Answer: The total cost will be equal to $2839.16. The expression to calculate the total cost is 119.92(m)+81=C(t).
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a person buys a phone for $81 and signs up for a single-line phone plan with 2000 monthly anytime minutes. The plan costs $119.92 per month.
The expression will be formed as below:-
119.92(m)+81=C(t)
119.92(23)+81=C(t)
2839.16=C(t)
Therefore, the total cost will be equal to $2839.16.
Task 8: Solving for Systems of Linear Equations: Determining "intersection" point.
By successfully writing equations to define each red line, you are now to solve for where those
lines might meet on your coordinate grid.
•
●
●
Select two lines, preferably two that cross on your blueprint, and use the substitution
method to solve for their intersection point.
Mark each intersection point using a YELLOW POINT on your blueprint.
Repeat this for a total of three intersecting lines.
Example problem:
Y = -2X + 14 and Y = 3X-7
Intersection point = (4.2, 5.6)
-2X+14=3X-7
-2X=3X-21
5X=-21
X = 4.2
Y = -2(4.2) + 14
Y = -8.4 + 14
Y = 5.6
Marking the intersection points on the blueprint with yellow points:
Intersection point of Equations 1 and 2: (7, 0)Intersection point of Equations 1 and 3: (11.2, -8.4)Intersection point of Equations 2 and 3: (3.6, 3.8)How to determine intersection point?To solve for the intersection points of three lines.
Equation 1: Y = -2X + 14
Equation 2: Y = 3X - 7
Equation 3: Y = 0.5X + 2
To find the intersection point of Equations 1 and 2, use the substitution method.
Substituting Equation 1 into Equation 2:
-2X + 14 = 3X - 7
Adding 2X and subtracting 14 from both sides:
-2X + 2X + 14 = 3X + 2X - 7 - 14
14 = 5X - 21
Adding 21 to both sides:
14 + 21 = 5X
35 = 5X
Dividing both sides by 5:
X = 7
Now substitute X = 7 back into Equation 1 to find the corresponding Y value:
Y = -2(7) + 14
Y = -14 + 14
Y = 0
Therefore, the intersection point of Equations 1 and 2 is (7, 0).
To find the intersection point of Equations 1 and 3, use the same substitution method.
Substituting Equation 1 into Equation 3:
-2X + 14 = 0.5X + 2
Adding 2X and subtracting 14 from both sides:
-2X + 2X + 14 = 0.5X + 2X - 14
14 = 2.5X - 14
Adding 14 to both sides:
14 + 14 = 2.5X
28 = 2.5X
Dividing both sides by 2.5:
X = 11.2
Now substitute X = 11.2 back into Equation 1 to find the corresponding Y value:
Y = -2(11.2) + 14
Y = -22.4 + 14
Y = -8.4
Therefore, the intersection point of Equations 1 and 3 is (11.2, -8.4).
To find the intersection point of Equations 2 and 3, substituting Equation 2 into Equation 3:
3X - 7 = 0.5X + 2
Subtracting 0.5X and adding 7 to both sides:
3X - 0.5X = 0.5X + 2 + 7
2.5X = 9
Dividing both sides by 2.5:
X = 3.6
Now substitute X = 3.6 back into Equation 2 to find the corresponding Y value:
Y = 3(3.6) - 7
Y = 10.8 - 7
Y = 3.8
Therefore, the intersection point of Equations 2 and 3 is (3.6, 3.8).
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Hannah has two ribbons. One is 1 3/4 feet. The second ribbon is 3 feet long . How many inches of ribbon does Hannah have
The length of ribbon that Hannah has is 57 inches.
What is the length of the ribbon?The length of the ribbon that Hannah has can be determined by adding the length of each ribbon together. Addition is the process of determining the sum of two or more numbers.
Before the addition can be done, feet has to be converted to inches.
1 foot = 12 inches
1 3/4 x 12
= 7/4 x 12 = 21 inches
3 x 12 = 36 inches
Total length of the ribbons = 21 + 36 =57 inches
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What is the circumference of a circular amphitheater with a diameter of 300 meters?
