What was the most inaccurate version of pi who and when and what the value was?
Answers
The most inaccurate version of pi in history was likely that of the ancient Egyptians, around 1650 BCE.
The value they used was approximately 3.125, which is quite different from the true value of pi (approximately 3.14159).
Explanation of how this value was derived and its context in history:
1. The ancient Egyptians were known for their achievements in mathematics, especially in the field of geometry.
They used their knowledge to construct monumental structures like the pyramids.
2. To calculate the area of a circle, the Egyptians used a formula that approximated pi as the ratio of the circumference to the diameter of the circle.
They likely derived this value from their observations and measurements of circular objects.
3. The value they used for pi, approximately 3.125, can be found in the Rhind Mathematical Papyrus, an ancient Egyptian mathematical document dating back to around 1650 BCE.
This document contains several mathematical problems and solutions, including those related to geometry.
4. Although the ancient Egyptians' approximation of pi was inaccurate compared to the true value, it served their purposes at the time and was an impressive achievement considering the tools and knowledge available to them.
5. Over time, mathematicians continued to refine the value of pi, with more accurate approximations being developed by scholars like Archimedes (circa 287-212 BCE), who calculated pi to be between 3.1408 and 3.1429.
In summary, the most inaccurate version of pi in history was likely that of the ancient Egyptians, who used a value of approximately 3.125 around 1650 BCE.
This value, though far from the true value of pi, was still a significant achievement for their time.
For similar question on version.
https://brainly.com/question/25605883
#SPJ11
Related Questions
A simple pendulum is 7.00 m long. (a) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 8.00 m/s2? (b) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating downward at 8.00 m/s2? (c) What is the period of this pendulum if it is placed in a truck that is accelerating horizontally at 8.00 m/s2?
Answers
The period of this pendulum if it is placed in a truck that is accelerating horizontally at 8.00 m/s^2 is 4.43 s.
The period of a simple pendulum is given by:
T = 2π√(L/g),
where L is the length of the pendulum and g is the acceleration due to gravity.
(a) When the pendulum is located in an elevator accelerating upward at 8.00 m/s^2, the effective acceleration acting on the pendulum will be:
a_eff = g + a_elevator = g + 8.00 m/s^2
So, the new period T' of the pendulum can be found using the formula:
T' = 2π√(L/a_eff)
T' = 2π√(7.00 m / (9.81 m/s^2 + 8.00 m/s^2))
T' = 2.10 s
Therefore, the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 8.00 m/s2 is 2.10 s.
(b) When the pendulum is located in an elevator accelerating downward at 8.00 m/s^2, the effective acceleration acting on the pendulum will be:
a_eff = g - a_elevator = g - 8.00 m/s^2
So, the new period T' of the pendulum can be found using the formula:
T' = 2π√(L/a_eff)
T' = 2π√(7.00 m / (9.81 m/s^2 - 8.00 m/s^2))
T' = 0.42 s
Therefore, the period of small oscillations for this pendulum if it is located in an elevator accelerating downward at 8.00 m/s^2 is 0.42 s.
(c) When the pendulum is placed in a truck that is accelerating horizontally at 8.00 m/s^2, this will not affect the period of the pendulum because the acceleration is perpendicular to the direction of the pendulum's oscillations. Therefore, the period of the pendulum in this case will be the same as when it is at rest:
T = 2π√(L/g)
T = 2π√(7.00 m / 9.81 m/s^2)
T = 4.43 s
Therefore, the period of this pendulum if it is placed in a truck that is accelerating horizontally at 8.00 m/s^2 is 4.43 s.
To learn more about pendulum visit:
https://brainly.com/question/14759840
#SPJ11
Is the given point interior, exterior, or on the circle (x 2)2 (y - 3)2 = 81? p(8, 4) click on the graphic to choose the correct answer.
Answers
From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...
d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so
81=10^2+1^2
81=101 which is not true...
So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.
Thus the point lies outside or on the exterior of the circle...
To learn about circle from the given link
https://brainly.com/question/2166803
#SPJ4
ST is tangent to OQ. What is m
Answers
Sum of the interior angle of any triangle must equal to 180 degrees thus :
\(53 + 90 + t = 180\)
\(143 + t = 180\)
\(t = 37\)
Thus angle T has a measure of 37° .
Answer: 37
Explanation: Angle S is a right triangle because ST is tangent to circle Q.
180 - 90 - 53 = 37
0.5
0.5"
- 5
f.
What is the the answer to this?
Answers
Answer:
could you be more specific pls
4y=-3-x
7x-4y=43
elimination please help!!
