Mrs. Harper drove 102 miles and Mr. Harper drove 408. Am I right?
Answer:
Cylinder Surface Area = (2 • π • r²) + (2 • π • r • height)
Surface Area = (2 * PI * 7^2) + (2*PI*7*22)
Surface Area = 307.8760800518 + 967.6105373057
Surface Area = 1,275.4866173575 Square Inches
Cylinder Volume = π • r² • height
Volume = PI * 7^2 * 22
Volume = 3,386.6368805698 Cubic Inches
Surface Area to Volume = 1,275.4866173575 / 3,386.6368805698 =
0.3766233766
Answer is A
Source: https://www.1728.org/diam.htm
Step-by-step explanation:
Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation: 6² + x² = (√89)²
- Isolate <em>x</em> term: x² = (√89)² - 6²
- Exponents: x² = 89 - 36
- Subtract: x² = 53
- Isolate <em>x</em>: x = √53
Answer:
f(x) = .05x; $5.50
Step-by-step explanation:
f(x) = .05x
f(110) = .05(110) = $5.50