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azamat
3 years ago
10

Find the rectangular coordinates of the point that has polar coordinates , 4, −3π/4

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0
Hello : 
 x= r cos<span>θ
 y= r sin</span><span>θ
r = 4   and  </span>θ =<span> −3π/4
cos( </span> −3π/4 )  = cos(  3π/4 ) = cos ( π - <span>π/4) = - cos (</span><span>π/4)= - </span><span>√2/2
</span>sin(  −3π/4 )  =  -  sin(  3π/4 ) = - sin ( π - π/4) = -sin (π/4)= - √2/2
x = - 2 √2
 y = - 2 √2

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Out of all the factors of 21, we cannot get 21 when the two die are rolled as the maximum sum that can be obtained is 12

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Total outcome = 6 X 6

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Number of outcomes that is the factor of 21 is 8

The probability of getting a total that is a factor of 21 is \frac{8}{36}

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