Answer:
8000
Step-by-step explanation:
Answer:
8,000
Step-by-step explanation:
8,000 is the same as 8 one-thousands, which is the same as 8 × 1,000
Hope that helps!
AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30
The statement that is not true is (a) A = 74 degrees
How to determine which statement is not true?From the question, we have the following parameters that can be used in our computation:
The dilation of ABC by a scale factor of 2
This means that
Scale factor = 2
The general rule of dilation is that
Corresponding sides are similar i..e they have the same ratioCorresponding angles are equalusing the above as a guide, we have the following:
AC = 2 * 5 = 10
C = 53 degrees
BC = 2 * 3 = 6
A = 37 degrees
Hence, the statement that is not true is (a) A = 74 degrees
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Solving Division Story Problems: Tutorial
52 of 54
E Save & Exit
Geri ran in a marathon race. It took her 3 hours and 28 minutes to run
26 miles. how many minutes did it take her to run 1 mile if she ran at the
same rate for the whole race?
Answer the question below. Type your response in the
space provided.
(1 hour = 60 minutes)
Answer the question.
minutes
Clear
832 PM
O Type here to search
na do
Answer:
8 minutes
Step-by-step explanation:
Let t represent the time for one mile. We are told the ratio of minutes to miles is constant, so we have the proportion ...
time / distance = t/(1 mi) = (208 min)/(26 mi)
Multiplying both sides of the equation by (1 mi), we have ...
t = (208/26) min = 8 min
Geri's average pace was 8 minutes to run 1 mile.
A coach asked her athletes if they enjoy running. Fifty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.
The tree diagram shows athletes branching off into two categories, enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories, enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two subcategories, enjoys cycling and does not enjoy cycling.
What is the total percentage of the athletes who enjoy cycling?
9%
25.5%
55%
74.5%
Answer:
75%
Step-by-step explanation:
To determine the total percentage of athletes who enjoy cycling, we need to consider the percentages given in the problem.
According to the information provided:
55% of the team does not like to run.
Of those who do not like to run, 70% enjoy cycling.
Of those who enjoy running, 80% also enjoy cycling.
To calculate the total percentage of athletes who enjoy cycling, we need to consider the percentages from both branches of the tree diagram.
Percentage of athletes who do not like to run and enjoy cycling:
= (Percentage of athletes who do not like to run) * (Percentage of those who enjoy cycling within that group)
= 55% * 70% = 38.5%
Percentage of athletes who enjoy running and enjoy cycling:
= (Percentage of athletes who enjoy running) * (Percentage of those who enjoy cycling within that group)
= (100% - 55%) * 80% = 45% * 80% = 36%
Total percentage of athletes who enjoy cycling:
= Percentage of athletes who do not like to run and enjoy cycling + Percentage of athletes who enjoy running and enjoy cycling
= 38.5% + 36% = 74.5%
Therefore, the correct answer is:
74.5%
A car traveled to the New York and back. The trip there took two hours and the trip back took three hours. It averaged 25 km/h faster on the trip there than on the return trip. Find the car’s average speed on the outbound trip.
The car’s average speed on the outbound trip is; 62.5 km/h
How to solve distance - speed problems?Let the distance from home to new york be x.
Formula for speed is;
Speed = distance/time
Thus;
v₁ = x/2
Similarly,
v₂ = x/3
Now, It averaged 25 km/h faster on the trip there than on the return trip.
Thus;
v₁ = v₂ + 25
Thus;
v₂ + 25 = x/2
Put x/3 for v₂ to get;
x/3 + 25 = x/2
Multiply through by 6 to get;
2x + 150 = 3x
x = 150 km
v₁ = 150/2
v₁ = 75 km/h
Similarly,
v₂ = 150/3
v₂ = 50 km/h
Thus;
Average speed = (50 + 75)/2
Average speed = 62.5 km/h
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Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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PLEASE HELP ME I WILL GIVE YOU 5 STAR RATING A THANKS AND BRAINLIEST RATINGGGGG
Answer:
It's the third choice.