Answer:
942.48 meters
Step-by-step explanation:
The circumference of a circle can be calculated using the formula:
Circumference = π * Diameter
where π (pi) is a mathematical constant approximately equal to 3.14159.
Given a diameter of 300 meters, we can calculate the circumference as follows:
Circumference = 3.14159 * 300
Circumference ≈ 942.48 meters
Therefore, the circumference of a circular amphitheater with a diameter of 300 meters is approximately 942.48 meters.
Brainliest for the correct answer who put in the answer first. please help me.
Answer: {m∠HLI = m∠ILM}
Examining the figure the option that must be true is
D. m< HLI = m< ILM
How to get the correct optionThe knowledge of angle on a straight line which is 180 degrees is used here,
Using the given angles and the concept of adjacent angles we have that
angle GLH = 150 - 60 = 60
Using angles on a straight line being 180 degrees we have that
angle ILJ = 180 - 60 - 60 - 30 - 15 = 15 degrees
Using adjacent angles
angle ILM = 15 + 15 = 30 degrees
hence we can say that m< HLI = m< ILM
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geometry help please
Use the parabola tool to graph the quadratic function f(x)=3x^2+6x-24
Answer:(-4,0) (2,0)
Step-by-step explanation:
the points will be (-4,0) & (2,0) while the parabola is concave up
DIRECTIONS: Find the area of the shaded region.
Determine the intercepts of the line.
�
yy-intercept:
(
(left parenthesis
,
,comma
)
)right parenthesis
�
xx-intercept:
(
(left parenthesis
,
,comma
)
)right parenthesis
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative ten, zero and zero, negative forty-five.
The x-intercept of the given line is (-10, 0). The y-intercept is determined as (0, -45).
What is the Y-intercept and the X-intercept of a Line?The y-intercept is the point at which the line crosses the y-axis. Geometrically, it speaks to the esteem of the subordinate variable (as a rule signified as y) when the autonomous variable (more often than not indicated as x) is rise to to zero.
On the other hand, the value of x when y is equal to zero, is referred to as the x-intercept of the line.
The x-intercept of the line shown in the image above is (-10, 0), while the y-intercept is (0, -45).
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4. A garden is being planted by the side of a house using one of the sides as one edge of
the rectangular garden. There will be exactly 150 feet of fencing used to close in the
fence on the remaining 3 sides.
Here is a sketch of the garden:
house
5
a. Complete the table by giving the width and area for each length. (The length is
the side perpendicular to the house.)
Length (0)
width (w)
15
length (0)
25
width (w)
Area (square feet)
b. Write an equation to represent w, the width of the garden in feet, as a function of
I, the length in feet.
c. Write an equation to represent A, the area in square feet, as a function of the
length in feet.
Answer:
Step-by-step explanation:
hoop 132
A dairy needs 372 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 372 gallons?
Zuri wanted to put new carpet in her bedroom. Her bedroom is the shape of a rectangle and measures 12 feet by 12 feet. The carpet she likes costs $4.00 per square foot.
Determine the cost of the carpet and then answer these two questions below:
1. Explain how you figured out the cost of the carpet.
2. What is the cost of the carpet?
Step-by-step explanation:
Area = 12 ft x 12 ft = 144 ft^2
Cost = 144 ft^2 * $ 4/ ft^2 = $ 576
What is a the center and radius
Pls help!!!!!!!!!!!!!!!!
The radical expression [tex]\sqrt[4]{x^5}[/tex] written as an expression with a rational exponent include the following: A. [tex]\sqrt{x^{\frac{5}{4} }}[/tex]
What is an exponent?In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an algebraic equation or expression, in order to raise a given quantity to the power of another.
