2π/|B|
For this problem, the function is given by:
h(x) = 15 cos(π/20)
Hence B = π/20, and the period is:
P = 2π/|B| = 2π/(π/20) = 2 x 20 = 40 seconds.
Hence it takes 40 seconds for the wheel to complete one turn.
More can be learned about the period of trigonometric functions at brainly.com/question/12502943
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