Answer:
x ≈ 22.0°
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] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = <em>x°</em>
Opposite Leg = 3
Hypotenuse = 8
<u>Step 2: Find </u><em><u>x°</u></em>
- Substitute [Sine]: sinx° = 3/8
- Inverse trig: x° = sin⁻¹(3/8)
- Evaluate: x = 22.0243°
- Round: x ≈ 22.0°
D: (-inf, +inf)
R: [0, +inf)
That equation is the parent function of the absolute value function. To find domain, move from left to right. Look at the x-values and where the graph goes. To find range, move from bottom to top and look at the y-values. I recommend using a stick/pencil and moving it along the graph.
Answer:
589.4 cubic inches.
Step-by-step explanation:
The volume of the cube with each side of the measure of 9.5 inches.
So, the volume of the cube will be (9.5 × 9.5 × 9.5) = 857.375 cubic inches.
Now, if there is a ball inside this cube with volume 268 cubic inches then the remaining volume inside the cube is filled with air.
Therefore, the volume of air inside the cube will be (857.375 - 268) = 589.375 cubic inches ≈ 589.4 cubic inches. (Answer)
Answer:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Step-by-step explanation:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
1. Simplify
9 - 3x^2 - 8x^2 + 4x + 5
2. Collect like terms
(9 + 5) + (-3x^2 - 8x^2) + 4x
3. Simplify
14 - 11x^2 + 4x
Hope this helps! :)
