The numbers that are irrational are B. √72 and D.√23.
<h3>What are irrational numbers?</h3>
Irrational numbers are those that have infinite numbers after the decimal. These numbers are also none repeating.
When the above are solved:
√25 = 5
√144 = 12
√23 = 4.79583152331...
√72 = 8.48528137424...
The only two numbers with non-repeating and infinite numbers are √72 and √23.
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We are given an angle of elevation of 2 degrees and distance in the x axis of 5280 feet and we are asked in the problem to determine the height of the building. We use the tangent function to determine the height: that is tan 2 = h / 5280; h is equal then to 184 ft.
WE NEED THE FREAKIN' POINTS
Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.
<h3>
Which is the graph of cotangent of x?</h3>
Remember that cot(x) = 1/tan(x).
Then we can rewrite:
cot(x) = cos(x)/sin(x).
We know that for x = 0, we have:
cot(0) = cos(0)/sin(0) = 1/0
Then we have a vertical asymptote that tends to ± infinity.
The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.
From that, we conclude that the correct option is B.
If you want to learn more about trigonometric functions:
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Answer:
Step-by-step explanation:
(3/8)x - 9 + 4/5
40(3/8x - 9 + 4/5)
15x - 360 + 32
15x - 328