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3 years ago

Sin (3x+19)=Cos(5x-25) What is the value of x? A) 6 B) 12 C) 18 D) 24

Mathematics

2 answers:

slavikrds [6]3 years ago

6 0

12 B
Took the test before

malfutka [58]3 years ago

5 0

Answer:

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Given

sin(3x + 19) = cos(5x - 25), then

3x + 19 = 90 - (5x - 25)

3x + 19 = 90 - 5x + 25

3x + 19 = 115 - 5x ( add 5x to both sides )

8x + 19 = 115 ( subtract 19 from both sides )

8x = 96 ( divide both sides by 8 )

x = 12 → B

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We have been given that an object that weighs 24 pounds on Mercury weighs approximately 80 pounds on Earth. A rock weighs 240 pounds on Mercury. We are asked to find the weight of rock on Earth.

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