Answer:
The next term in the sequence can be determined by subtracting 1.5 from 3.9 which is 2.4 and then you test it and say 3.9 plus 2.4 is 6.3 then plus 2.4 is 8.7 then the next term would be 11.11
The longest meter is 3.35
Answer:
A) 14°
Step-by-step explanation:
If α and β are the two angles other than 90° in a right triangle, then we have the relation between α and β as, α+β=90°.
Therefore, Sin α = Sin (90° -β) =Cos β.
So, we can write the reverse as if Sin α = Cosβ, then we have α + β =90°.
It is given that, Sin (3x-27) = Cos (5x+5).
Hence, we can write (3x-27) + (5x + 5) = 90
⇒ 8x = 90+27-5 =112
⇒ x = 14°
Therefore, option A. is correct. (Answer)
Answer:
a)
, b) 
Step-by-step explanation:
a) The rate of change of the brightness of the Cepheid can be determined by deriving the function in time:


b) The rate of increase after one day is:

