A recipe that makes a dozen cookies calls for 1 1/2 cups of milk, 2.25 cups of flour, and 1 1/4 cups of other ingredients. How many cups of other ingredients, milk and flour are needed to make 36 cookies? (1 dozen is 12 cookies)

Step-by-step explanation:

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  a) x ≈ 36.87°

  b) y ≈ 53.13°

  c) they are complementary

Step-by-step explanation:

a) The tangent relation is useful:

  Tan(x°) = Opposite/Adjacent = 3/4

  x° = arctan(3/4) = 36.87°

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b) The tangent relation is useful:

  Tan(y°) = Opposite/Adjacent = 4/3

  y° = arctan(4/3) = 53.13°

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c) The acute angles in a right triangle are complementary angles.