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Anni [7]
3 years ago
15

I don't understand this at all plz just help no explanation needed

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer: 24

Step-by-step explanation:

i solved it and can give explanation if needed :)

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Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this
Lena [83]

Answer:

\sin\,\theta =-\frac{\sqrt{21} }{5}

\tan\,\theta =\frac{\sqrt{21} }{2}

\sec\,\theta = \frac{-5}{2}

cosec\,\theta =\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{2}{\sqrt{21} }

Step-by-step explanation:

\cos\theta =\frac{-2}{5}

As both sin\,\theta,

\theta lies in the third quadrant.

In the third quadrant,

\sin\theta

\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}

\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}

\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}

\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }

3 0
3 years ago
Y=-3x+2, find the y-values for <br> (0,?)<br> (-1,?)<br> (1,?)<br> (1/3,?)
s2008m [1.1K]

y = -3x + 2

1) x = 0

  y = (-3)*0 + 2

  y = 2

(0,2)

2) x = -1

  y = (-3)*(-1) + 2

  y = 5

(-1,5)

3) x = 1

  y = (-3)*1 + 2

  y = -1

(1,-1)

4) x = 1/3

  y = (-3)*(1/3) + 2

  y = 1

(1/3,1)

8 0
3 years ago
Read 2 more answers
Question 1 of 10 10 Points AB¯¯¯¯¯¯¯¯ is the diameter of circle T. Point A is located at (-4,2) and point B is located at (2,-8)
wariber [46]

Answer:

The coordinates of the center of this circle is (-1, -3).

Step-by-step explanation:

As we know that A = (-4,2) and B = (2,-8) are points lying on circle T, the center is the midpoint of the segment AB, whose location can be obtained from Midpoint formula:

C = \frac{1}{2}\cdot A + \frac{1}{2}\cdot B

C = \frac{1}{2}\cdot (-4,2)+\frac{1}{2}\cdot (2,-8)

C = (-2, 1)+(1,-4)

C=(-2+1,1-4)

C=(-1,-3)

The coordinates of the center of this circle is (-1, -3).

6 0
4 years ago
The sum of 2 numbers is 16, and the sum of their squares is 146. find the 2 numbers
sashaice [31]

Step-by-step explanation:

x + y = 16 (*)

x^2 + y^2 = 146 (**)

(*) <=> x= 16-y

substitute x = 16 - y

(**) <=> (16-y)^2 + y^2 = 146

<=> y^2 - 2.16.y + 16^2 + y^2 = 146

<=> 2y^2 - 32y + 110 = 0

<=> y^2 - 16y + 55 = 0

<=> (y-11)(y-5) = 0

<=> y=11 or y= 5

For y = 11, we have x= 16-11=5

For y=5, we have x= 16-5=11

Answer: (x,y) = (11,5) ; (5,11)

3 0
3 years ago
Points​ a, b,​ c, and d are collinear. in how many ways can the line be named using only these​ points
lisov135 [29]
The line can be named 3 times
8 0
3 years ago
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