Answer:
<u>The area of a pizza made in that circular pan is 452.39 inches²</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Diameter of the circular pan = 24 inches
Radius of the circular pan = 24/2 = 12 inches
2. What is the area of the pizza?
Let's use the formula of the area of a circle, this way:
Area = π * r²
Substituting with the real values, we have:
Area = 3.1416 * 12²
Area = 452.39 inches²
<u>The area of a pizza made in that circular pan is 452.39 inches²</u>
Answer:
(-4, -8)
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>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - 2y = 12
5x + 3y = -44
<u>Step 2: Rewrite Systems</u>
x - 2y = 12
- [Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60
<u>Step 3: Redefine Systems</u>
-5x + 10y = -60
5x + 3y = -44
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine 2 equations: 13y = -104
- [Division Property of Equality] Divide 13 on both sides: y = -8
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: x - 2y = 12
- Substitute in <em>y</em>: x - 2(-8) = 12
- Multiply: x + 16 = 12
- [Subtraction Property of Equality] Subtract 16 on both sides: x = -4
8% lower means the gauge is showing 92% of the original pressure
( 100% - 8% = 92%)
Divide the pressure the gauge is showing by 92%
33.58 / 0.92 = 36.5
The actual pressure is 36.5
Answer:
and 
Step-by-step explanation:

Discriminant

If the discriminant is a negative number then the roots of the equation are imaginary

So, the two solutions are
and 
Answer:
sample.
Step-by-step explanation:
It is given that a department store wants to know what motivated customers to visit their store on that particular day.
We need to fill the blank.
Since 80 percent of the customers are male, researchers have decided to collect a ____ by ensuring that 8 out of every 10 survey participants are male.
For survey, researchers need small part of whole data, i.e., sample.
So, the required answer is "sample".
Since 80 percent of the customers are male, researchers have decided to collect a sample by ensuring that 8 out of every 10 survey participants are male.