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Leno4ka [110]
3 years ago
9

Cos(theta)= -.9041, 180degress< theta <270degress

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

\theta=205.298^o

Step-by-step explanation:

We know

cos\theta=-.9041

in the third quadrant 180^o

We use a scientific calculator to find the inverse cosine of -0.9041 to find

\theta=154.702^o

Since this angle is not in the required quadrant we must find the other angle who has the same cosine. The required angle is equidistant from the found value from the 180 degrees angle, so our solution is

\theta=180^o+(180^o-154.702)=205.298^o

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Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet
zmey [24]

Answer:

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

hypotenuse^2=perpendicular^2+base^2

hypotenuse^2=(5)^2+(12)^2

hypotenuse^2=25+144

hypotenuse^2=169

Taking square root on both sides.

hypotenuse=13

In a right angled triangle

\sin \theta = \dfrac{opposite}{hypotenuse}

\sin \theta = \dfrac{5}{13}

\sec \theta = \dfrac{hypotenuse}{adjacent}

\sec \theta = \dfrac{13}{12}

In second quadrant only sine and cosecant are positive.

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

6 0
3 years ago
Determine if a triangle can be formed with the given lengths. If it can, classify it as acute,
lisabon 2012 [21]

Answer:

steps below

Step-by-step explanation:

1. It can be formed a triangle: sum of any two sides is greater than the 3rd side

2. It can't be an obtuse triangle: 5² + 7² = 74 < 10²

   the triangle is an obtuse-angled triangle if  the square of the longest side (c²) is greater than the sum of the square of other two sides (c²>a²+b²)

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3 years ago
Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
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Answer:

  A.  3.66 feet

Step-by-step explanation:

Using trigonometry, we know that ...

  BC = DC·tan(30°)

  AC = DC·tan(45°)

  AB = AC -BC = DC(tan(45°) -tan(30°))

  AB = 5√3·(1 -√3/3) = 5(√3 -1)

  AB ≈ 3.66 . . . feet

8 0
3 years ago
Graph the equation y=4x+1 by plotting points.
lidiya [134]

Look at the attached image (credit to Desmos graphing calculator)

To graph the equation y=4x+1, we just find two points that exist, plot them, and draw a straight line that goes through them.

Let's try x=0:

y=4(0)+1=1

One point on the line is (0,1)

Let's try x=1:

y=4(1)+1=5

Another point is (1,5).

Now, plot these two points and draw a line through them.

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B8%20%2B%20%20%5Csqrt%7B2%7D%20i%7D%7B3%20-%204i%7D%20" id="TexFormula1" title=" \
Alexus [3.1K]
Easy...
the root of 2 Is approximately 1.4 to 12343910 to the power of five to the six of the 7×3 which equals to five and then you have to divided by 3.3-40+ -1 so you had to do 8+1.4239 110 but she was to 9.1 9.423910 and then divided by -1 which to your power you get your mom God he
5 0
3 years ago
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