Step-by-step explanation:
IF y varies inversely as x then y = k/x where k is a constant,
and k = xy
For the 3rd choice
-1 * -2/7 = 2/7
4 * 1/14 = 2/7 and
6 * 1/21 = 2/7
so, this is inverse variation.
" alt="A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 2.5 and from 2.5 to 5."/>
The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.
On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.
This image can be visualized as follows:
0 1 2 3 4 5 6 6.5
|--------|--------|--------|--------|--------|--------|--------|
|------------------------|------------------------|
0 to 2.5 2.5 to 5
The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.
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x/2 + 5= -8 what does x equal and show work
Answer:
x = -26
Step-by-step explanation:
x/2 + 5 = -8
First let's combine like terms.
Subtract 5 from both sides.
x/2 = -13
Multiply both sides by 2 to isolate x.
x = -26
Plug this back into the original equation to check your answer.
-26/2 + 5 = -8
-13 + 5 = -8
-8 = -8
Your answer is correct.
Hope this helps!
Answer:
x=-26
Step-by-step explanation:
x/2 + 5 = -8
x/2 + 5 - 5 = -8 - 5
x/2 = -13
x = -26
this is all of the work I did to solve what x is! I hope it helped! There are many other way to solve this problem. This is the way which a lot of ppl do.
Compare 8/3 and 19/8.
Answer:
8/3 > 19/8
Step-by-step explanation:
Get a common denominator
8/3 *8/8 = 64/24
19/8 *3/3 =57/24
Comparing the numerators
64>57
8/3 > 19/8
Select the action you would use to solve x/3=12. Then select the property that justifies that action
Answer:
To solve this I would multiply both sides by 3
Step-by-step explanation:
i would use the multiplication property of equality
The property that justifies that action x/3=12 is a linear question using reciprocal law.
What is a linear equation?A linear equation has one or two variables.
No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.explanation:-
x/3= 12
x = 12*3 ( using reciprocal)
hence x = 36
solving this we will get the valve of Y if x is given.
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If 8 pounds of ground beef cost $10.32, how much would 12 pounds cost?
Answer:
$15.48 for 12 lbs
Step-by-step explanation:
Check photo for work
The 12 pounds of ground beef cost is $15.48.
What is unitary method ?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
8 pounds of ground beef cost $10.32
i.e 8 pounds of ground beef = $10.32
1 pounds of ground beef = \(\frac{10.32}{8}\)
1 pounds of ground beef = $1.29
Therefore,
12 pounds of ground beef = 1.29*12
12 pounds of ground beef = $15.48
Hence, 12 pounds of ground beef is of $15.48.
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Write an equation of the form y = kx for the relationship shown in each graph. Show work if possible.
Answer:
5) \(y=\frac{7}{2}x\)
6) \(y=\frac{1}{4}x\)
Step-by-step explanation:
k in this equation represents the slope of the line. To find the slope of a line, pick 2 points that land perfectly on the grid and find the vertical and horizontal distance between them. The vertical distance is the 'rise', and the horizontal distance is the 'run'. Given those two numbers, you can calculate the slope:
\(k=\frac{rise}{run}\)
A more precise definition is:
\(k=\frac{y2-y1}{x2-x1}\)
5)
You can use whichever 2 points you want here. I'll use the 2 outermost points:
(x1, y1) = (2, 7)
(x2, y2) = (8, 28)
Now, to find the distance between them, subtract the position of the first point from the second point. Vertical distance first, subtract the y-coordinates:
\(28-7=21\)
The rise is 21.
Horizontal distance, subtract the x-coordinates:
\(8-2=6\)
Slope is 'rise over run' as I wrote above, so you can now write the slope and the equation of the line:
\(k=\frac{21}{6}\\\\k=\frac{7}{2}\\\\y=\frac{7}{2}x\)
6)
I'll pick the 2 outermost points again:
(x1, y1) = (8, 2)
(x2, y2) = (24, 6)
This time, I'll just plug all 4 values directly into the 2nd formula I wrote at the top.
