The water's height at 8:30 PM is approximately 0.69 feet.
As per the data given in the question,
We have the equation,
depth = 4 * sin (0.5 * t)
where t is the number of hours after midnight.
As we need to find the depth of the water at 8:30 PM,
For finding the value of the depth at 8:30 PM we need to first convert 8:30 PM to the number of hours after midnight.
8:30 PM = 20.5 hours after midnight
So, substituting t = 20.5 into the equation,
we will get it as:
depth = 4 * sin (0.5 * 20.5)
depth = 4 * sin (10.25)
depth = 4 * 0.1736481776669303
depth = 0.6945971520676809
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The width of a rectangle is of the length. What is the perimeter ofthe rectangle when the width is inches?A
The perimeter of the rectangle when the width is 15 inches, would therefore be 90 inches
How to find the perimeter ?The width of the rectangle is said to be half of the length which means that because the width is 15 inches, then the length would be:
= 2 x width
= 2 x 15
= 30 inches
As we now have the length as 30 inches and the width as 15 inches, the perimeter of the rectangle would therefore be :
= 30 + 30 + 15 + 15
= 60 + 30
= 90 inches
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The full question is:
The width of a rectangle is half of the length. What is the perimeter of the rectangle when the width is 15 inches?
7th term in expansion of (a + b)⁹.
The 7th term in the expansion of [tex](a+b)^{9}[/tex] is [tex]36a^{7} b^{2}[/tex]
What is Binomial expansion?
An expression raised to any finite power can be expanded using the binomial theorem. The binomial theorem is a proper expansion technique with applications in probability, probability theory, and algebra. A binomial expression is an algebraic expression with two terms that are not the same.
The rth term in the expansion of [tex](a+b)^{n}[/tex] is [tex]^{n} C_{r}a^{r} b^{n-r}[/tex].
So, the 7th term in the expansion of [tex](a+b)^{9}[/tex] is [tex]^{n} C_{r}a^{r} b^{n-r}[/tex].
We know that [tex]^{n} C_{r}=\frac{n!}{(n-r)!r!}[/tex].
So,
[tex]^{9} C_{7}=\frac{9!}{(9-7)!7!} \\^{9} C_{7}=\frac{9*8}{2}\\ ^{9} C_{7}=36[/tex]
Therefore the 7th term in the expansion of [tex](a+b)^{9}[/tex] is equal to [tex]36a^{7} b^{2}[/tex].
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3(2x + 1) + 2(x + 4)
Answer: 8x + 11
Step-by-step explanation:
1. Distribute the 3 on both variables. SO 3 times 2x plus 3 times 1 is (6x+3).
2. Do the same for the 2. You get (2x +8)
3.(6x+3) + (2x+8).
4. Rid the parenthesis.
5. 6x + 3 +2x + 8.
6. Combine like terms.
7. 8x + 11 is your solution.
Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell popcorn at the Spring Fling Carnival, and Team B wants to sell cotton candy. It costs $15 to rent a popcorn machine and it costs $25 to rent a cotton candy maker. The cost of additional supplies for the popcorn is $0.05 per bag. The additional cost for the cotton candy is $0.10 per stick. Team A will sell the bags of popcorn for $0.50 each. Team B will sell the cotton candy for $0.75 per stick.
Create a system of equations to model the profit for each team.
The system of equations that models the profit for each team is given as follows:
A(x) = 0.45x - 15.B(x) = 0.65x - 25.How to graph the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change of the linear function.b is the intercept, representing the value of y when the graph crosses the y-axis.The slope and intercept for the functions in this problem are given as follows:
Slope: Revenue per bag/candy - Cost per bag/candy.Intercept: Cost per machine, as a negative.More can be learned about linear functions at https://brainly.com/question/24808124
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A cylindrical vase has height 15 in. and radius 3in. Find the exact surface area of the vase in terms of . Suppose a second vase has double the radius, but the same surface area. What is the height of this vase?
Answer: pi*3^2= 9pi
pi*6=6pi
6pi*17= 102pi
102pi+9pi= 111pi in. squared
pi*6^2=36pi
pi*12=12pi
36pi+12pi*x=111pi
12pi*x=75pi
x=6.25pi
x=Height btw
Which number is one hundredth less than 7.3?
a three-person committee is chosen at random from a group of 6 women and 3 men. find the probability that the committee contains at least one man.
The probability that the committee contains at least one man is 16/21 or 0.7619 or 76.19%.
To find the probability, we divide the number of committees that contain at least one man by the total number of possible committees.
