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velikii [3]
3 years ago
5

Does anyone know how to do this math problem?​

Mathematics
1 answer:
telo118 [61]3 years ago
7 0

Answer:

1,-2

Step-by-step explanation:

Multiply top equation by 3 and bottom by 2

6p+9q=-12

6p+10q=-14

Do bottom - top

(6p+10q)-(6p+9q)= (-14) - (-12)

q = -2

6p + 9(-2)=-12 = 6p=18

6p=18-12=6

p=1

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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
Solve for the missing sides and show all the work.
erastovalidia [21]

So, first you must find the remaining angle measure. To do this add 25 and 90 then subtract from 180. The remaining angle measure is 65 degrees.

Next, use tangent, cosine, or sine to find the remaining side lengths.

I used sine of 25 which is opposite of hypo. which is sine 25 = y/43.

Multiply both side by 43 and you get y=18.17

Do the same to find x, but use the sine of 65, and you get sine 65 = x/43.

Multiply both sides by 43 and you get x=38.97

Hope this helped!

3 0
3 years ago
A coin is flipped three times. How does P(H, H, H) compare to P(H, T, H)?
Gekata [30.6K]
P(H,H,H)=P(H,T,H)

This is classical probability, so the probability of an event is the number of "favorable" events over total events.

The total number of events, by the counting principle, is 2^3=8.
The total number of events remains the same for P(H,H,H) and P(H,T,H), as you're still flipping 3 coins with two sides.

For P(H,H,H) the favorable event is (H,H,H) so 1, for P(H,T,H) the favorable event is (H,T,H) also one.

Conclusion:

P(H,H,H)=P(H,T,H)=1/8
3 0
4 years ago
Describe the solution to the inequality c is lesser than or equal to -2
nadya68 [22]

Answer: The solution would be any value that is -2 and lower.


Step-by-step explanation:

Okay, so our equation is c ≤ -2, so any value that is -2 and below would be correct for this inequality.

4 0
3 years ago
WHOEVER ANSWERS FIRST GETS BRAINLIEST, 5 STARS, AND A THANK YOU.
Arisa [49]

Answer:

I answer first

Step-by-step explanation:

lol

7 0
3 years ago
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