Answer:
r = 10 ft
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>
Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Volume <em>V</em> = 2000π ft³
Height <em>h</em> = 20 ft
Radius <em>r</em> = unknown
<u>Step 2: Solve for </u><em><u>r</u></em>
- Substitute in variables [Volume of a Right Cylinder Formula]: 2000π ft³ = πr²(20 ft)
- [Division Property of Equality] Isolate <em>r</em> term: 100 ft² = r²
- Rewrite: r² = 100 ft²
- [Equality Property] Square root both sides: r = 10 ft
3x + 4y = 5
<u>-5x - 4y = -11</u>
-2x = -6
-<u>2x</u> = <u>-6</u>
-2 -2
x = 3
3(3) + 4y = 5
9 + 4y = 5
<u> -9 -9</u>
4y = -4
<u>4y</u> = <u>-4</u>
4 4
y = -1
(x, y) = (3, -1)
Answer: 30ft
Step-by-step explanation:
Answer:8
Step-by-step explanation:
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