Mathematically, an exponent can be represented or modeled by this mathematical expression;
bⁿ
Where:
the variables b and n are numbers (numerical values), letters, or an algebraic expression.n is known as a superscript or power.By applying the law of exponents for powers to the given radical expression [tex]\sqrt[4]{x^5}[/tex], we would have the following simplified expression:
[tex]\sqrt[4]{x^5}=\sqrt{x^{5 \times \frac{1}{4}}}\\\\\sqrt{x^{5 \times \frac{1}{4} }}}=\sqrt{x^{\frac{5}{4} }}}[/tex]
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A marketing manager for a cell phone company claims that less than 58% of children aged 8-12 have cell phones. In a survey of 822 children aged 8-12 by a national consumers group, 460 of them had cell phones. Can you conclude that the manager's claim is true? Use the α=0.10level of significance and the critical value method with the table.
Answer:
We want to test the null hypothesis that the proportion of children aged 8-12 who have cell phones is 0.58, against the alternative hypothesis that the proportion is less than 0.58.
The sample proportion is:
p = 460/822 = 0.559
The sample size is n = 822.
Under the null hypothesis, the test statistic follows a standard normal distribution. The test statistic is:
z = (p - P0)/sqrt(P0(1 - P0)/n)
where P0 is the hypothesized proportion under the null hypothesis.
Substituting the values we obtained, we get:
z = (0.559 - 0.58)/sqrt(0.58(1 - 0.58)/822) = -1.691
The critical value for a one-tailed test with a significance level of 0.10 and 821 degrees of freedom is -1.282. Since the test statistic (-1.691) is less than the critical value (-1.282), we reject the null hypothesis.
Therefore, we can conclude that there is sufficient evidence to support the claim that less than 58% of children aged 8-12 have cell phones.
Hope that is what you are looking for :).
What is the y -intercept of y=-5x
Thank you for the help
The y-intercept of the line [tex]y = -5x \ is \ 0[/tex].
The equation of a line in slope-intercept form is given by [tex]$y = mx + b$[/tex], where [tex]$m$[/tex] represents the slope and [tex]$b$[/tex] represents the y-intercept. In the equation [tex]$y = -5x$[/tex], the coefficient of [tex]x \ \ is \ -5[/tex], which represents the slope of the line.
To find the y-intercept, we set [tex]$x$[/tex] equal to [tex]$0$[/tex] and solve for [tex]$y$[/tex]. Substituting [tex]$x = 0$[/tex] into the equation gives us [tex]$y = -5(0) = 0$[/tex].
Hence, the y-intercept of the line [tex]y = -5x \ is \ 0[/tex]. In the graph, the line passes through the origin [tex]$(0,0)$[/tex], indicating that it intersects the y-axis at [tex]$y = 0$[/tex]. This means the line passes through the point [tex]$(0, 0)$[/tex] on the coordinate plane. The y-intercept is the point at which the line crosses the y-axis.
The y-intercept is a crucial point on a line as it helps determine its starting position on the y-axis. In the graph, you can visually observe that the line passes through the origin, confirming the y-intercept of [tex]$0$[/tex].
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State a research question, null hypothesis, and alternate hypothesis for gpa anc Step 2: Write Section 2 of the DAA: Testing Assumptions Test for one of the assumptions of correlation - normality. • Create a descriptive statistics table in statistical software to assess normality. Th include the four variables named above, including skew and kurtosis for each va • Paste the table in the DAA Template. • Interpret the skewness and kurtosis values and determine whether the assumpti normality was violated or not violated. Step
The research question is whether there is a significant relationship between GPA and the four variables, and the assumption of normality is tested by creating a descriptive statistics table with skewness and kurtosis values to determine if the variables follow a normal distribution.
Research question: Is there a significant relationship between GPA and the four variables (variable names not provided)?
Null hypothesis (H0): There is no significant relationship between GPA and the four variables.
Alternative hypothesis (Ha): There is a significant relationship between GPA and the four variables.
Step 2: Testing Assumptions - Normality
Research question: Is the assumption of normality violated for the four variables?
Null hypothesis (H0): The distribution of the four variables follows a normal distribution.
Alternative hypothesis (Ha): The distribution of the four variables does not follow a normal distribution
Next, you are instructed to create a descriptive statistics table in statistical software to assess normality. The table should include the four variables, along with their skewness and kurtosis values. Once you have created the table, you should paste it into the DAA Template.
