The history of pi and it’s importance to geometry!!!!!!

Mathematics

1 answer:

vladimir1956 [14]3 years ago

5 0

Answer:

Famous mathematician Archimedes of Syracuse did the first calculation of pi around 250 BC. Without pi, we cannot calculate the ratio of the circumference of a circle to its diameter. Pi is made up of 31.4 trillion digits. Within pi, you can find your birthday, social security number, and every word ever if put into alphabetic values (1=a, 2=b, etc). You can get your entire life story from beginning to end just from pi!

hope this helps:)

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Levart [38]

Answer:

Step-by-step explanation:

To answer this question, we need to figure out the amount of cars that the train has. The info we have is that the train is moving at 3 cars every 30 seconds. To make this easier to solve, we can multiply the rate by 2 to get the minutely rate, which is 6 cars per minutes. Then you multiply 6 by 5 and you get 30 cars on the train.

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Find the expansions of sin⁡5θ and cos⁡5θ in terms of sin⁡θ and cos⁡θ.

qwelly [4]

$\bf \textit{quad-angle identities}\\\\\\

cos(4\theta)=8cos^4(\theta)-8cos^2(\theta)+1
\\\\\\
sin(4\theta)=
\begin{cases}
8sin(\theta)cos^3(\theta)-4sin(\theta)cos(\theta)\\\\
4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)
\end{cases}\\\\
-----------------------------\\\\
$

$\bf sin(5\theta)\iff sin(4\theta + \theta)
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sin(4\theta)cos(\theta)+cos(4\theta)sin(\theta)
\\\\\\\
[4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)]cos(\theta)\\\\ + [8cos^4(\theta)-8cos^2(\theta)+1]sin(\theta)$

$\bf -----------------------------\\\\
cos(5\theta)\iff cos(4\theta + \theta)
\\\\\\
cos(4\theta)cos(\theta)-sin(4\theta)sin(\theta)\\\\\\\
[8cos^4(\theta)-8cos^2(\theta)+1]cos(\theta)\\\\
-
[4sin(\theta)cos(\theta)-8sin^3(\theta)cos(\theta)]sin(\theta)$

distribute... and simplify :)

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3 years ago

Y = 2x + 5 and 3x + y = 40

Sophie [7]

ANSWER: x=7, y=19

Steps

1. Substitute y=2x+5

3x+2x+5=40

2. For y=2x+5 , Substitute x=7

y=2 * 7+5

3. 2 * 7+5=19

y=19

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denis-greek [22]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the next number in sequence 364861210?

Ainat [17]

Hello,

Shall we begin?

<span>364,861,210
</span>
n + 1 = 364,861,210 + 1 = 364,861,211

Answers: 364,861,211

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3 years ago