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zlopas [31]
3 years ago
7

Solve for X to the nearest tenth.

Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

x ≈ 24.4

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u> </u>

<u>Trigonometry</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = 38°

Adjacent Leg = <em>x</em>

Hypotenuse = 31 cm

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [cosine]:                                                                       cos38° = x/31
  2. [Multiplication Property of Equality] Multiply 31 on both sides:                     31cos38° = x
  3. Rewrite:                                                                                                             x = 31cos38°
  4. Evaluate:                                                                                                           x = 24.4283
  5. Round:                                                                                                               x ≈ 24.4
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