Answers
Answer:
x = 5 y =-2
Step-by-step explanation:
You can substitute the 4y in,
7x - (-3-x) = 43
7x + 3 + x = 43
8x + 3 = 43
8x = 40
x = 5
Then plug the x back into the equation,
4y = -3 - 5
4y = -8
y = -2
Answer:
y= -2 x=5
Step-by-step explanation:
(See attachment below)
Alex ran 1600 m at a rate of 6.4 m/s.
For how many seconds did he run?
Answers
Answer:
250
Step-by-step explanation:
1600/6.4
In a dice game, you win if the two dice come up 10 or higher. Otherwise, you lose $1. What should be the profit for winning to make this game fair?.
Answers
The profit for winning should be $23/13 to make this game fair.
The formula used, Expected Value = Sum of (Value * Probability)Profit of winning to make the game fair
The expected value of the game is equal to zero, to make the game fair.
The probability of winning in a dice game is the number of outcomes that result in the win over the total number of possible outcomes.
The total number of outcomes in rolling two dice is 6 × 6 = 36.
The number of outcomes that result in a win is found by using the following table.
The sums greater than or equal to 10 are colored green, and the remaining sums are colored red.
Using the table, we can see that the number of outcomes that result in a win is 13.
The probability of winning is 13/36.
The probability of losing is 1 − 13/36 = 23/36.
Let p be the profit from winning the game.
If you win, you receive p dollars.
If you lose, you pay $1.
The expected value of the game is:
p(13/36) − 1(23/36) = 0p(13/36)
= 23/36p = (23/36) / (13/36)p
= 23/13
So, the profit for winning should be $23/13 to make this game fair.
Know more about profit here:
https://brainly.com/question/1078746
#SPJ11
Ardi and Lei are both travelling by train.
Ardi's train travels 70 km in 35 minutes.
Lei's train travels 585 km.
It leaves at 9:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.
Answers
Answer:
10 kilometer/hour
Step-by-step explanation:
Average speed = Total distance travelled / Total time taken
Ardi:
Total distance travelled = 70 km
Total time taken = 35 minutes = 35/60 hour
Average speed = Total distance travelled / Total time taken
= 70 km ÷ 35/60 hr
= 70 × 60/35
= 4,200/35
= 120 kilometer/hour
Lei:
Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes
= 4.5 hours
Average speed = Total distance travelled / Total time taken
= 585 km / 4.5 hours
= 130 kilometer/hour
Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train
= 130 kilometer/hour - 120 kilometer/hour
= 10 kilometer/hour
an 8-person committee is to be formed from a group of 15 women and 12 men. in how many ways can the committee be formed if the committee must contain four men and four women? if there must be at least two men? if there must be more women than men?
Answers
The number of ways to form an 8-person committee with 4 men and 4 women is 9,180. The number of ways to form a committee with at least 2 men is 70,320. The number of ways to form a committee with more women than men is 7,620. This can be solved by the concept of Permutation and Combination.
If the committee must contain four men and four women, there are 7,425 ways to form the committee. If there must be at least two men, there are 58,275 ways to form the committee. If there must be more women than men, there are 26,207,700 ways to form the committee.
To find the number of ways to form a committee with four men and four women, we can use combinations. The number of ways to choose 4 men out of 12 is 495, and the number of ways to choose 4 women out of 15 is 1,365.
To get the total number of ways, we can multiply these numbers:
495 x 1,365 = 7,425.
To find the number of ways to form a committee with at least two men, we need to consider two cases: 2 men and 6 women, and 3 men and 5 women. For the first case, we can choose 2 men out of 12 in 495 ways, and 6 women out of 15 in 5,005 ways. For the second case, we can choose 3 men out of 12 in 2,190 ways, and 5 women out of 15 in 3,003 ways.
To get the total number of ways, we can add these numbers:
495 x 5,005 + 2,190 x 3,003 = 58,275.
To find the number of ways to form a committee with more women than men, we can use a different approach. We can count all the possible committees with 1 man, 2 men, 3 men, and 4 men, and then subtract the committees that have more men than women. There are 15 ways to choose 1 man, 330 ways to choose 2 men, 3,960 ways to choose 3 men, and 12,870 ways to choose 4 men.
To count the committees with more men than women, we can use the complement rule. This means we need to count the committees with 4 men and 0, 1, 2, or 3 women, the committees with 3 men and 0 or 1 women, the committees with 2 men and 0 women, and the committee with 1 man and 0 women.
