Answer:
11.75, 2.9375
12, 3
12.48, 3.12
Step-by-step explanation:
First, let's go over what they want us to do.
Boring but brief history lesson of geometry:
In the beginning of the history of geometry and circles, mathematicians would find the approximate circumference of circles by drawing polygons inside of circles and finding the perimeter of that polygon. In other words, the approximate circumference of the circle about the perimeter of the shape. The more side lengths there are, the smaller each side is, and the closer the perimeter is to the actual circumference (more on this later)
Problem 1:
The pentagon has a side length of 2.35, so the perimeter is 5 * 2.35 = 11.75
Thus, the approximate circumference is 11.75.
The diameter of a circle is r * 2, or 4, so the ratio of the circumference to the diameter is 11.75 / 4, or 2.9375
Problem 2:
The hexagon has a side length of 2, so the perimeter is 6 * 2 = 12. Thus, the approximate circumference is 12.
The ratio of the circumference to the diameter is 12 / 4, or 3.
Problem 3:
The dodecagon (12 sided shape) has a side length of 1.04, so the perimeter is 12 * 1.04 = 12.48.
The ratio of the circumference to the diameter is 12.48 / 4 = 3.12
Although we are done, let's ~circle~ back (sorry for the pun) to the idea that this exercise is trying to tell us.
The circumference of a circle is 2πr (which is also equal to the diameter times pi). So in this example, the circumference should be 2 * π * 2, or 4π. π is approximately 3.14159, so 4π is about 12.56636. And the ratio of this to the diameter (which is 4) is, if you look at how we got 4π, should be π no matter what.
Note: the definition of π is the ratio of a circles circumference to its diameter, so this makes sense.
Do you see how the approximate circumferences are slowly getting closer to the actual circumference of 12.56?: 11.75, 12, and 12.48
Look at the progression of approximate circumferences / diameter: 2.9375, 3, 3.12. These are slowly getting closer to π (3.14)
As you can see, the more sides, and the more "circular" the shape becomes, the closer the polygon/approximate circumference is to an actual circle.
I hope this helps! Feel free to ask any questions! :)
Please I need a surely answer and a quicker response
Answer and I will give you brainiliest
Answer:
4
1
5
2
My answers.
I hope this helps
H
G
If mZIOJ = 27and mZHOJ = 51°, then what is the measure of ZHOI?
78°
29°
b. 24°
d. 22°
c.
a.
Answer:
B) 24°
Step-by-step explanation:
51-27=24
How is depositing money into the bank similar to giving the bank a loan
The ice cream dessert at a restaurant comes in 4 flavors:
cookie dough, strawberry, mint, and lemon.
There were 15 ice cream desserts ordered on Tuesday. Here they are by flavor:
mint, mint, strawberry, mint, strawberry, strawberry, mint, lemon, strawberry, cookie dough, mint, strawberry, mint, mint, mint
Draw the bar graph for these data.
Please I need a surely answer and a quicker response
Answer:
8 mint
5 strawberry
1 lemon
1 cookie dough
Peter is writing about characters in wonder by r j palacio but somehow jack Will got that I had smiled at him
Answer:
.
Step-by-step explanation:
Answer:
Peter is writing about characters in Wonder by R. J. Palacio.But somehow Jack Will got that I had smiled at him. And he smiled back. Homework: A Necessary Evil Some people say homework is the most important teaching tool.
At the beginning of the Occupation, the Nazis basically let the Jews go about their business. This all changes in October 1940. Measures are introduced one after the other. Civil servants must sign an official declaration stating whether they are Jewish or not. Just like in Germany earlier on, Jewish civil servants and teachers are fired from their jobs. At the beginning of 1941, all Jews in the Netherlands must register.
Step-by-step explanation:
Simplify your answer
Answer:6
Step-by-step explanation:
10-:1(2)/(3)
Answer:
6 batches
Step-by-step explanation:
To find how many batches you would divide 10 by 1 and 2/3
10 ÷ 1 and 2/3 = 6
Look at the image to see division:
What is 8+4-3 please
Answer:
9
Step-by-step explanation:
8+4=12
12-3=9
Answer:
9
Step-by-step explanation:
8+4=12
12-3=9
=9
A Mathematics paper consists of 12 questions of which not more than ten are to be answered. Given that the number of candidates who answer ten questions is equal to the number of candidates who answer nine questions only. Find the probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 if all the questions have the same chance of being selected.
Answer:
Im not entirely sure
Step-by-step explanation:
A line passes through the points (3,0) and (3,3).
What is the equation of the line?
Answer:
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
Since both x axis are the same number, you have a "special case" line here.Your line is perfectly vertical, and has an infinite (or undefined) slope. It is this way because in the fraction above, it is impossible to divide by zero to find m! In this case, the equation of your line doesn't even use y=mx+b. Instead, the equation of the line is x=3
What's the value of x in the figure?
