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sweet [91]
3 years ago
8

a green ribbon is 9 inches long. a red ribbon is 1/10 the length of the green ribbon. a purple ribbon is 10 times as long as the

red ribbon. what is the length of the purple ribbon?
Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0
Answer: 900 inch
There is 3 ribbon in this question, Red ribbon(R), green ribbon(G) and purple ribbon(P). The relation would be
1. R= 9 inch
2. R= 1/10 G
3. P= 10 G

If you insert equation 1 into 2 then you will get:
9inch= 1/10G
G= 90 inch

After that insert the new equation into equation 3:
P= 10x 90 inch
P= 900inch
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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
Hi! Please do ALL problems for 50 pts and brainlest:)
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Step-by-step explanation: Hope this helped! :)

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Step-by-step explanation:

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