Based on the hints of distinguishing between <em>radical</em> and <em>non-radical</em> numbers, we have the following lists:
, 
, 2.5, 
- 3.01,
,
, 
, - 4.1, 4.01, 
- - 2.5,
, 
, 2.5
<h3>How to order numbers from least to greatest</h3>
In this question we must order sets of numbers in ascending order. A hint consists in comparing <em>non-radical</em> numbers with the <em>closest</em> <em>radical</em> numbers whose results are integers.
In consequence, we obtain the following orders:
- , , 2.5,
- 3.01, ,,
- , - 4.1, 4.01,
- - 2.5, , , 2.5
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<h3>Answers are:
sine, tangent, cosecant, cotangent</h3>
Explanation:
On the unit circle we have some point (x,y) such that x = cos(theta) and y = sin(theta). The sine corresponds to the y coordinate of the point on the circle. Quadrant IV is below the x axis which explains why sine is negative here, since y < 0 here.
Since sine is negative, so is cosecant as this is the reciprocal of sine
csc = 1/sin
In quadrant IV, cosine is positive as x > 0 here. So the ratio tan = sin/cos is going to be negative. We have a negative over a positive when we divide.
Because tangent is negative, so is cotangent.
The only positive functions in Q4 are cosine and secant, which is because sec = 1/cos.
The answer is D because you just multiply the percent times 40 to get 12.
Answer:
Step-by-step explanation:
So we have the inequality:
Definition of Absolute Value:
Note that the sign is flipped in the second case because we multiplied by a negative.
Add 5 to both sides to both equations:
Merge:
And we're done!
Answer:
Step-by-step explanation:
