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sertanlavr [38]
2 years ago
5

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

Mathematics
1 answer:
vladimir1956 [14]2 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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What is the solution set of 2x2-3x=5
Kryger [21]

You use the quadratic formula:

2x {}^{2} - 3x = 5

2x {}^{2} - 3x - 5 = 0

x = \frac{3 + - \sqrt{9 -4(2)( - 5)}}{2 \times 2}  

x = \frac{3 + - \sqrt{49} }{4}  

x = \frac{3 + 7}{4} \: and \: x = \frac{3 - 7}{4}  

x = \frac{5}{2} \: and \: x = - 1

7 0
3 years ago
A guy wire 30 ft long supports an antenna at a point that is 24 ft above the base of the antenna.
GalinKa [24]
Use Pythagorean Theorem
c2 = a2 + b2
152 = a2 + 12
a2 = 152 - 122
=225 - 144 = 81
a = 9 ft
Distance from base of antenna = 9ft
4 0
2 years ago
When the exponent blank is applied to a nonzero base, the result is always 1
Anestetic [448]

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7 0
3 years ago
Read 2 more answers
Find the area of a square if its sides measure 2 2/3m
olga55 [171]

Answer:

7\dfrac{1}{9}\ m^2

Step-by-step explanation:

If the length of the square side is a units, then the area of the square is

A=a^2\ un^2.

In your case, the side length is

a=2\dfrac{2}{3}\ m,

then the area is

A=2\dfrac{2}{3}\cdot 2\dfrac{2}{3}\\ \\ \\A=\dfrac{2\cdot 3+2}{3}\cdot \dfrac{2\cdot 3+2}{3}\\ \\ \\A=\dfrac{8}{3}\cdot \dfrac{8}{3}\\ \\ \\A=\dfrac{64}{9}\\ \\ \\A=7\dfrac{1}{9}\ m^2

6 0
4 years ago
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p
Alekssandra [29.7K]

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so z = 1.645.

Item a:

The estimate is \pi = 0.213 - 0.195 = 0.018.

The sample size is <u>n for which M = 0.03</u>, hence:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}

\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2

n = 53.1

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence \pi = 0.05

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 751.7

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

5 0
2 years ago
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