After pasting the table, you will interpret the skewness and kurtosis values. Skewness measures the symmetry of the distribution, where a skewness value of 0 indicates perfect symmetry.
Positive skewness indicates a right-skewed distribution, while negative skewness indicates a left-skewed distribution. Kurtosis measures the peakedness or flatness of the distribution, with a kurtosis value of 3 indicating a normal distribution.
Positive kurtosis indicates a more peaked distribution (leptokurtic), while negative kurtosis indicates a flatter distribution (platykurtic).
Based on the skewness and kurtosis values, you will determine whether the assumption of normality is violated or not violated for the four variables.
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Fred has a great idea for a new product. However, he can only invest $11,919 to start up the company. He asks a three other
individuals to invest in his company. The other three investors bring the total investment to start the company to $285,763.
What percent of the company does the three other individuals own? Round your answer to the nearest tenth of a percent.
Answer:
He owns about 4.17% or 4% so the others own about 95.83% or 96% but sense it rounds to the nearest tenth your answer would be 95.8%
Step-by-step explanation:
You can figure this out by doing 11,919 divided by 285,763 in order to figure out the percentage of the company he owns and then just do 100 - your answer.
Step-by-step explanation:
First, we need to find out how much money the three other individuals invested in the company. To do that, we'll subtract Fred's investment from the total investment:
Total investment = 285,763
Fred's investment = 11,919
Investment from the three other individuals = Total investment – Fred's investment
Investment from the three other individuals = 285,763 – 11,919
Investment from the three other individuals = 273,844
Now, to calculate the percentage of ownership for the three individuals, we'll divide their combined investment by the total investment and multiply by 100:
Percentage of ownership = (Investment from the three other individuals / Total investment) * 100
Percentage of ownership = (273,844 / 285,763) * 100
Percentage of ownership ≈ 95.8%
So, the three other individuals own approximately 95.8% of the company. Since the question asks to round to the nearest tenth, the answer is 95.8%.
Find the measure of the arc or angle indicated.
The measure of angle m∠XKZ is 218°.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint.
The six types of angles are,
Acute Angles.Obtuse Angles.Right Angles.Straight Angles.Reflex Angles.Full Rotation.To find the measure of angle m∠XKZ, we use the formula below
Formula:
m∠XKZ+m∠XYZ = 180 (Opposite angles of a cyclic quadrilateral are supplementery)From the question,
Given:
m∠XKZ = 6x-7m∠XYZ = 7x-8Substitute these values into equation 1 and solve for x
(6x-7)+(7x-8) = 180°13x-15 = 180°13x = 180+1513x = 193x = 195/13x = 15Hence, m∠XKZ = [(15×15)-7] = 218°
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Complete the table for the given rule.
Rule:
y = x/4
Answer: Given as (x, y) in order from top to bottom: (16, 4); (8, 2); (36, 9)
Step-by-step explanation:
Since we need to solve for x, we will solve this equation for x first.
Given:
y = [tex]\frac{x}{4}[/tex]
Multiply both sides of the equation by 4:
4y = x
Next, for each given y-value, we will substitute into the given rule we transformed and solve.
4y = x
4(4) = 16
4y = x
4(2) = 8
4y = x
4(9) = 36
Answer:
16
8
36
Step-by-step explanation:
move the /4 to H other side and you get y*4=x,
now put the number on the table and multiply by 4 to get X, for each value,
Where could she plot the third point so the hypotenuse of the triangle has a length of 13
The third point so the hypotenuse of the triangle has a length of 13 could be; (-4, 2)
We are given Pythagoras' theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|[tex]AC|^2 = |AB|^2 + |BC|^2[/tex]
we know that 5, 12, 13 is a Pythagorean triple;
[tex]c^2-a^2=b^2[/tex]
[tex]13^2-5^2=b^2[/tex]
[tex]169-25=b^2[/tex]
[tex]144=b^2[/tex]
12=b
The point so the hypotenuse of the triangle has a length of 13 is (-4, 2)
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Za kingdom charges according to this table. how much does Za Kingdom charge for each pizza
The amount that Za Kingdom charges for each pizza is $8.