Solve number 4 please
Answer:
3
Step-by-step explanation:
Slope is given by
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
where y2 = -1, y1 = -7, x2 = -1, x2 = -3
[tex] \frac{ - 1 - ( - 7)}{ - 1 - ( - 3)} = \frac{ - 1 + 7}{ - 1 + 3} [/tex]
[tex] = \frac{6}{2} = 3[/tex]
7
8. 74%,
0.68
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7
0.68,
to
74%
10?
b. 0.68, 74%,
10
74%. 0.68
10
7
74%, 0.68
10'
HELP PLEASE!!!! 50 POINTS!!!GIVING BRAINLIEST!!
1. Elena donates some money to charity whenever she earns money as a babysitter. The table shows how much money, d, she donates for different amounts of money, m, that she earns.
a. What percent of her income does Elena donate to charity?
b.Which quantity, m or d, would be the better choice for the dependent variable in an equation describing the relationship between m and d.
PLEASE HELP!!! THANK YOU!!❤️
(a). Elena donates 12% of her income.
(b). d (amount donated) will be a better choice for the dependent variable, as it is always dependent on the income of Elena.
What is a dependent variable?You can control or set the independent variable. It affects the dependent variable, which changes as a result. The input is unrelated to the result, which is the dependent variable.
As per the given data:
money donated from money earned is given in the table.
For percent of her income donated to charity:
Total money donated / Total money earned
= (4.44 + 1.80 + 3.12 + 3.60 + 2.16) / (37 + 15 + 26 + 30 + 18)
= (15.12)/(126)
= 0.12
∴ Elena donates 12% of her income.
Hence, Elena donates 12% of her income and d (amount donated) will be a better choice for the dependent variable as it is always dependent on the income of Elena.
To learn more on dependent variable, click:
brainly.com/question/1479694
#SPJ3
Please help I’m completely stuck
Answer: 8x
Question 2:Answer: 12x - 3y
hope it helps.
Bryan and Serena had the same amount of money initially. After Bryan donated $258 and Serena donated $234 to charity, Serena had 4 times as much as Bryan. How much had Serena in the end?
Answer:
Serena had $32 at the end.
Step-by-step explanation:
They both had x in the beginning.
Bryan donated $258, so now he has
x - 258
Serena donated $234, so now she has
x - 234
Serena now has 4 times as much money as Bryan.
x - 234 = 4(x - 258)
x - 234 = 4x - 1032
-3x = -798
x = 266
They both had $266.
$266 - $234 = $32
Answer: Serena had $32 at the end.
For what values of x is the rational expression below undefined x-4/3x^2-65
If m || n, solve for x.
Show your work.
Answer:
x = 6
Step-by-step explanation:
They are same side interior angles, so they add up to 180:
[tex]8x + 1 + 21x + 5 = 180\\29x + 6 = 180\\29x = 174\\x = 6[/tex]
A rectangular banner measures 3 ft by 7 ft. How much material do you need for seven banners?
2.
Select the correct answer from the drop-down menu.
A coin is flipped 36 times. The least likely result for the coin to land on heads is
times.
Reset
Next
Answer:
30
Step-by-step explanation:
Just took the test
A student would like to know what proportion of the text messages she sends are to her best friend. She selects a random sample of 50 text messages she sent and determines the proportion of those messages that are sent to her best friend. Which of the following statements is true? The population is all of her friends and the sample is the best friend about whom she is performing this study. The population is the best friend about whom she is performing this study and the sample is all of her friends. The population is the 50 text messages she randomly selected and the sample is all text messages she sent. The population is all text messages she sent and the sample is the 50 text messages she randomly selected.
The statement fourth "The population is all text messages she sent and the sample is the 50 text messages she randomly selected" is correct.
What is simple random sampling?Simple random sampling is a sampling strategy in which every item in the population has an equal probability of being chosen for the sample.
We have:
A student would like to know what proportion of the text messages she sends is to her best friend.
The number of sample methods she selects = 50 text messages
As the sample consists of the 50 texts she randomly chose from the population of all the texts she sent.
Thus, the statement fourth "The population is all text messages she sent and the sample is the 50 text messages she randomly selected" is correct.
Learn more about the simple random sampling here:
brainly.com/question/13219833
#SPJ1
Solve for c C^2-25-11
Factor 4x2 + 4x + 1.
Answer:
(2x+1)²= (2x+1)(2x+1)
Step-by-step explanation:
(2x)²+2×2x×1+1²=(2x+1)²
There are six cups which each hold 340ml. What is the total ml
Answer:
2040ml
Step-by-step explanation:
Answer:
2,040
Step-by-step explanation:
1 cop =340
multiply 340 six times
the answer will be 2,040
The atomic mass of a chemical element is the number of protons + number of neutrons in each atom of that element—electrons are ignored. Examples The atomic mass of hydrogen (H) is 1 (1 proton) and that of helium (He) is 4 (2 protons + 2 neutrons).
