I could use some help with these two problems. I also need help with my question before this one.
1 answer:
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Answer: Ф = 20
Step-by-step explanation:
sin2Ф = cos (Ф+ 30 )
if sinα = cosβ , then α and β are complementary ,that is they add up to be .
Therefore : 2Ф + Ф + 30 = 90
3Ф + 30 = 90
3Ф = 90 - 30
3Ф = 60
Ф = 20
(a) 32 orange marbles
the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )
the ratio of green : orange = 3 : 8 ( equal ratio )
divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles
3 parts → 12
8 parts → 12 × = 32 orange marbles