The answer is 78
Please see the attached picture for full solution
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Good luck on your assignment
Answer:
x ≈ 7.5
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
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = 37°
Opposite Leg = <em>x</em>
Adjacent Leg = 10
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [tangent]: tan37° = x/10
- [Multiplication Property of Equality] Multiply 10 on both sides: 10tan37° = x
- Rearrange equation: x = 10tan37°
- Evaluate: x = 7.53554
- Round: x ≈ 7.5
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
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