\(k=\frac{y2-y1}{x2-x1}\\\\k=\frac{6-2}{24-8}\\\\k=\frac{4}{16}\\\\k=\frac{1}{4}\\\\y=\frac{1}{4}x\)
Three towns are linked by three straight roads. Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads. To do this, she needs to find the ____ of the triangle formed by the three roads.
Answer Choices:
Center
Incenter
Circumcenter
Answer:
c
Step-by-step explanation:
Loretta Adman needs to find the center of the triangle formed by the three roads.
What is Center, Incenter and Circumcenter of the triangle?
Incenter I, whose point is equidistant from the triangle's sides, and circumcenter O, whose point is equidistant from each of the triangle's vertices. A triangle center is a point in the plane that resembles the centers of squares and circles in some ways, meaning that it is roughly in the centers of the figure.
Given: Three towns are linked by three straight roads.
Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads.
The center is in the middle of the figure by some measure.
Therefore, Loretta Adman needs to find the center of the triangle formed by the three roads.
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If half and half costs $3.29 for one quart ( 32 ounces) at stop to shop, what is the cost for per gallon( 128 ounces) plz help
express the function graphed on the axes below as a piecewise function
The piecewise function graphed is defined as follows:
y = -2x - 12, x < -5.y = -x + 5, x > 3.How to define the piecewise function?A piecewise function is a function that has multiple definitions, depending on the input x of the function.
The function in this problem has definitions for two intervals, given as follows:
x < -5.x > 3.For x < -5, the function is decreasing with a slope of -2, as when x increases by 1, y decays by 2, hence:
y = -2x + b.
When x = -6, y = 0, hence the intercept b is given as follows:
0 = -2(-6) + b
b = -12.
Hence:
y = -2x - 12, x < -5.
For x > 3, the function is decreasing with a slope of -1, as when x increases by 1, y decays by 1, hence:
y = -x + b.
When x = 5, y = 0, hence the intercept b is given as follows:
0 = -5 + b
b = 5.
Hence:
y = -x + 5, x > 3.
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Find the distance AB:
A = (-2, 1) and B=(5,-4)
Simplify.
d =
= √(5--2)² + (-4-1)²
Answer:
now
Step-by-step explanation:
d= √(X2 _ X1) +(Y2 - Y1). = (5 -2 )+ (-4- 1)=
A player chooses one of the numbers 1 through 4. After the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered 1 through 4. If the number chosen appears on the bottom of exactly one die after it is rolled, then the player wins If the number chosen appears on the bottom of both of the dice, then the player wins If the number chosen does not appear on the bottom of either of the dice, the player loses What is the expected return to the player, in dollars, for one roll of the dice
Answer: \(=\frac{-1}{16}\)
Step-by-step explanation:
given data:
number to be chosen from = 1,2,3,4.
Solution:
ways the number can show
\(2*3*1=6\) ways for your number to appear once.
\(1*1=1\) ways for your number to appear twice.
\(3*3=9\) ways for your number not to appear at all
\(= \frac{6(1) + 1(2) - 9(1)}{16}\)
\(= \frac{6+2-9}{16}\)
\(=\frac{-1}{16}\)
expected return of the player is \(=\frac{-1}{16}\)
Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. ∫ 9 0 | 6 x − 6 | d x
Answer:
-189
Step-by-step explanation:
\(\int^9_0 \ |6x-6| \ dx\)
⇒ 6x - 6 = 0
6x = 6
x = 1
\(\int^9_0 \ (6x- 6 ) \ dx = \int^9_0 \ -(6x - 6) \ dx\)
\(= - \Big[ \dfrac{6x^2}{2}- 6x \Big]^9_0\)
\(= - \Big[ \dfrac{6(9)^2}{2}- 6(9) - 0 \Big]\)
\(= -(243 - 54 - 0 )\)
= -189
85% of the dogs at a park weighed over 50 pounds. If there were 400 dogs at the park, how many dogs at the park weighed over 50 pounds?
