Answer:
The <em>volume</em> of the cone-shaped sculpture is equal to 114.631 ft³.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Geometry</u>
Circumference Formula:

Volume Formula [Cone]:

- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given</em>.
<em>h</em> = 8 ft
<em>C</em> = 23.236 ft
<u>Step 2: Find Radius </u><u><em>r</em></u>
- [Circumference Formula] Substitute in variables:

- Solve [Equality Properties]:

<u>Step 3: Find Volume</u>
- [Volume Formula - Cone] Substitute in variables:

- Evaluate:

∴ the <em>volume </em>of the artist-created sculpture is 114.631 ft³.
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Learn more about Geometry: brainly.com/question/27732359
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Topic: Geometry
Answer:
10.0 but if you want it in fraction it is 0.100
Step-by-step explanation:
<span>A = a is an example of reflexive algebraic property.so correct answer is B
reflexive property</span>
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b 2 = ( a + b ) ( a − b ) where a = 7 and b = a + x . − ( 7 + a + x ) ( a + x − 7 )
Step-by-step explanation:
The x-intercept is the point where the graph touches the x-axis, which means y=0. So let's set y=0 in your equation, and we receive
(x-5)^2 + (0+12)^ = 169
which means
(x-5)^2 = 25
Solve this, and get x=10 or x=0.
This means the x-intercepts are (10,0) and (0,0).
Try doing the same for y.