The total number of possible committees is the number of ways to choose 3 people from the 9 total people (6 women and 3 men). This can be calculated using the combination formula C(9,3) = 9! / (3!(9 - 3)!) = 84.
The number of committees that contain at least one man is the number of committees that contain exactly 1 man plus the number of committees that contain exactly 2 men plus the number of committees that contain exactly 3 men.
Exactly 1 man: C(3,1) x C(6,2) = 45
Exactly 2 men: C(3,2) x C(6,1) = 18
Exactly 3 men: C(3,3) = 1
Adding up the results of these three calculations, we find that the number of committees that contain at least one man is
45 + 18 + 1 = 64
probability of having at least one man = 64/84 = 16/21 = 0.7619 = 76.19%
So, the probability that the committee contains at least one man is 16/21 or 0.7619 or 76.19%.
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the time in hours taken to travel from city a to city b is what type of variable? multiple choice distraction discrete numerical categorical continuous numerical
The time in hours taken to travel from city A to city B is a continuous numerical variable.
A continuous numerical variable is a type of variable that can take on any value within a given range. It is numerical in nature, meaning it can be represented as a number, and it is continuous, meaning it can take on values at any point within a given range, not just specific, discrete values.
In the case of the time taken to travel from city A to city B, it can take on any value within a certain range of time, for example, from 0 hours to 24 hours.
This value can be any number, including a fraction of an hour, such as 3.5 hours or 4.75 hours, which are continuous values within the given range. This makes the time taken to travel a continuous numerical variable.
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Type an essay response to the following prompt. Completely explain all parts of your response in your essay.
1) In your words, write a definition for sales tax. 2) if you buy a meal from a restaurant that cost $15.00, and the tax is 7% how much do you pay in taxes? Explain in detail the steps you would take to solve this tax question
You paid $16.05 with taxes for a meal.
The definition of the sales tax is given below.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
1) If you buy a meal from a restaurant that cost $15.00, and the tax is 7%,
then the amount of the tax is,
= 15 x 7 / 100
= $1.05
2) The sales tax:
The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a traditional sales tax is imposed, collected by the shop, and forwarded to the government.
Therefore, the taxed amount is $1.05.
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I’m not sure how to do it I’ve done a similar question but I don’t get this one
The standard deviation for the given data is 5
What is Standard Deviation ?
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.
Given that,
the data,
X Xₙ - X₀ (Xₙ - X₀)²
18 -7 49
21 -4 16
24 -1 1
24 -1 1
25 0 0
31 6 36
32 7 49
175 152
X₀ = 175/7 = 25
Variance = (Xₙ - X₀)²/(n-1)
= 152/(7-1)
= 25.33
Standard deviation = √Variance
= √25.33
= 5.03
Hence, the standard deviation is 5
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in the lottery game, a player picks six numbers from how many different choices does the player have if repetition is not allowed?
In a lottery game where a player picks six numbers and repetition is not allowed, the player has a certain number of choices for each number. The number of choices for each number depends on the range of numbers from which the player can pick.
Let's say the range of numbers from which the player can pick is 1 to 49. For the first number, the player has 49 choices, because they can pick any number from 1 to 49. However, once the player has picked their first number, they have 48 choices for their second number, because they cannot pick the same number again. For the third number, the player has 47 choices, for the fourth number, 46 choices, for the fifth number, 45 choices, and for the sixth number, 44 choices.
The total number of different combinations of six numbers that the player can pick is calculated by multiplying the number of choices for each number. This can be written as 49 x 48 x 47 x 46 x 45 x 44. The total number of combinations is 10,068,347,520.
In other words, if a player picks six numbers from a range of 1 to 49, without repetition, the player has 10,068,347,520 different combinations of numbers to pick from.
It's important to understand that repetition is not allowed in this type of lottery game, as it would greatly increase the number of combinations. Allowing repetition would mean that the player could pick the same number multiple times, which would significantly increase the number of combinations and make the game much less challenging.
In conclusion, in a lottery game where a player picks six numbers from a range of 1 to 49, without repetition, the player has 10,068,347,520 different combinations of numbers to choose from. The number of choices decreases with each number picked, as repetition is not allowed, making the game more challenging.
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please help find the sum without the use of a number line
step 1 :
BODMAS
STANDS FOR:brackets, of, division, multiplication ,addition ,subtraction.
so now you have to open the brackets then add following bodmas formula.
