The sum of a number, n, and a number 5 larger than it is 41. Which of the following equations could be used

Mathematics

1 answer:

Afina-wow [57]3 years ago

3 0

I think it (3) one I’m not sure

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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

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Answer: C, 3 HOURS

Step-by-step explanation:

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It takes Winnie 26 minutes to type and spell check 14 pages of a manuscript. Find how long it takes her to type and spell check

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Step-by-step explanation: