Answer:
x = √39
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] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 5
Hypotenuse <em>c</em> = 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 5² = 8²
- Isolate <em>x</em> term: x² = 8² - 5²
- Exponents: x² = 64 - 25
- Subtract: x² = 39
- Isolate <em>x</em>: x = √39
Yintercept is the point where the line crosses the y axis and where x=0
(x,y)
yintercept at y=b is
(0,b)
Answer:
114 cm²
Step-by-step explanation:
Area of shaded region
= area of circle -area of square
Given that radius= 10cm, r= 10cm.
Let the length of a side of the square be x cm.
Applying Pythagoras Theorem,
10² +10²= x²
100 +100= x²
x²= 200
Area of square
= x²
= 200cm²
Area of shaded region
= 3.14(10²) -200
= 3.14(100) -200
= 314 -200
= 114 cm²
I believe the answer is 45.