Adding these numbers gives us the total number of committees with more women than men:
15 + 330 + 1,320 + 2,772 + 330 + 15 = 26,207,700
To learn more about Permutation and Combination here:
https://brainly.com/question/28720645#
#SPJ11
1) Johnny has $15 to spend on songs and podcasts. He wants to download at least 5 items. Songs cost $1.99 each and podcasts cost $0.75 each. Represent the scenario as a system of inequalities.
A. x+y≥5
1.99x+0.75y≤15
B. x+y≤5
1.99x+0.75y≥15
C. x+y≥15
1.99x+0.75y≤5
D. x+y≤15
1.99x+0.75y≥5
2) When solving the following system using elimination, which of the following will allow you to get opposites?
−4x+9y=9
x−3y=−6
A. Multiply the second equation by -3.
B. Multiply the second equation by -4.
C. Multiply the second equation by 3
D. Multiply the second equation by -1.
3) When solving the following system using elimination, which of the following will allow you to get opposites?
−4x−15y=−17
−x+5y=−13
A. Multiply the second equation by -4.
B. Multiply the second equation by 4.
C. Multiply the first equation by -4.
D. Multiply the first equation by -1.
Answers
Answer:
D then B then C
Step-by-step explanation:
sorry if wrong
A farmer ha 30 boxe of egg. There are 6 egg in each box. What i the ratio for the number of egg in three boxe to the total number of egg?
Answers
The ratio for the number of egg in three boxes to the total number of egg is 1 : 10
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
We use the ratio formula while comparing the relationship between two numbers or quantities. The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b, which is read as 'a is to b'.
According to the question,
Total boxes of eggs a farmer have = 30 boxes of egg
Number of eggs in each box = 6
Total number of eggs in 3 boxes = 6 × 3
=> 18 eggs
Total number of eggs in 30 boxes = 30 × 6
=> 180 eggs
Ratio of number of egg in three boxes to the total number of egg = 18 : 180
=> 1 : 10 is the ratio
To know more about ratio here
https://brainly.com/question/13419413
#SPJ4
Please answer its fill in the blanks
the words are at the bottom
Answers
Answer:
1. Grassland
2. grass
3. Temperate grassland
4. prairies
5. steppe
6. tropical grassland
7. savanna
8. intermountain grassland
9. mixed prairie
10. tallgrass prairie
Step-by-step explanation:
2x - 6y = 16 and x + y = 4 In comparison method. |
STRUGGLING ON THIS pls.
Answers
The solution to the system of equations is x = 5 and y = -1.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given a system of equation 2x - 6y = 16 and x + y = 4
Let's start with the second equation:
x + y = 4
We can solve for one of the variables, say y, by subtracting x from both sides:
y = 4 - x
Now we can substitute this expression for y into the first equation:
2x - 6y = 16
2x - 6(4 - x) = 16
Expanding and simplifying, we get:
2x - 24 + 6x = 16
Combining like terms, we get:
8x - 24 = 16
Adding 24 to both sides, we get:
8x = 40
Dividing both sides by 8, we get:
x = 5
Now we can substitute this value of x into either of the original equations to find y. Let's use the second equation:
x + y = 4
5 + y = 4
Subtracting 5 from both sides, we get:
y = -1
Therefore, The solution to the system of equations is x = 5 and y = -1.
Learn more about the System of equations here:
https://brainly.com/question/12628931
#SPJ1
Gabriella rented a bike from Jaidee's Bikes. It cost $14 plus $6 per hour. If Gabriella paid $26 total then how many hours did she rent the bike for?
Answers
Answer:
2 Hours
Step-by-step explanation:
14+6+6 = 26.
You start with 14, and add on 6 which gives you your starting total 20. So that's one hour. then you add another hour, adding on another $6 making the total $26 and two hours of renting time.
8.01 × 10^-2 round the coefficient to two decimal places
Answers
Answer:
that equals 0.0801
Step-by-step explanation:
but im not good at rounding so yeah
5. A biker travels down the street at 15 m/s. It
takes 60 seconds to travel to the end of the
street. How long was the street?
Answers
Answer:
900
Step-by-step explanation:
The biker travels 15 m/s and if there are 60 seconds, you multiply 15*60. The answer is 900
Answer:
900 meters
Step-by-step explanation:
The biker can go 15 meters in 1 second.
30 in 2 seconds.... etc etc
To find the length of the street we would multiply his speed (15 m/s) by the amount of seconds (60).
15 * 60 = 900
So, the street was 900 meters
Which is the graph of y=-x+2 answer and solution please
Answers
Answer:
Step-by-step explanation:
ted runs 2/3 as fast as frank. in 2 hours frank runs 8 miles farther than ted. how fast does each run?
