Determine whether the Law of Sines or the Law of Cosines should be used to begin to solve the given triangle. Do not solve the triangle.

A. Law of Sines
B. Law of Cosines

Answer: A

Mathematics

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Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.g(x + f(x)), x = 3

A. -5 B. -30 C. -35 D. 21

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Mathematics

Complete the table.  Object  Millimeters   (mm)  Centimeters  (cm)  Meters  (m)Thickness of book  29  ?

A.

  Object  Millimeters 
  (mm)		  Centimeters
  (cm)		  Meters
  (m)
 Thickness of book  29  0.29  0.0029 

B.
  Object  Millimeters 
  (mm)		  Centimeters
  (cm)		  Meters
  (m)
Thickness of book  29  290  29,000

C.
  Object  Millimeters 
  (mm)		  Centimeters
  (cm)		  Meters
  (m)
 Thickness of book  29  2.9   0.029 

D.
  Object  Millimeters 
  (mm)		  Centimeters
  (cm)		  Meters
  (m)
Thickness of book  29  0.29  0.029 

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Mathematics

Write the compound statement in words.Let r = "The puppy is trained."  p = "The puppy behaves well."  q = "His owners are happy."(~r ? ~p) ? ~q

A. The puppy is not trained or the puppy does not behave well, and his owners are not happy. B. If the puppy is not trained and the puppy does not behave well, then his owners are not happy. C. If the puppy is not trained then the puppy does not behave well and his owners are not happy. D. If the puppy is not trained or the puppy does not behave well, then his owners are not happy.

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Mathematics

Find  by implicit differentiation. ? 

What will be an ideal response?

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Mathematics