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Firlakuza [10]
2 years ago
7

Select all the expressions that have a value of 40 when x = 10.8.

Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

Answer:

the third expression

Step-by-step explanation:

x=10.8

(x2 / 18) + 33.52

10.8 x 10.8=116.64

116.64 divide by 18=6.48

6.48 + 33.52=40

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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:

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Step-by-step explanation:

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