Answer:
7 units
Step-by-step explanation:
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61
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1,296, </span></span></span>
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729, </span></span></span>
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<span>
3,721
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</span>
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<span><span>
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<span><span>2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025
3) Compare this sum to the square of the 3rd side.2,025 < 3,721
if sum > 3rd side² Acute Triangleif sum = 3rd side² Right Triangleif sum < 3rd side² Obtuse TriangleTherefore, it is an Obtuse TriangleSource:http://www.1728.org/triantest.htm
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The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
The equation of a circle of <u>radius r and center</u> 
is given by:
- The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.
In this problem, the circular path is modeled by:
We complete the squares to place it in the standard format, thus:
Thus, the radius is:
Then, the diameter is:
The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
A similar problem is given at brainly.com/question/24992361
Answer:
SA = 748π in²
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>r</em> = 11 in
<em>h</em> = 23 in
<u>Step 2: Find Surface Area</u>
- Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(11 in)(23 in) + 2π(11 in)²
- Evaluate exponents: SA = 2π(11 in)(23 in) + 2π(121 in²)
- Multiply: SA = 506π in² + 242π in²
- Add: SA = 748π in²
