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Tresset [83]
3 years ago
5

Please help me. I need help

Mathematics
2 answers:
lesya692 [45]3 years ago
6 0

Look at the first picture.

In Quadrant II tangent is negative and cosine is negative too.

We have:

\tan\theta=-\dfrac{2}{3}=\dfrac{2}{-3}

therefore we have the point (-3, 2) → x = -3 and y = 2.

Calculate r:

r=\sqrt{(-3)^2+2^2}=\sqrt{9+4}=\sqrt{13}

Calculate cosine:

\cos\theta=\dfrac{x}{r}\to\cos\theta=\dfrac{-3}{\sqrt{13}}\\\\\cos\theta=-\dfrac{3}{\sqrt{13}}\cdot\dfrac{\sqrt{13}}{\sqrt{13}}\\\\\cos\theta=-\dfrac{3\sqrt{13}}{13}

Your answer is \boxed{a.\ -\dfrac{3\sqrt{13}}{13}}

mel-nik [20]3 years ago
3 0
<h3>Answer:</h3>

  a.  -(3√13)/13

<h3>Step-by-step explanation:</h3>

The cosine can be found from the tangent by way of the secant.

  tan(θ)² +1 = sec(θ)² = 1/cos(θ)²

Then ...

  cos(θ) = ±1/√(tan(θ)² +1)

The <em>cosine is negative in the second quadrant</em>, so we will choose that sign.

  cos(θ) = -1/√((-2/3)² +1) = -1/√(4/9 +1) = -1/√(13/9)

  cos(θ) = -3/√13 = -(3√13)/13 . . . . . matches your selection A

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J=(7x+13) K=(83-2x) and the sum of the measures of the angles is 141. What is the measure of each angle
natta225 [31]

Answer:

j=76 and k=65

Step-by-step explanation:

j + k = 141 \\ 7x + 13 + 83 +  - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x =  \frac{45}{5}  \\ x = 9 \\ j = (7 \times 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\  = 83 - 18 \\  = 65

3 0
2 years ago
If 3t-7=5t, then 6t =
Natalija [7]
The answer is:  " -21 " .
__________________________________________
We are asked to solve for: "6t" ; which is: "6 * t" .
__________________________________________
Given:  3t − 7 = 5t ;  Solve for "t" ; then solve for "6t" ;

     3t − 7 = 5t ;   Subtract "3t" from each side of the equation;
____________________________________________
    3t − 7 − 3t  =  5t − 3t ;

to get:  -7  = 2t  ;

Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;

-7/2 = 2t / 2 ;

-3.5 = t  ;  ↔  t = - 3.5 ;
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Now, solve for "6t" ;

  6 t = 6*(-3.5) = - 21 .   The answer is:  " -21 " .
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6 0
3 years ago
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aleksandr82 [10.1K]

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Using the vertical line image = 4 and original = 6 , then

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4 0
2 years ago
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X=4
This is because
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8 0
3 years ago
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