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irina1246 [14]
3 years ago
10

I very much need help, please. This is trigonometry.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0

Answer:

ML=8.8

sin(66)= 8/x

LK=3.6

tan(66)= 8/x

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
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Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

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6 0
3 years ago
You have cup of cornmeal in your cupboard. A recipe for muffins calls for
Dahasolnce [82]
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3 years ago
Alexandra and Austin applied to the same university. They looked up the average SAT score of students admitted to that universit
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Answer:

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Step-by-step explanation:

According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.

Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:

x= difference in their scores

y= average score

x= (y+40)-(y-330)

7 0
3 years ago
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klasskru [66]
Difference
1 2 3 4 5 ... n
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Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d
zhuklara [117]
Step 1:
Set Variables (We will use x & y)

x = years
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Step 2:
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Step 3:
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784 - 25x = 817 - 36x
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5 0
3 years ago
Read 2 more answers
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