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PolarNik [594]
4 years ago
14

There are 3 boxes the 1st Box contains the letters MATH the 2nd Box contains the letters AND the 3rd Box contains the letters HI

STORY every Box is chosen at random and then a letter is drawn out at random from the Box what is the probability that the outcome is the letter A
Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

2/14

Step-by-step explanation:

There are 14 letters in all of the boxes combined and only 2 of those letters are A.

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ruslelena [56]
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cosA=AC/AB
AC=AB*cosA
AC=14*cos33
use your calculator to find AC≈11.7

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A china shop receives a shipment of 125 dishes in 5 boxes at this rate how many students will receive in 15 boxes
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Answer:

375

Step-by-step explanation:

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On Monday Anya read 11 pages of a book in 1/2 hour. On Tuesday, she read 18 pages in 3/4 hour. Did Anya’s reading increase by mo
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4 years ago
(Sin4x+2Sin3x+Sin2x)/<br>Sinx=<br>2Sin3xCotx/2​
Leni [432]

Answer:

Consider the given equation.

4sinxsin2xsin4x=sin3x

2(2sin2xsinx)sin4x=sin3x

We know that

2sinAsinB=cos(A−B)−cos(A+B)

Therefore,

2[cos(2x−x)−cos(2x+x)]sin4x=sin3x

2[cosx−cos3x]sin4x=sin3x

2sin4xcosx−2sin4xcos3x=sin3x

We know that

2sinAcosB=sin(A+B)+sin(A−B)

Therefore,

sin(4x+x)+sin(4x−x)−[sin(4x+3x)+sin(4x−3x)]=sin3x

sin(5x)+sin(3x)−[sin(7x)+sin(x)]=sin3x

sin(5x)−sin(7x)=sin(x)

We know that

sinC−sinD=2cos(

2

C+D

)sin(

2

C−D

)

Therefore,

2cos(

2

5x+7x

)sin(

2

5x−7x

)=sinx

2cos(

2

12x

)sin(

2

−2x

)=sinx

2cos(6x)sin(−x)=sinx

−2cos(6x)sin(x)=sinx

cos6x=−

2

1

6x=2nπ±

3

2π

x=

3

nπ

±

9

π

Hence, the value is

3

nπ

±

9

π

.

6 0
4 years ago
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