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dolphi86 [110]
3 years ago
13

le" class="latex-formula">
Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

15.38462 is the answer i think

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If tan theta = 12/5 and cos theta < 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
 cos Ф>0   ⇔  sec Ф>0  ⇔  sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1  ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0   ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
Which table shows the function y = -2x + 4?
Annette [7]
The table that show the function <span>y = -2x + 4? is table A.</span>
6 0
3 years ago
Read 2 more answers
A teacher plans a simulation to estimate the probability that a student will pick a vowel out of a bag of 26 tiles, each with a
OleMash [197]

Answer:

No, because the probabilities of drawing a vowel versus a constant are not equally likely.

Step-by-step explanation:

Each number in a random number generator is equally likely.  If she assigns only the number 1 to vowels and only the number 2 to consonants, she will get results showing that they are equally likely.

In reality, 5 of the 26 letters are vowels (not including y).  The teacher should assign numbers 1 through 5 to vowels, and numbers 6 through 26 to consonants.  This will be a fair representation.

6 0
3 years ago
Help me with this question please anybody
ehidna [41]

Answer:

  x = 19

Step-by-step explanation:

The work shown is almost complete. It can be finished by multiplying both sides of the equation by the inverse of the coefficient of x.

  x-coefficient: -1/3

  inverse of x-coefficient = 1/(-1/3) = -3

Then you have ...

  -3\left(-\dfrac{19}{3}\right)=-3\left(-\dfrac{1}{3}x\right)\\\\19=x\qquad\text{simplify}\\\\\boxed{x=19}

6 0
1 year ago
Can you guys help this is a test plz help
Oksanka [162]

Answer:

141.6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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