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skad [1K]
2 years ago
7

Find the value of X PLEASE

Mathematics
1 answer:
Oliga [24]2 years ago
3 0

Answer:

x ≈ 18

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA

  • a is a side length
  • b is a side length
  • c is a side length
  • A is an angle corresponding with side a

Step-by-step explanation:

<u>Step 1: Define</u>

a = x

A = 30°

b = 16

c = 30

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

  1. Substitute:                    x² = 16² + 30² - 2(16)(30)cos30°
  2. Exponents:                   x² = 256 + 900 -2(16)(30)cos30°
  3. Evaluate:                       x² = 256 + 900 -2(16)(30)(√3/2)
  4. Multiply:                        x² = 256 + 900 - 480√3
  5. Add:                              x² = 1156 - 480√3
  6. Subtract:                       x² = 324.616
  7. Isolate <em>x</em>:                       x = √324.616
  8. Evaluate:                       x = 18.0171
  9. Round:                          x ≈ 18
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Step-by-step explanation:

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