NOTE;THE NUMBER OR SYMBOL BEFORE THE BRACKET IS PART OF THE BRACKET.
+(-11/29) is the same -11/29
33/58-11/29=11/58
the trick really is to use BODMAS
^^
HELP !!!!!!! Select all the solutions to the inequality 3(2x-1)>5(x+1)
A.-2
B.0
C.2
D.8
E.11
F.15
Answer:
E. and F. (11 and 15). D. is not correct since the equation says > 8, not >= to 8.
Step-by-step explanation:
3(2x-1)>5(x+1)
6x-3>5x+5
x>8
the hallmark of a quasi-experiment is group of answer choices absence of any specific intervention or treatment. high levels of control over treatment conditions. random assignment of participants to conditions. lack of random assignment of participants to conditions.
(A) The lack of any particular intervention or treatment is a distinguishing feature of a quasi-experiment.
What is the hallmark of a quasi-experiment?Experimental and quasi-experimental studies are characterized by testing an intervention's effects.
If a human subject is included in an intervention, the researcher will randomly assign them to either receive the independent variable, such as a modified diet or nutritional supplement or to the control group.
Putting into practice an intervention without using randomization.
"In that, an independent variable is manipulated, quasi-experimental research is comparable to experimental research.
Because there is either no control group, no random selection, no random assignment, or no active manipulation, it varies from experimental research."
Therefore, (A) the lack of any particular intervention or treatment is a distinguishing feature of a quasi-experiment.
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Complete question:
What is the hallmark of a quasi-experiment?
A. the absence of any specific intervention or treatment.
B. high levels of control over treatment conditions.
C. random assignment of participants to conditions.
D. lack of random assignment of participants to conditions.
Make a scatter plot of the data below.
Speed (mph)
Stopping distance (ft)
10
12.5
20
36.0
30
69.5
40
114.0
50
169.5
60
249.0
70
325.5
Using the quadratic regression equation
y = 0.06 x squared + 0.31 x + 4
predict what your stopping distance would be if you were going 80 miles per hour.
a.
363.2 ft
b.
412.8 ft
c.
355.2 ft
d.
33.6 ft
By using the quadratic regression feature of a graphing calculator a quadratic model would be;
⇒ y = 0.06x² + 0.31 x + 4
And, Your stopping distance would be if you were going 80 miles per hour is, 412.8 ft.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Speed (mph) Stopping distance (ft)
10 12.5
20 36.0
30 69.5
40 114.0
50 169.5
60 249.0
70 325.5
Now, Use the quadratic regression feature of a graphing calculator to find a quadratic model.
Hence, From the above data, we get;
⇒ y = 0.06x² + 0.31 x + 4
Hence, Your stopping distance would be if you were going 80 miles per hour is,
⇒ y = 0.06x² + 0.31 x + 4
⇒ y = 0.06(80)² + 0.31 (80) + 4
⇒ y = 384 + 24.8 + 4
⇒ y = 412.8 ft
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20 PNTS!! WILL MARK BRAINLIEST QUICK! fill this out
Answer:
2. 3 and 5
3. 3 and 4
4. 3 and 2
5. 3 and 6
Please help me with this
Answer:
20
Step-by-step explanation:
You multiply the dimensions in the small triangle with fiveExample: base of the big triangle is 15 while the small triangle's base is 3. [tex] \frac{15}{3} = 5[/tex]So to get the height you have to multiply the height of the small triangle with 5 which is[tex]4 \times 5 = 20[/tex]
A random sample of teenagers were surveyed about
their favorite sport. The bar graph below displays their
responses.
Frequency
(0
Basketball
Favorite Sports
Football
Lacrosse
Soccer
Favorite Sport
Volleyball
Which of the following statements is correct?
O The bar for lacrosse is one-third the height of the
bar for football.
O More teenagers in the sample chose lacrosse over
volleyball as their favorite sport.
OTwice as many teenagers in the sample chose
soccer over basketball as their favorite sport.
Twice as many teenagers in the sample chose
football over basketball as their favorite sport.
Answer:
it is C i just got a 100 on the unit test review
Step-by-step explanation:
OAB is a sector of a circle.
Calculate the radius of the circle to 2 d.p.
B.
131°
cm
192 cm
Not drawn accurately
The radius of the circle is 83.91 cm
How to determine the radius of the circleFrom the question, we have the following parameters that can be used in our computation:
Angle = 131 degrees
LEngth of arc = 192 cm
The length of arc is calcuulated as
Length = Angle/360 * 2pi r
Substitute the known values in the above equation, so, we have the following representation
131/360 * 2 * 22/7 * r = 192
So, we have
r = (192 * 7 * 360)/(131 * 2 * 22)
Evaluate
r = 83.91
Hence, the radius is 83.91 cm
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Find the length of the third side. If necessary, round to the nearest tenth.
