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zloy xaker [14]
3 years ago
14

Find all solutions for a triangle with B=36 degrees, b=19, and c=36. Round to the nearest tenth.

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

we know that

Applying the law of sines

b/sin B=c/sin C-------> solve for sin C

sin C=(c/b)*sin B-----> sin C=(36/19)*sin 36

sin C=1.1137-------> the value of the sines can not be greater than 1

The side lengths and angle given cannot be used to create a triangle

therefore


with the given values ​​there is no solution to form some triangle

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Find the distance between the points ( - 9, - 12) and (18, - 12)
ANTONII [103]

Hello from MrBillDoesMath!

Answer:

27



Discussion:

By the distance formula (or Pythagorean theorem)

distance =   sqrt ( (change in x)^2 + (change in y)^2)


In our case this becomes

distance =   sqrt (   (18 - (-9) )^2 + (-12 - ( -12))^2)

               =  sqrt (    ( 18 + 9) ^2   + ( -12 + 12) ^ 2)

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               = sqrt ( 27^2)

               = 27

 

Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before



Thank you,

MrB

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3 years ago
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