Answer:
B. 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
Angle = 37°
Adjacent Leg = <em>x</em>
Hypotenuse = 10
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [Cosine]: cos37° = x/10
- Isolate <em>x</em>: 10cos37° = x
- Rewrite: x = 10cos37°
- Evaluate: x = 7.98636
- Round: x ≈ 8
Given:
26 meter-long wire cut into two pieces
let x = perimeter of square
26 -x = perimeter of circle
Use the formulas for the perimeters and areas of the two shapes:
P sq = x = 4s
P ci = 26 - x = 2 * pi * r
A sq = s^2
A ci = pi * r^2
Manipulate the equations to come up with a maximum and minimum function. Equate the function to zero and solve for x, then find the area.
The answer is a because you’re splitting it between two people