AB ≈ 14.3
General Formulas and Concepts:
Math
Rounding
If Z is < 5, then you round downIf Z is ≥ 5, then you round up
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right Â
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Pre-Calculus
Law of Cosines: a² = b² + c² - 2(b)(c)cosA°
Step-by-step explanation:
Step 1: Identify
a = x, b = 16, c = 5
A = 61°
Step 2: Solve for x
Substitute in variables [Law of Cosines]:                            x² = 16² + 5² - 2(16)(5)cos61°Evaluate Exponents:                                            x² = 256 + 25 - 2(16)(5)cos61°Multiply:                                                       x² = 256 + 25 - 160cos61°Evaluate Trig:                                                    x² = 256 + 25 - 160(0.48481)Multiply:                                                         x² = 256 + 25 - 77.5695Add:                                                           x² = 281 - 77.5695Subtract:                                                       x² = 203.43[Equality Property] Square root both sides:                           x = 14.2629Round:                                                        x ≈ 14.3