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2 years ago

Find the value of X PLEASE

Mathematics

1 answer:

Oliga [24]2 years ago

3 0

Answer:

x ≈ 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Trigonometry

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:

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√3
Add: x² = 1156 - 480√3
Subtract: x² = 324.616
Isolate x: x = √324.616
Evaluate: x = 18.0171
Round: x ≈ 18

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2 years ago

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Answer:

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