Answer:
C = 87.92 mm
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>
Circumference Formula: C = πd
- <em>C</em> is circumference
- <em>d</em> is diameter
Step-by-step explanation:
<u>Step 1: Define</u>
Diameter <em>d</em> = 28 mm
<u>Step 2: Solve</u>
- Substitute in variables [Circumference Formula]: C = 3.14(28 mm)
- [Circumference] Multiply: C = 87.92 mm
In Euclidean geometry, the sum of the measures of the interior anlges of a pentagon is 540°.
The sum of the measures of the interior angles of a pentagon would be different in spherical geometry because A.) THE SUM WOULD BE GREATER THAN 540°
I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.
The answer would be 8,107
