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
12+30>6x-4x
42>2x
42/2>x
21>x
Part 1 : Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class and finds that 30% of his classmates enjoy watching the TV news. He claims that 30% of the school's student population would be expected to enjoy watching the TV news. Is Marlow making a valid inference about his population?
No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Yes, it is a valid inference because he asked all 27 students in his art class
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
Answer = The correct answer is <span>B because Marlow was supposed to ask random kids and they were not suppose to be in his class.
Part 2 : </span><span>Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers? </span>
72
100
1,080
<span>1,500
</span>
<span>1500 / 100</span>×72<span>= 1080</span><span>
</span>
the answer is 2.236 units
Answer:
Option -c :5^ -12 . 2^ 40
Step-by-step explanation:
( 5^6 . 2^8 )( 5^-2 . 2^5 )
( 5^6 . 5^-2 ) ( 2^8 . 2^5 )
5^ -12 . 2^ 40
Option -c : 5^ -12 . 2^ 40
I hope im right!!