The gram atomic mass of a chemical element is the atomic mass of that element in grams. Example The gram atomic mass of H is 1 gram and that for He is 4 grams.
Astounding Fact There are approximately 6 x 1023 atoms in the gram atomic mass of every known chemical element. Examples There are 6 x 1023 atoms in 1 gram of H and in 4 grams of He. Hence, there are 12 x 1023 atoms, or 1.2 x 1024 atoms, in 2 grams of H and in 8 grams of He.
Standard carbon is Carbon 12, abbreviated C-12. Its atomic number is 12 (6 protons and 6 neutrons) and its gram atomic mass is therefore 12 grams.
How many atoms are there in 96 grams of C-12? (Read the exponents carefully.)
(a) 1.2 x 1024 atoms (b) 12 x 1023 atoms (c) 4.8 x 1023 atoms
(d) 4.8 x 1024 atoms (e) 96 x 1024 atoms (f) none of the above
Answer:
Step-by-step explanation:
First the gram will use the chemical explanation then you will put 1h gram the atomic mass .Then add 6 x 1023
Done done
what is the discriminate of the quadratic equation 4x(squared)-2x +1 =0
Answer:
Step-by-step explanation:
The discriminant of quadratic ax^2+bx+c is b^2-4ac, in this case
(-2)^2-4(4)1
4-16
-12
Solve by the quadratic formula.
a) 5
b) -1
c) 1
d) -1/2
e) 4
Answer:
I hope this helps a little bit.
Step-by-step explanation:
the answer is -1/2 or -1
ms. Jackson's class is on a field trip to the museum of nature history.the cost for admission is$7per adult and$5per child
When a certain basketball player takes his first shot in a game he succeeds with prob. 1/3. If he misses his first shot, he loses confidence and his second shot will go with prob. 1/4. If he misses his first 2 shots, his third shot will go with pro. 1/5. If he misses his first 3 shots, his fourth shot will go with prob. 1/6. If he misses his first 4 shots, the coach will remove hom from the game. Assume that the player keeps shooting until he succeeds or he is removed from the game. Let X denote the number of shots he misses until his first success or until he is removed from the game.
Required:
a. Compute the p.m.f. of X.
b. Compute E[X]
Solution :
Let the number of the shots that the player while playing misses until the first success = x
The random variable X can take the values {0, 1, 2, 3, 4}
[tex]$P(x=0)$[/tex] = probability of the player that does not misses the 1st shot
The probability of the player that he success at the 1st shot = [tex]$\frac{1}{3}$[/tex]
[tex]$P(x=1)$[/tex] = probability of the player that misses the 1st shot but succeeds in his 2nd shot [tex]$=\frac{2}{3} \times \frac{1}{4}$[/tex]
[tex]$=\frac{1}{6}$[/tex]
[tex]$P(x=2)$[/tex] = probability of the player that misses the 1st two shot but succeeds in the 3rd shot [tex]$=\frac{2}{3} \times \frac{3}{4}\times \frac{1}{5}$[/tex]
[tex]$=\frac{1}{10}$[/tex]
[tex]$P(x=3)$[/tex] = probability of the player that misses the 1st three shot but succeeds in the 4th shot [tex]$=\frac{2}{3} \times \frac{3}{4}\times \frac{4}{5} \times \frac{1}{6}$[/tex]
[tex]$=\frac{1}{15}$[/tex]
Similarly,
[tex]$P(x)$[/tex] = (probability of missing the 1st four shots) x (probability of removing te player after the 1st four shots missed)
[tex]$=\frac{2}{3} \times \frac{3}{4}\times \frac{4}{5} \times \frac{5}{6} \times 1$[/tex]
[tex]$=\frac{1}{3}$[/tex]
a). The p.m.f of the X
X = x 0 1 2 3 4
P(X=x) [tex]$\frac{1}{3}$[/tex] [tex]$\frac{1}{6}$[/tex] [tex]$\frac{1}{10}$[/tex] [tex]$\frac{1}{15}$[/tex] [tex]$\frac{1}{3}$[/tex]
b). [tex]$E(X) = \sum x \times P(X=x)$[/tex]
[tex]$= 0\times \frac{1}{3}+1\times \frac{1}{16}+2\times \frac{1}{10}+3\times \frac{1}{15}+4\times \frac{1}{3}$[/tex]
[tex]$=\frac{114}{60}$[/tex]
= 1.9
Your school is printing programs for the honor society induction ceremony. L & L Printing will print the programs for $350 plus an additional $1.50 per program. Red Baron will print the programs for $1.82 per program. They do not have an initial fee.
Identify the slope for each of the Printing Companies
Answer:
The slope for L & L Printing is of $1.50, while for Red Baron is of $1.82.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, which represents how much y changes when x changes by 1 unit.
In this question:
The slope for each of the printing companies is the price of a program. Then:
The slope for L & L Printing is of $1.50, while for Red Baron is of $1.82.
Please need help on this not too sure on it.