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Nostrana [21]
3 years ago
8

Which statement best describes where the pi/4 comes from in the formula derivation?

Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

Answer: It is the ratio of the stress of the circle to the area of the square from a cross section.

Step-by-step explanation:

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Find the nth degree polynomial function with real coefficients satisfying the given conditions.
RUDIKE [14]
\bf (x+1)(x-3)(x-2-4i)(x-2+4i)
\\\\
\textit{now, let's take a peek at }(x-2-4i)(x-2+4i)\\
\textit{and recall our }\textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
(x-2-4i)(x-2+4i)\implies [(x-2)-(4i)][(x-2)+(4i)]
\\\\\
[(x-2)^2-(4i)^2]\implies [(x^2-2x+4)-(4^2\boxed{i^2})]
\\\\\
[(x^2-2x+4)-(16\cdot \boxed{-1})]\implies [(x^2-2x+4)+16]
\\\\
(x^2-2x+20)\\\\
-----------------------------

\bf thus
\\\\

\begin{array}{llll}
(x+1)(x-3)\\(x-2-4i)(x-2+4i)
\end{array}\implies (x+1)(x-3)(x^2-2x+20)
\\\\\\
(x^2-2x-3)(x^2-2x+20)\implies 
\begin{array}{llll}
x^4-2x^3+20x^2-2x^3\\+4x^2-40x+3x^2-6x+60
\end{array}
\\\\\\
x^4-4x^3+27x^2-46x+60
4 0
3 years ago
What is the monthly payment on a 48-month loan for $28,000 with 2% interest?
GalinKa [24]
It’s b got it right on edge
8 0
2 years ago
Karma is building a rectangular table with an area of 18,000 cm?. He wants to put wood trim around the four edges. What is the s
jok3333 [9.3K]

The shortest length is given by the function for the perimeter of the

rectangular table.

  • The shortest length of trim he could use is <u>536.66 cm</u>
<h3>Method used for finding the shortest length of trim</h3>

The given parameter;

Area of the rectangular table Karma is building, <em>A</em> = <u>18,000 cm²</u>

Required:

The shortest length of trim he could use which he wants to put around the four edges.

Solution:

Let <em>l</em> represent the length of the table, and let <em>w</em> represent the width, therefore;

Perimeter of the table, <em>P</em> = 2·l + 2·w

Area, <em>A</em> = l × w

Which gives;

18,000 = l × w

l = \dfrac{18,000}{w}

Which gives;

P = 2 \cdot \dfrac{18,000}{w} + 2 \cdot w

At the minimum point, we have;

\dfrac{d}{dw} P = \dfrac{d}{dw} \left(2 \cdot \dfrac{18,000}{w} + 2 \cdot w\right)= \mathbf{\dfrac{2 \cdot w^2 - 36,000}{w^2} }= 0

Which gives;

2·w² - 36,000 = w² × 0 = 0

2·w² = 36,000

w^2 = \dfrac{36,000}{2} = 18,000

The width of the rectangular table, <em>w</em> = √(18,000)

Length \ of \ the \ table\ l = \dfrac{18,000}{\sqrt{18,000} } = \sqrt{18,000}

Therefore;

The perimeter of the table, P ≈ 2 × √(18,000) + 2 × √(18,000) ≈ 536.656

The length of trim required = The perimeter of the rectangular table, <em>P</em>

Therefore;

  • The shortest length of the trim he could use, given to the nearest hundredth is <u>536.66 cm</u>

Learn more about area and perimeter of a figure here:

brainly.com/question/9135929

4 0
3 years ago
What do u need to divide 9w by in order to have 1w
Andre45 [30]

Answer:

9

Step-by-step explanation:

9w/9 = 1w

6 0
3 years ago
Read 2 more answers
Find the median of this data: 45, 43, 47, 51, 43, 59, 52. If necessary, round to the nearest tenth.
garik1379 [7]

To find the median just put the numbers in order first and see which one ends up in the middle.

43,43,45,47,51,52,59

The median of this data is 47

4 0
3 years ago
Read 2 more answers
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