AC=?
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AC ≈ 3.76

General Formulas and Concepts:

Math

Rounding

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] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = 70°

Opposite Leg = AC

Hypotenuse = 4

Step 2: Solve for AC

Substitute in variables [sine]:                                                                           sin70° = AC/4[Multiplication Property of Equality] Isolate AC:                                             4sin70° = ACRewrite:                                                                                                             AC = 4sin70°Evaluate:                                                                                                           AC = 3.75877Round:                                                                                                               AC ≈ 3.76

If the diameter is 8 than the radius is 4 because 2r or 2*radius equals the diameter. 4*2=8. 8/2=4.