Answer:
425
Step-by-step explanation:
The number of dogs at the park that weighed over 50 pounds will be 332 dogs.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
85% of the dogs at a park weighed over 50 pounds. If there were 400 dogs at the park. Then the number of dogs at the park that weighed over 50 pounds will be given as,
⇒ 85% of 400
⇒ 0.85 x 400
⇒ 332 dogs
The number of dogs at the park that weighed over 50 pounds will be 332 dogs.
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64° 42 °
xº
48°
Find the value of x
Find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis. ||u||= 4, θu =6 , ||v|| = 1, θv = 4
The component of u+v along the length of u and v is (6.3, 0.66).
A vector is quantity which has both magnitude and direction. A magnitude is the length of the vector.
Here in the question u and v makes angle with the positive x axis.
||u||= 4 and θu =6 and ||v|| = 1, θv = 4
To determine the component of u = |u||(cosu, sinu)
Component of u = 6(0.9, 0.1) = (5.4, 0.6)
Component of v = ||v||(cosv sinv)
Component of v along the x axis = 1(0.9, 0.06 ) = (0.9, 0.06)
In the question value of u+v needs to be find.
Value of u + v = (5.4 + 0.9 , 0.6+ 0.06)
Value of the component form of u + v = (6.3, 0.66).
Hence, the component of u+v along the length of u and v is (6.3, 0.66).
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4. Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
How long will it take for Peter to finish the job alone?
How long will it take for Emily and Peter to finish the job together.
According to the unitary method,
A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.
B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.
Unitary method:
In math, unitary method refers the process of finding the value of a single unit, and based on this value.
Given,
Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
Here we need to find the following:
A) The time take for Peter to finish the job alone
B) The time taken for Emily and Peter to finish the job together
Let us consider x be the time taken for Peter to finish the job alone.
So, based on the given question we can write it as,
=> 1/6 + 1/8 + 1/x = 1/2
=> (8 + 6)/48 + 1/x = 1/2
=> 14/48 + 1/x = 1/2
=> 7/24 + 1/x = 1/2
=> 1/x = 1/2 - 7/24
=> 1/x = 12 -7/24
=> 1/x = 5/24
=> x = 24/5
=> x = 4.8
So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.
Then the time taken for Emily and Peter to finish the job together is calculated as,
=> 5/24 + 1/6
=> 5 + 4/ 24
=> 9/24
=> 3/8
Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.
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Which expression is the product of (x^2 -5x-4)and(2x+1)?
Answer:
2x^3+x^2-23x-4
Step-by-step explanation:
x^2(2x+1)-5x(2x+1)-4(2x+1)
2x^3+x^2-10x-5x-8x-4
=2x^3+x^2-23x-4
26. My little brother has a 4-digit bike lock with the digits 0 to 9 on each part of the lock as shown. He started on the correct combination and turned each part the same amount in the same direction and now the lock shows the combination 6348. Which of the following CAN- NOT be the correct combination of my brother's lock? (A) 8560 (B) 3015 (C) 4906 (D) 1893 (E) 6348 0782 Activate Windows
Answer:
A
Step-by-step explanation:
The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.
Triangle ABC has the vertices A(2, 0), B(4, 2), and C(3, 4).
Name the ordered pair of C' after a reflection across the
x-axis.
Answer: C’(3,-4)
Step-by-step explanation: All you have to do is count how many blocks away is the point from the x axis and then count down the x axis where you stop counting and that is how you get your point.
