Respuesta :

Space

Answer:

AB ≈ 9.46

General Formulas and Concepts:

Math

  • Round

Pre-Algebra

Order of Operations: BPEMDAS

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Trigonometry

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = 25°

Adjacent Leg = 4

Hypotenuse = AB

Step 2: Solve for AB

  1. Substitute in variables [cosine]:                                                                       sin25° = 4/AB
  2. [Multiplication Property of Equality] Multiply AB on both sides:                   ABsin25° = 4
  3. [Division Property of Equality] Isolate AB:                                                      AB = 4/sin25°
  4. Evaluate:                                                                                                           AB = 9.46481
  5. Round:                                                                                                               AB ≈ 9.46

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