Use trigonometric identities to ﬁnd the exact value sin 10° cos 50° + cos 10° sin 50°

Mathematics

1 answer:

ANTONII [103]3 years ago

8 0

Answer:

Step-by-step explanation:

Sin A Cos B + Cos A Sin B = Sin (A +B)

Sin 10 cos 50 + Cos 10 Sin 50 = Sin (10 + 50) = Sin 60 = √3/2

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Paul is three times as old as Mary and Peter is four times as old as Mary,If the sum of their ages is 64, how old are Peter,Paul

uysha [10]

Let Mary's age be x.

Paul is three times as old as Mary, so Paul's age would be 3x.

Peter is four times as old as Mary, so Peter's age would be 4x.

The sum of their ages is 64
⇒ Paul's age+ Peter's age+ Mary's age= 64
⇒ 3x+ 4x+ x= 64
⇒ 8x= 64
⇒ x= 64/8
⇒ x= 8

Paul's age is: 3x= 3*8= 24

Peter's age is: 4x= 4*8= 32

Final answer: Paul is 24 years old.
Peter is 32 years old.
Mary is 8 years old.

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