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Aleksandr [31]
3 years ago
9

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

Mathematics
1 answer:
Harman [31]3 years ago
6 0
J: 1/12
m: 1/12

i think this is the answer. hope it helps :)
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428 is greater to or less or equal to 3 hundred 12 tens 8 ones
VLD [36.1K]

Answer:

428 is equal to 428  

Step-by-step explanation:

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3 years ago
How to solve this trigonometric equation cos3x + sin5x = 0
mrs_skeptik [129]

Answer:

  x = {nπ -π/4, (4nπ -π)/16}

Step-by-step explanation:

It can be helpful to make use of the identities for angle sums and differences to rewrite the sum:

  cos(3x) +sin(5x) = cos(4x -x) +sin(4x +x)

  = cos(4x)cos(x) +sin(4x)sin(x) +sin(4x)cos(x) +cos(4x)sin(x)

  = sin(x)(sin(4x) +cos(4x)) +cos(x)(sin(4x) +cos(4x))

  = (sin(x) +cos(x))·(sin(4x) +cos(4x))

Each of the sums in this product is of the same form, so each can be simplified using the identity ...

  sin(x) +cos(x) = √2·sin(x +π/4)

Then the given equation can be rewritten as ...

  cos(3x) +sin(5x) = 0

  2·sin(x +π/4)·sin(4x +π/4) = 0

Of course sin(x) = 0 for x = n·π, so these factors are zero when ...

  sin(x +π/4) = 0   ⇒   x = nπ -π/4

  sin(4x +π/4) = 0   ⇒   x = (nπ -π/4)/4 = (4nπ -π)/16

The solutions are ...

  x ∈ {(n-1)π/4, (4n-1)π/16} . . . . . for any integer n

5 0
3 years ago
What is 5 over 8 in decimal form
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4 0
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Look at the figure. Which of the following segments is parallel to AB?
marusya05 [52]
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Lou eats 6/8 of pizza. what fraction of the pizza is left over?
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Hope this helped!
4 0
3 years ago
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