Find the value of X

PLEASE

x ≈ 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Trigonometry

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

a is a side lengthb is a side lengthc is a side lengthA is an angle corresponding with side a

Step-by-step explanation:

Step 1: Define

a = x

A = 30°

b = 16

c = 30

Step 2: Solve for x

Substitute:                    x² = 16² + 30² - 2(16)(30)cos30°Exponents:                   x² = 256 + 900 -2(16)(30)cos30°Evaluate:                       x² = 256 + 900 -2(16)(30)(√3/2)Multiply:                        x² = 256 + 900 - 480√3Add:                              x² = 1156 - 480√3Subtract:                       x² = 324.616Isolate x:                       x = √324.616Evaluate:                       x = 18.0171Round:                          x ≈ 18

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