The length of the leg in the triangle is 11.6 units
How to find the length of the leg in the triangleFrom the question, we have the following parameters that can be used in our computation:
The figure shows a right triangle with one leg marked 11. The hypotenuse is marked 16.The length of the other leg using Pythagorean Theorem is
Other Leg = √(Hypotenuse² - One Leg²)
So, we have
Orher Leg = √(16² - 11²)
Evaluate
Other leg = 11.6
Hence, the other leg is 11.6 units
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Placing events in the order in which they occur is called
O spatial order
O chronological order
O deductive order
Answer: Chronological order
Step-by-step explanation:
In composition and speech, chronological order is a method of organization in which actions or events are presented as they occur or occurred in time and can also be called time or linear order. Narratives and process analysis essays commonly rely on chronological order.
Please solve 1, 2, 6, 7, 13, 14, 17, 20, 22, 25,and 30
The expressions on both sides of the equal sign are examples of the product of two polynomials, and the goal is to simplify these products into the standard form of a single polynomial. To do this, we use the distributive property of multiplication over addition.
Starting with the first expression (5x-3)(8x-4). We use the distributive property to expand the product of two polynomials into a single polynomial:
(5x-3)(8x-4) =
= (5x × 8x) + (5x × -4) + (8x × -3) + (- 4 × -3) =
= 40x² - 20x - 24x + 12 =
= 40x² - 44x + 12 =
= 10x² - 11x + 3.
In a similar manner, the second expression can be expanded and simplified. We use the distributive property to expand the product of two polynomials into a single polynomial:
(2x+8)(7x+6) =
= (2x × 7x) + (2x × 6) + (8 × 7x) + (8 × 6) =
= 14x² + 12x + 56x + 48 =
= 14x² + 68x + 48 =
= 7x² + 38x +24x.
So both expressions have been simplified into the standard form of a single polynomial, and both are equal to the expressions on the right side of the equal sign.
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suppose a random sample of size 5 from a uniform(0, theta) distribution yielded the measurements 1.52, 7.81, 1.28, 6.90, 1.17. what is the method of moments estimate of theta?
The exact values of trigonometric functions cosine and tangent are 4 / 5 and 3 / 4, respectively.
How to determine the exact value of a trigonometric function
In this question we must determine the exact value of two trigonometric functions on the basis a given value of another trigonometric function, whose quadrant is also known. According to the statement, sine is in the first quadrant, then both cosine and tangent are also positive. The value of cosine can be found by means of following trigonometric formula:
cos θ = √(1 - sin² θ)
cos θ = √[1 - (3 / 5)²]
cos θ = 4 / 5
And the exact value of tangent can be found by this formula:
tan θ = sin θ / cos θ
tan θ = (3 / 5) / (4 / 5)
tan θ = 3 / 4
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the x-coordinate is the a. first number of an ordered pair and represents the point's horizontal location. b. second number of an ordered pair and represents the point's horizontal location. c. second number of an ordered pair and represents the point's vertical location. d. first number of an ordered pair and represents the point's vertical location.
The x-coordinate is the a) first number of an ordered pair and represents the point's horizontal location.
An ordered pair is a composition of the x coordinate also known as abscissa and the y coordinate also known as ordinate, having two values written in a fixed order within parentheses.
The ordered pair helps to locate a point on the Cartesian plane for better visual comprehension and its numeric values in an ordered pair can be integers or fractions. It is represented as (x, y) Where, x = abscissa, the distance measure of a point from the primary axis “x” and, y = ordinate, the distance measure of a point from the secondary axis “y”
Hence, the x-coordinate is the first number of an ordered pair and represents the point's horizontal location.
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cylinder is cut in thirds, find surface area of the small cylinders. Radius is 0.25, height is 1.2, surface area is 2.28 and volume is 0.2356
The surface area of each small cylinder is 2.28 square units
How to find the surface area of the cylinderThe surface area of each small cylinder is:
Surface area = 2πr(h + r)
Where
r is the radius (0.25) and
h is the height (1.2).
Plugging in the values, we get:
Surface area = 2 * π * 0.25 * (1.2 + 0.25)
Surface area = 2 * π * 0.25 * 1.45
Surface area = 2.28
Each small cylinder has a surface area of 2.28 square units.