How to determine the amount charged by Za kingdomTo determine the amount charged by Za Kingdom, we first note that the cost of each pizza plus the delivery fee is $21.
Assuming the basic price to be $8 and the delivery fee of $13, we have the sum of $21. So, for 3 pizzas, we will have 8 times 3 = 24 + 13 = 37
Also, the amount for 10 pizzas will be 8 times 10 = 80 + 13 = 93. So, the price of each pizza is $8.
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Convert 1110100 base 2 to base 10
Step by step explanation
1. Define the term "green party." Conduct research and find one green party. Briefly discuss the party that you found in your research.
2. Conduct an internet search on the National Environmental Education Act on this site: https://www.epa.gov/education. Read through the site. visit all the links. Write a few paragraphs about information you learn from these sections.
3. How do some conditions of urban areas affect the species that live in the area? Give one example.
4. How do societal attitudes of developed countries differ from those of undeveloped countries?
5. How do the global aspect of environmental issues positively or negatively impact local environmental issues?
Also why do all of my question end up getting banned i'm so confused how am i violating any rules??
1. Green Party: Political party prioritizing environmental issues, sustainability, and social justice.
2. The National Environmental Education Act promotes environmental education and awareness.
3. Urban conditions impact species by habitat loss and fragmentation.
4. Developed countries prioritize environmental conservation; undeveloped countries focus on development.
1. A green party is a political party that prioritizes environmental issues, sustainability, and social justice. One example of a green party is the Green Party of Germany (Bündnis 90/Die Grünen).
Founded in 1980, they advocate for renewable energy, climate protection, social equality, and grassroots democracy.
They have been part of coalition governments in Germany and have influenced national and European environmental policies.
2. The National Environmental Education Act is a United States federal law that was enacted in 1990 to promote environmental education and awareness among students and the general public.
The Act established the Office of Environmental Education within the Environmental Protection Agency (EPA) to provide funding for environmental education programs and to develop and disseminate environmental education materials.
3. Urban areas can have various negative impacts on species that live in the area. One example is the loss of natural habitat due to urban development.
When forests or wetlands are cleared to make way for buildings or roads, it disrupts the habitat of many species, leading to population declines and biodiversity loss.
4. Societal attitudes in developed countries often prioritize environmental conservation, sustainability, and environmental regulations.
There is generally greater awareness and concern for issues such as climate change, pollution, and resource depletion. In contrast, societal attitudes in undeveloped countries may vary, with more immediate concerns such as poverty and economic development taking precedence over environmental concerns.
5. The global aspect of environmental issues can have both positive and negative impacts on local environmental issues. Positively, global awareness and collaboration can lead to knowledge sharing, resources, and support for local initiatives.
Negatively, global demands and policies may prioritize economic growth, leading to environmental degradation and challenges for local communities.
Regarding the issue with banned questions, I apologize for any inconvenience caused.
The moderation system is in place to ensure compliance with community guidelines and prevent misuse of the platform. It's possible that certain questions may trigger filters due to sensitive topics, inappropriate content, or excessive repetition.
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I need help with part C. Statistics-based.
10.8
.......................................
Convert 2553 base 10 to base 7
Step By Step explanation
The conversion of 2553 base 10 to base 7 is 10305 base 7.
We are given that;
The value= 2553 base 10
Now,
To convert 2553 base 10 to base 7, we need to divide 2553 by 7 repeatedly and write down the remainders. The final answer will be the remainders read from bottom to top. Here are the steps:
Divide 2553 by 7. The quotient is 364 and the remainder is 5. Write down 5.
Divide 364 by 7. The quotient is 52 and the remainder is 0. Write down 0 below 5.
Divide 52 by 7. The quotient is 7 and the remainder is 3. Write down 3 below 0.
Divide 7 by 7. The quotient is 1 and the remainder is 0. Write down 0 below 3.
Divide 1 by 7. The quotient is 0 and the remainder is 1. Write down 1 below 0.
Therefore, by conversion the answer will be 10305 base 7.
