Find AB.
Round to the nearest tenth

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  

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

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

the answer is 18.