Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = <em>x</em>
Adjacent Leg = 5.8
Hypotenuse = 7.3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:

- [Fraction] Divide:

- [Equality Property] Trig inverse:

- Evaluate trig inverse:

- Round:

Let width = x
let length = 2x
x + 2x = 450
3x = 450
x = 150
width = 150
length = 2x = 2 (150) = 300
I got 8/3 because 4/8 would simplify to 1/2 and the line would be flatter
Find square footage of his yard
assuming is is roughtly a rectangle
area of rectangle=length times width
length=20ft
width=12 ft
area=length times width=20 times 12= 240 square feet
how many packages?
1 pack times x is at least 240
1 pack times x>240
50 times x>240
divide both sides by 50
x>4.8
you can't buy 0.8 pack, so round up
5 packs needed