Question

Ok LAST ONE I PRIMKSE

Answer 1

Answer:  y = 9sqrt(3)

"sqrt" is shorthand for "square root". If you need x as well, it is x = 18

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Explanation:

This is a 30-60-90 triangle. The hypotenuse is twice that of the short leg, so the hypotenuse is x = 2*9 = 18 units.

The long leg is sqrt(3) times the short leg, so y = 9sqrt(3)

You could use the trig ratios (sine, cosine, tangent) to help find these values.

Answer 2

Answer:

$\displaystyle y = 9\sqrt{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. 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] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = 9

Adjacent Leg = y

Step 2: Solve for y

1. Substitute in variables [Tangent]:                                                                    $\displaystyle tan(30^\circ) = \frac{9}{y}$
2. [Multiplication Property of Equality] Cross-multiply:                                        $\displaystyle y = \frac{9}{tan(30^\circ)}$
3. Evaluate:                                                                                                           $\displaystyle y = 9\sqrt{3}$