Answer:
The answer is C: cos(x)= 10/15.
Step-by-step explanation:
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<span>A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left</span>
Answer:
The inequality is 6x ≥ -24
The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)
Step-by-step explanation:
- In the inequality not more than means ≤
- In the inequality at least means ≥
Let us solve the question
∵ Six times a number x means 6 × x = 6x
∵ At least means ≥
∴ Six times a number x is at least -24 is 6x ≥ -24
∴ The inequality is 6x ≥ -24
Now we will find the solution of the inequality
∵ 6x ≥ -24
→ Divide both sides by 6
∵ 
≥ 
∴ x ≥ -4
∴ The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)
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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