Solve the Triangle C=30 , A=89 , b=7

Solve the Triangle C=30 , A=89 , b=7
, ,
The sum of all the angles in a triangle is degrees.
Solve the equation for .
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Add and .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Substitute the known values into the law of sines to find .
Solve the equation for .
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Factor each term.
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Evaluate .
Evaluate .
Divide by .
Solve for .
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Multiply each term by and simplify.
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Multiply each term in by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Rewrite the equation as .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
Divide by .
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Substitute the known values into the law of sines to find .
Solve the equation for .
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Factor each term.
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The exact value of is .
Multiply the numerator by the reciprocal of the denominator.
Multiply and .
Evaluate .
Divide by .
Solve for .
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Multiply each term by and simplify.
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Multiply each term in by .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite the equation as .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
Simplify .
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Divide by .
Combine and .
Divide by .
These are the results for all angles and sides for the given triangle.
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Name

Name one billion eight hundred fifty-six million nine hundred one thousand one hundred sixty-two

Interesting facts

  • 1856901162 has 32 divisors, whose sum is 3803155200
  • The reverse of 1856901162 is 2611096581
  • Previous prime number is 89

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3

Name

Name eight hundred thirty-two million one hundred nine thousand seven hundred forty-seven

Interesting facts

  • 832109747 has 8 divisors, whose sum is 960787296
  • The reverse of 832109747 is 747901238
  • Previous prime number is 97

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 41
  • Digital Root 5

Name

Name one billion seven hundred twenty-eight million six thousand sixty-eight

Interesting facts

  • 1728006068 has 16 divisors, whose sum is 3941274780
  • The reverse of 1728006068 is 8606008271
  • Previous prime number is 73

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2