If the number k is greater than 3, we have the following inequality:
In order to evaluate k/3, let's divide the inequality by 3:
So the expression k/3 is greater than 1, therefore the correct option is D.
Sketch an angle theta in standard position such that theta has the least possible positive measure and the point (-2, Square roo
1 answer:
A sketch of the angle is attached and the six trigonometric functions for each angle are;
sinθ = -½
cosθ = -(√3)/2
tanθ = (√3)/3
cscθ = -2
secθ = -(2√3)/3
cotθ = √3
<h3>How to find the trigonometric ratios?</h3>
We can use the unit circle to figure out the trigonometric functions of θ.
Both the x- and y- coordinates are in the third quadrant, so θ is an obtuse angle (210°), as seen in the figure below.
An angle in standard position is an angle measured with respect to the +x semi-axis. In this question we must derive the six trigonometric functions from the distances between a given point and the origin. The trigonometric functions are described below:
sinθ = -2/4 = -½
cosθ = (-2√3)/4 = -(√3)/2
tanθ = -2/(-2√3) = 1/√3 = (√3)/3
cscθ = 1/sin θ = 1/-½ = -2
secθ = 1/cosθ = 4/(-2√3) = -2/√3 = -(2√3)/3
cotθ = 1/tan θ = -2√3/(-2) = √3
Read more about Trigonometric ratios at; brainly.com/question/10167729
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Given:
The value of home in 2011 is $95,000.
The value of home in 2018 is $105,000.
To find:
The exponential model for the value of the home.
Solution:
The general exponential model is
...(i)
where, a is initial value and b is growth factor.
Let 2011 is initial year and x be the number of years after 2011.
So, initial value of home is 95,000, i.e., a=95,000.
Put a=95000 in (i).
...(ii)
The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.
Taking 7th root on both sides, we get
Put in (ii).
Therefore, the required exponential model for the value of home is , where x is the number of years after 2011.