Answers
The speed of Ted is 08 mph and the speed of Frank is 12 mph.
Given:
Ted runs 2/3 as fast as frank. In 2 hours frank runs 8 miles farther than ted.
Ted Data:
Distance = d;
Rate = (2/3)x;
Time = 2 hours
Candid Data:
Distance = d+8;
Rate = x;
Time = 2 hours
Formula: Distance = Speed*Time
Therefore,
Flank distance = ted distance + 8
2x = (4/3)x + 8
6x = 4x + 24
2x = 24
x = 12 mph
The speed of Flank is 12 mph.
Therefore, the speed of Ted is:
(2/3)x = 8 mph
Learn more about Speed:
https://brainly.com/question/28224010
#SPJ4
Assume double[][] x = new double[4][5], what are x.length and x[2].length? a. 4 and 4
b. 4 and 5 c. 5 and 4 d. 5 and 5
Answers
The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.
The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.
To know more about length:
https://brainly.com/question/28478858
#SPJ4
What number is a multiple of both 5 and 15?
Answers
Answer:
five because 5×3 is 15 and 5×1 is 5
Stuff costs $1772 today. If inflation is 8.996, how much will it cost next year?
Answers
Answer:
$1,931.41
Step-by-step explanation:
Subtract the starting date CPI from the later date CPI and divide your answer by the starting date CPI. Multiply the results by 100. Your answer is the inflation rate as a percentage.
The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratios of their areas.
1) 3:1
2) 7/4
Answers
The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,
To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.
1) So, perimeter = 3:1
The ratio of areas between two similar polygons is equal to the square of the scale factor.
Since the scale factor is 3:1, the ratio of their areas is:
(Ratio of areas) = (Scale factor)² = 9/1 = 9:1
Similarly,
2) Perimeter = 7:4
Area = 49/16
Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Learn more about scale factors click;
https://brainly.com/question/29464385
#SPJ1
Can anybody help me on number 4? Find the measure of each interior angle of the regular polygon.
Answers
Answer:
22.5 degrees
Step-by-step explanation:
there are 8 corners in that polygon and there are 180 degrees inside every polygon
so divide 180 by 8
you should get 22.5 degrees
1/5(10x−5)=5x−1 is the problem.
some one help please.
9th grade math
Answers
Solution of the equation \([\frac{1}{5(10x-5)} =(5x-1)]\) is [x = (-0.512788205961), (-0.187211794039)].
As per the question statement, our concerned equation is \([\frac{1}{5(10x-5)} =(5x-1)]\).
We are required to find the value of "x" that satisfied the equation. First, we will have to convert the given equation to the form of quadratic equation.
\([\frac{1}{5(10x-5)} =(5x-1)]\\or, 1=5(10x-5)*(5x-1)\\or, 1=5*5(2x-1)*(5x-1)\\or,1=25[(2x-1)(5x-1)]\\or,1=25(10x^{2} -2x-5x+1)\\or,1=25(10x^{2} -7x+1)\\or,1=250x^{2} -175x+25\\or,250x^{2} -175x+24=0\\\)
Now, [(250x² - 175x + 24) = 0] is in the form of a quadratic equation.
Also, the formula to calculate the solutions of a standard quadratic equation [ax² + bx +c = 0] goes as \([x=(\frac{-b+\sqrt{(b^{2}-4ac) } }{2a}), (\frac{-b-\sqrt{(b^{2}-4ac) } }{2a}) ]\)
Comparing [ax² + bx +c = 0] with [(250x² - 175x + 24) = 0], we get
(a = 250), (b = 175) and (c = 24), and using these values in the above mentioned formula to calculate the solutions of quadratic equations, we get, [x = (-0.512788205961), (-0.187211794039)].
Quadratic Equations: In algebra, any polynomial equation whose highest degree is two and can be rearranged to the standard form of [ax² + bx + c = 0], where (a ≠ 0), is known as a quadratic equation.To learn about Quadratic Equations, click on the link below.brainly.com/question/1863222
#SPJ9
what discovery first connected mathematics to the physical world?
Answers
This question is vague and has no true answer. You could consider a caveman counting rocks, Pythagoras applying his theorem, or Newton impacting physics.
How many incas did the spanish kill on november 16 1532 o 100 o 600 o 1000 6000?
Answers
Spanish killed nearly 6000 Incas.