Donan solves the equation using the sequential steps below.
which property was applied from Step 1 to Step 2
Step 1: (4x+5)-2x=13
Step 2 (4x-2x) + 5=13
Step 3: 2x +5=13
Step 4: 2x=8
Step 5: x=4
The Associative Property
The Distributive Property
The Commutative Property
The Addition property of Equality
The Subtraction Property of Equality
Answer:
Associative property
Step-by-step explanation:
This property states that when three or more numbers are added (or multiplied), the sum (or the product) is the same regardless of the grouping of the addends (or the multiplicands).
eg. a+(b+c) is same as (a+b)+c
I need some statistics help
True or False
____ 6. If the obtained sample data (test statistic value) is inside the critical region, then we have provided support for the researcher's hypothesis
____ 7. When the Z-test statistic, obtained from the sample data, falls inside the critical region, we reject the null hypothesis
____ 8. If the obtained sample data (test statistic value) are not in the critical region, the correct statistical decision is "fail to reject the null hypothesis."
____ 9. If you fail to reject the null hypothesis, it means that the data do not provide sufficient evidence to say that the treatment has an effect: the independent variable had an effect on the dependent variable
____ 10. Whenever the statistical decision is to fail to reject the null hypothesis, there is a probability that the decision is incorrect and this probability is known as Type I error
True 6. If the obtained sample data (test statistic value) falls inside the critical region, it provides support for the researcher's hypothesis.
True 7. When the Z-test statistic, obtained from the sample data, falls inside the critical region, it indicates that the observed result is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, we reject the null hypothesis and accept the alternative hypothesis.
True 8. If the obtained sample data (test statistic value) is not in the critical region, it means that the observed result is likely to have occurred by chance under the assumption of the null hypothesis. hypothesis.
True 9. Failing to reject the null hypothesis means that the data do not provide sufficient evidence to conclude that the treatment or independent variable had a significant effect on the dependent variable.
True 10. Whenever the statistical decision is to fail to reject the null hypothesis, there is a possibility of making a Type I error.
6. The critical region is determined based on the desired level of significance and contains the extreme values that would lead to rejecting the null hypothesis.
7. When the Z-test statistic, obtained from the sample data, falls inside the critical region, it indicates that the observed result is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, we reject the null hypothesis and accept the alternative hypothesis.
8. In this case, we do not have sufficient evidence to reject the null hypothesis, and the correct statistical decision is to "fail to reject" the null
9. It does not necessarily mean that the treatment had no effect, but rather that the evidence in the sample is not strong enough to support such a claim.
10. Type I error refers to rejecting the null hypothesis when it is actually true. The probability of committing a Type I error is denoted by the significance level (usually denoted as alpha) and is predetermined before conducting the statistical test.
In summary, the statements are all true. The critical region plays a crucial role in hypothesis testing, and the decisions made based on the test statistic falling inside or outside the critical region determine whether the null hypothesis is rejected or failed to be rejected.
Failing to reject the null hypothesis does not provide sufficient evidence to support the researcher's hypothesis and there is always a possibility of making a Type I error when conducting hypothesis tests.
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A number is equal to the difference of four times the number and 18
Answer:
X = 4x-18
Step-by-step explanation:
X = “a number”^^
plss help me bro :((
Answer:
8√6 is equivalent to 4√8 × √3
Step-by-step explanation:
Simplify the radical
Hope this helps!!
A pond in the shape of a right-angled triangle is shown below. Calculate the perimeter of the pond. Give your answer in metres to 1 d.p. 1.46 m 100 73°
The perimeter of the pond is 2.92 meters.
What s a right-angle triangle:
A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.
The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.
The perimeter of a right-angled triangle is the sum of the lengths of its three sides.
Here we have
The Hypotenuse of the triangle is 1.46 m
The angle between hypotenuse and perpendicular height = 73°
From triagonometric ratios,
=> cos A = Perpendicular height/ Hypotenuse.
=> cos (73) = Perpendicular height/1.46
=> Perpendicular height = 1.46 × 0.29 = 0.42 m
As we know from Pythagoras' theorem,
Hypotenuse² = side² + side²
Side = √Hypotenuse² - side²
= √[(1.46)²- (0.42)²] = 1.04
Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04
Hence, perimeter of the pond = 1.46 + 0.42 + 1.04 = 2.92 meters
Therefore,
The perimeter of the pond is 2.92 meters.
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