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you want to make a graph to display the distribution of the salaries of the 1,700 professors at a large university. the best choice is a
Histogram. is a best choice to display the data.
A histogram is a type of graph that is used to represent the distribution of continuous or discrete data by dividing the data into intervals (bins) and counting the number of data points in each bin.
In a histogram, the bins are represented by bars, and the height of each bar represents the frequency or density of the data within the corresponding interval.
In the case of the salaries of professors, a histogram would be a good choice for displaying the distribution of the salaries because it provides a visual representation of the frequency of different salary ranges and helps to identify any patterns or anomalies in the data.
By dividing the salaries into appropriate intervals, the histogram allows you to see how many professors have salaries within a particular range, and to compare the frequency of different salary ranges.
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PROBLEM #2
Three stores are having a sale on apples. Which store has the
BETTER deal?
FRUIT MARKET 5 apples for 2.25 FRUITZ: 8 apples for 4.20
VITAMIN C:$6.62 from 12 apples
0.45 is the smallest cost per apple, the best deal can be found at Fruit Market.
What do you mean by cost?Cost refers to the amount of money, time, or resources that are required to obtain, produce, or achieve something. It can refer to the expense involved in purchasing a product or service, or the investment required to start a new business, undertake a project, or undertake some other endeavor. In general, cost can be thought of as the sacrifice made in order to gain something of value.
To compare the deals, we need to find the cost per apple for each store.
For Fruit Market: 5 apples cost 2.25, so the cost per apple is 2.25 / 5 = 0.45.
For Fruitz: 8 apples cost 4.20, so the cost per apple is 4.20 / 8 = 0.525.
For Vitamin C: 12 apples cost 6.62, so the cost per apple is 6.62 / 12 = 0.55.
Since 0.45 is the smallest cost per apple, the best deal can be found at Fruit Market.
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Decide if each statement about the expressions is true or false for each statement.
a. 6(-b+8) and 2(-3b + 4) are equivalent
expressions.
b. -8h-3.5 and -0.5(16h - 7) are equivalent
expressions.
c. -9(k-5+ 2k - 8) and -27k + 117 are
equivalent expressions.
d. (36m +12) and 12m + 4 are equivalent
expressions.
True False
O
Il cholves bold hitems
a. False . 6(-b+8) and 2(-3b + 4) are non equivalent expressions.
b. False . -8h-3.5 and -0.5(16h - 7) are non equivalent expressions.
c. True . -9(k-5+ 2k - 8) and -27k + 117 are equivalent expressions.
d. False .(36m +12) and 12m + 4 are equivalent non expressions.
What are equivalent expressions ?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
What are non equivalent expressions ?
If "x" is the same for both equations, then they are equivalent. If "x" is different (i.e., the equations have different roots), then the equations are not equivalent.
Hence ,
a. False . 6(-b+8) and 2(-3b + 4) are not equivalent expressions.
b. False . -8h-3.5 and -0.5(16h - 7) are not equivalent expressions.
c. True . -9(k-5+ 2k - 8) and -27k + 117 are equivalent expressions.
d. False .(36m +12) and 12m + 4 are equivalent not expressions.
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A line is drawn through the origin (0, 0) with a gradient of 2. Can you list 3 points that this line goes through?
explain with a diagram pls
Please help I have a learning disailty and this is due today.PLEASE PLEASE I DONT KNOW THE ANSWER AND SOOOOOOOOOOOO NEED THIS I WILL DO ANYTHING YOU WANT MARK YOU ASK A QUESTION SO YOU GET THE POINTS PLEASE I JUST REALLY NEED HELP.
Start at hexagon A. After you solve the expression find the answer in blue on the edge on the hexagon. The answer will lead you to your next hexagon.
Continue along the maze path until you reach the hexagon with an S in the flower. This is where you will finish.
To answer the questions below, type the letter in each hexagon that you solved along the maze in the order they were answered.
You do not need to include the starting hexagon (of A) or the end hexagon (of S). These are already written in the order below.
Use only capital letters when typing in the hexagon letter
Starting hexagon A
Second hexagon solved ______________________
Third hexagon solved____________________________
Fourth hexagon solved________________________________
Fifth hexagon solved____________________________________-
Last hexagon S (flower)
A mathematical description of hexagon is given above.
What is a polygon?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
The bounded plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides.
Given is hexagon.
In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.
A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).
Therefore, a mathematical description of hexagon is given above.
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