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What does y equal? A. 51 B. 39 C. 37

What Does Y Equal A 51 B 39 C 37 class=

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Answer:

B. 39°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Equality Properties

Geometry

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify

Angle θ = y

Opposite Leg = 8

Adjacent Leg = 10

Step 2: Solve for y

  1. Substitute [Tangent]:                    tan(y) = 8/10
  2. Simplify:                                         tan(y) = 4/5
  3. Inverse Trig:                                  y = tan⁻¹(4/5)
  4. Evaluate:                                        y = 38.6598
  5. Round:                                           y ≈ 39°
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