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plss help me for brainleist
[tex]\large \maltese \:{ \underline { \underline{ \pmb{ \sf{SolutioN }}}}} : -[/tex]
we have given ,
∠ A = 60°∠ B = 60°∠ C = ?? ( to be calculated)★ According to Angle sum property of triangle, the sum of interior angles of a triangle is 180°.
➝ ∠ A + ∠ B + ∠ C = 180°
➝ 60° + 60° + ∠ C = 180°
➝ 120° + ∠ C = 180°
➝ ∠ C = 180° - 120°
➝ ∠ C = 60°
Now,
★ Calculating for x :-
↝ ∠ C + x = 180°
↝ 60° + x = 180°
↝ x = 180° - 60°
↝ x = 120°
Hence, The value of x will be 120°.
Answer:
The major of the exterior angle is 120°
Step-by-step explanation:
In given triangle we have to find the value of exterior angle and in interior of the triangle there are two angles 60 degree and second one is also 60 degree and we have to find value of exterior angle which is x.
So, here we apply exterior angle property which is exterior angle is equal to the sum of the two interior opposite angles. Here, there are two opposite interior angles so we have to add these two and we get the value of exterior angle.
Exterior angle property :-
[tex] \implies \sf \angle60 \degree + \angle60 \degree[/tex]
[tex] \implies\angle120 \degree[/tex]
Additional information :-Some important properties :-
Exterior angle property :- An exterior angle of a triangle is equal to the sum of its interior opposite angles.
Angle sum property :- The total measure of the three angles of a triangle is 180°
Can someone please help me with this
[tex]\sqrt{252} ~~ \begin{cases} 252=&2\cdot 2\cdot 3\cdot 3\cdot 7\\ &2^2\cdot 3^2\cdot 7\\ &(2\cdot 3)^2\cdot 7\\ &6^2\cdot 7 \end{cases}\implies \sqrt{6^2\cdot 7}\implies 6\sqrt{7}[/tex]
A company makes chocolate candies in a shape of a solid sphere. Each piece of candy has a diameter of 9 centimeters. If a box contains 10 pieces of candy, how much chocolate does the box contain?
Answer:
10
Step-by-step explanation:
the answer is in the question
Help! How to solve the x on logX=(log27)/(log5)
Thank you!
The solution to the given logarithmic expression is: x = 111.63
How to solve Logarithmic problems?The logarithmic form of expression is written as [tex]log_{a} c = b[/tex]. This is simply a rearrangement of the specific exponential form, aᵇ = c. Thus, we can say that exponential equation could be written as a logarithm.
We want to solve the logarithmic expression given as:
log x = [tex]\frac{log 27}{log 5}[/tex]
log x = [tex]\frac{log 3^3}{log 5}[/tex]
log x = [tex]\frac{3 log 3}{log 5}[/tex]
log x = 2.0478
x = [tex]10^{2.0478}[/tex]
x = 111.63
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The wheel on a car completes 25 revolutions in travels about 35.325 m rounded to the nearest centimeters, what is the diameter of the wheel use 3.14 for pi
The diameter of the wheel is approximately 45 cm.
To find the diameter of the wheel, we need to determine the circumference of the wheel using the number of revolutions and the distance traveled. The formula for the circumference of a wheel is given by:
Circumference = 2πr
where r is the radius of the wheel. Since we need to find the diameter, we can substitute r with d/2, where d is the diameter. The formula becomes:
Circumference = πd
We are given that the wheel completes 25 revolutions and travels about 35.325 meters. The distance traveled in one revolution is equal to the circumference of the wheel. Let's calculate the circumference of the wheel first:
Circumference = 35.325 m / 25 = 1.413 m
Now we can equate this to πd and solve for d:
1.413 = πd
To find the diameter, we divide both sides of the equation by π:
d = 1.413 / π ≈ 0.449 m
Finally, to convert the diameter to centimeters, we multiply by 100:
d ≈ 0.449 m * 100 ≈ 44.9 cm
Rounding this value to the nearest centimeter, the diameter of the wheel is approximately 45 cm.
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