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Answer: 0.000000137
Explanation:
I hope this helped!
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Answer: 5%
Step-by-step explanation:
To find the sales tax, find the difference between before and after tax:
0.63 - 0.60 = 0.03
To find the percentage, divide the difference by the cost of the product:
0.03/0.60 = 0.05
Multiply by 100 to find percent sales tax:
0.05 x 100 = 5%
cosθ = cotθ/cscθ is a true statement. The answer is option B
<h3>How to determine which of the trigonometric statements are true?</h3>
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles
A. tan²θ = 1 - sec²θ
tan²θ = 1 - sec²θ
tan²θ = 1 - 1/cos²θ (Note: sec²θ = 1/cos²θ)
tan²θ = (cos²θ- 1)/cos²θ
tan²θ = -sin²θ/cos²θ (Note: cos²θ- 1 = -sin²θ)
tan²θ = -tan²θ
This statement is not true
B. cosθ = cotθ/cscθ
cosθ = cotθ/cscθ
cosθ = (1/tanθ) / (1/sinθ)
cosθ = (cosθ/sinθ).sinθ
cosθ = cosθ
This statement is true
C. 1/sec²θ = sin²θ + 1
1/sec²θ = 1/(1/cos²θ)
1/sec²θ = cos²θ
1/sec²θ = 1 - sin²θ
This statement is not true
D. sec²θ - 1 = 1/cot²θ
sec²θ - 1 = 1/cos²θ - 1
sec²θ - 1 = (1-cos²θ)/cos²θ
sec²θ - 1 = sin²θ/cos²θ
sec²θ - 1 = tan²θ
This statement is not true
E. sinθ cscθ = tan θ
sinθ cscθ = tan θ
sinθ cscθ = sinθ (1/sinθ)
sinθ cscθ = 1
This statement is not true
Therefore, the true statement is cosθ = cotθ/cscθ
Learn more about Trigonometry on:
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The line drops 4 units between the points (1, 6) and (6, 2) as it goes over 5 units. Thus the point-slope form of the equation can be written as
... y - k = m(x - h) . . . . . . line with slope m through point (h, k)
... y - 6 = (-4/5)(x - 1)
Multiplying by 5 and subtracting the right side gives ...
... 5y - 30 = -4x +4
... 4x + 5y - 34 = 0 . . . . . equation in general form
Answer:
The required inequality is: 
The graph is shown in figure.
Step-by-step explanation:
Consider the provided information.
Chad will need at least 24 minutes to complete the 5K race. However, he wants to finish in under 30 minutes.
Let the time taken to finish the race is represented by x.
Chad need at least 24 minutes and he wants to finish in under 30 minutes.
Thus, the required inequality is:
Now draw the graph of the inequality.
Use a dot or close circle to represents ≤ and use an open circle to represent <.
The value of x is greater than or equal to 24 but less than 30, Thus the required graph is shown in figure.
