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b ≈ 3.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 1

c = 4

Step 2: Solve for b

Substitute in variables [Pythagorean Theorem]:                                            1² + b² = 4²Evaluate exponents:                                                                                         1 + b² = 16[Subtraction Property of Equality] Subtract 1 on both sides:                         b² = 15[Equality Property] Square root both sides:                                                    b = √15[√Radical] Evaluate:                                                                                         b = 3.87298Round:                                                                                                               b ≈ 3.9