The Spanish conquistador and explorer Francisco Pizarro springs a trap on Atahualpa, the monarch of the Incas, in the year 1532. Atahualpa allowed roughly 6,000 unarmed men to attend the feast despite having almost 80,000 soldiers with him in the mountains. It took the Spanish a long time and much violence to conquer the Inca Empire. Pizarro's soldiers massacred the 6,000 Incans in approximately one hour.
The lone Spanish wounded were received by Pizarro himself, who injured his hand while saving Atahualpa's life. Pizarro retained Atahualpa in captivity while he prepared plans to conquer his empire because he understood that the emperor was worthy alive than dead. Atahualpa responded by appealing to his hostages' avarice and supplying them with money and silver in exchange for their release.
Read more about Incas on:
https://brainly.com/question/1699679
#SPJ4
Arturo is supposed to weigh 135.5g of his protein whey for his early morning power shake. However, the analytical balance shows that the protein whey he scooped is 148.93g. How much is the excess protein whey that Arturo weighed?
Answers
Arturo weighed an excess of 13.43 g of protein whey.
To calculate the excess protein whey, we need to subtract the actual weight of the protein whey from the weight that Arturo was supposed to weigh.
Here are the given values :Supposed weight of protein whey = 135.5 g , Actual weight of protein whey = 148.93 g To find the excess protein whey, we need to subtract 135.5 g from 148.93 g :
Excess protein whey = Actual weight of protein whey - Supposed weight of protein whey Excess protein whey = 148.93 g - 135.5 g ,Excess protein whey = 13.43 g
Therefore, Arturo weighed an excess of 13.43 g of protein whey.
To know more about protein refer here:
https://brainly.com/question/31017225
#SPJ11
using chebyshev's theorem, solve these problems for a distribution with a mean of 57 and a standard deviation of 25 . round to at least 2 decimal places and final answers to at least one decimal place if needed.
Answers
The proportion of the data that lies within 2 standard deviations of the mean for a distribution with a mean of 57 and a standard deviation of 25 is at least 0.75.
Formally known as Chebyshev's inequality, this theorem states that for any distribution, the proportion of the data that lies within k standard deviations of the mean is at least 1 - (1/k²). For this problem, k = 2 since the question is asking to find the proportion of the data that is within 2 standard deviations of the mean.
Thus, the portion of the data that lies within 2 standard deviations of the mean is at least 1 - (1/2²) = 1 - (1/4) = 0.75.
Therefore, the proportion of the data that lies within 2 standard deviations of the mean for a distribution with a mean of 57 and a standard deviation of 25 is at least 0.75.
Learn more about the standard deviation visit:
brainly.com/question/13905583.
#SPJ4
Hello! :) please give an explanation for what is wrong and what should be done to fix this issue.\(\frac{\sqrt[3]{64} }{\sqrt{64} } = \sqrt[3]{\frac{64}{64} } =1\)
Answers
Answer:
½Step-by-step explanation:
to understand thisyou need to know about:redicaltips and formulas:\( \sqrt[n]{ \frac{y}{x} } < = > \frac{ \sqrt[n]{y} }{ \sqrt[n]{x} } \)let's solve:it's wrong because it doesn't follow the redical formula. it took one cube root and another square root which is wrong. both should be cube root According to the formulalet's fix the issue
since there are a cube root and square root therefore we can't use the formula\( \sf simplify \: roots : \\ \tt = \frac{ \sqrt[3]{64} }{ \sqrt{64} } \\ = \frac{4}{8} \\ = \frac{1}{2} \)Emma jogs 2 miles along the beach in13of an hour. If she travels at a constant rate, how far will she jog in an hour?1. Use the known information to write a rate.Emma’s rate:2 miles13hours2. Write an equivalent rate with a denominator of 1.2(3) miles13(3) hours=?1 hourShe will jogmiles.
Answers
Emma will jog a distance of 6 miles in one hour, maintaining a constant speed.
We are given that Emma jogs 2 miles in 1/3 of an hour. To find out how far she will jog in one hour, we need to determine the equivalent rate with a denominator of 1 hour.
The rate for Emma's jogging is 2 miles / (1/3) hour. To make the denominator 1 hour, we can multiply both the numerator and the denominator by 3:
(2 miles / (1/3) hour) * (3/3) = (2 * 3) miles / (1 * 3/3) hour
Simplifying this expression, we have:
6 miles / 1 hour
This means that Emma will jog 6 miles in one hour. Since she jogs at a constant rate, we can infer that her speed remains consistent. Therefore, regardless of the time, Emma will cover a distance of 6 miles in one hour of jogging. This information allows us to conclude that in an hour, Emma will jog a distance of 6 miles.
To learn more about speed click here
brainly.com/question/553636
#SPJ11