Answer:
Total Composite Area: 5/2π in²
Total Composite Perimeter: 3π + 2 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Diameter: d = 2r
- Area of a Circle: A = πr²
- Circumference Formula: C = 2πr
Step-by-step explanation:
<u>Step 1: Define</u>
Radius of Circle ABC = 2 in
Radius of Circle AD = 1 in
<u>Step 2: Find Area</u>
Since the formulas are for use for <em>full </em>circles and we only have semicircles, we need to half the formulas.
We add the 2 composite figures to find the <em>total </em>area.
- [Circle AD] Substitute [AC]: A = 1/2π(1 in)²
- [Circle ABC] Substitute [AC]: A = 1/2π(2 in)²
- [Total] Combine: A = 1/2π(2 in)² + 1/2π(1 in)²
- Exponents: A = 1/2π(4 in²) + 1/2π(1 in²)
- Multiply: A = 2π in² + 1/2π in²
- Add: A = 5/2π in²
<u>Step 3: Find Perimeter</u>
Since the formulas are for use for <em>full </em>circles and we only have semicircles, we need to half the formulas.
We add the 2 composite figures to find the <em>total </em>perimeter. Don't forget circumference is only the <em>curve</em> of the circle.
- [Circle AD] Substitute [CF]: C = 1/2(2π · 1 in)
- [Circle ABC] Substitute [CF]: C = 1/2(2π · 2 in)
- [Total] Combine: C = 1/2(2π · 2in) + 1/2(2π · 1 in) + 2 in
- Multiply: C = 1/2(4π in) + 1/2(2π in) + 2 in
- Multiply: C = 2π in + π in + 2 in
- Add: C = 3π + 2 in
Answer:
Step-by-step explanation:
Elvin and Carol together have Rs. 84. If Elvin gives Carol Rs. 32, then Carol will have twice as much money as Elvin. How much money, do Elvin and Carol have originally?
Let the amount of Elvin has originally = E
Let the amount of money Carol has originally be = C
E + C= Rs. 84
E + C = 84 ......Equation 1
If Elvin gives Carol Rs. 32, then Carol will have twice as much money as Elvin.
C + 32 = 2E
C = 2E - 32
We substitute into Equation 1
E + C = 84 ......Equation 1
E + 2E - 32 = 84
3E = 84 + 32
3E = 116
E = 116/3
E =
She eats 2/4 every day so 1/2
it would take her 8 days to eat 4 cups
Answer:
okay!
Step-by-step explanation: