Answer:
x = 40.7057°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangle Only] sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use trig to find the angle.
<u>Step 2: Identify Variables</u>
Angle = <em>x</em>
Opposite = 15
Hypotenuse = 23
<u>Step 3: Find Angle </u><em><u>x</u></em>
- Substitute: sinx° = 15/23
- Inverse: x° = sin⁻¹(15/23)
- Evaluate: x = 40.7057°
The radius of the cylinder's base is 8, so the volume of the cylinder is

(using the approximation of

).
The sphere has radius 6, so the volume of the sphere is

.
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
Answer:
I am going to assume the 25 is 25%
Step-by-step explanation:
25/100 *212
1/4*212=53
53 acres of land is carrots