Answer:
The product of 5 and the sum of 3 and 1 is 20
Step-by-step explanation:
Equation:
5*(3+x)=20
15+5x=20
5x=5
x=1
What is the quadrant axis of 6 8?
The I quadrant will contain the point (6, 8). The number is in the I quadrant as a result.
What is Quadrant?
A quadrant is any one of the four divisions of the coordinate plane. Additionally, we refer to the sections as they are divided by the coordinate axes when we talk about the sections. The y-axis is situated on this up-down axis, and the x-axis is situated here. As you can see, it divides the coordinate space into four parts.
A point can be mathematically expressed as:
A(x, y )
The intersection of the coordinate axes divides the cartesian plane into four quadrants (x and y-axis).
(x, y )
In the first quadrant, the x and y coordinates are both positive.
(x, y)
Y is positive while x is negative in the second quadrant.
(-x, y)
The point will be located in the third quadrant if both x and y are equally negative.
(-x, -y)
The point will be located in the fourth quadrant if both x and y are positive.
(x, -y)
pointed out; A(6, 8)
The y-coordinate in the highlighted position is positive at (8), while the x-coordinate is negative at (6).
Remember that if the x-coordinate is negative and the y-coordinate is positive, the point is in the I quadrant.
As a result, the provided point (6, 8) is said to be in the I quadrant.
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if the diagonals of a parallelogram bisect each other then it must be a rhombus
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
What is rhombus?Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram.A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square.To comprehend the relationship between the rhombus shape, parallelogram, and square, look at the graphic below.
All parallelograms are parallelograms, however not all parallelograms are rhombuses or rhombi.All squares are rhombuses, but not all rhombuses are squares.There are three additional names for a rhombus:
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Twenty members of a health club who jog were asked how many miles they jog per week. The responses are to the right. Construct a stem-and-leaf display. For single digit data, use a stem of 0. 14 26 8 14 14 22 26 25 4 34 44 34 6 18 24 17 11 6 19 17
The steam-leaf display is shown as follows
How do stem and leaf displays work?A stem and leaf plot resembles a bar graph in appearance. The term stems from the fact that each number in the data is divided into a stem and a leaf. The number's final digit is not part of the stem. The number's leaf will always be one digit.
What are the advantages of stem and leaf display?Pencil and paper can be used to quickly create the plot. The plot can be used to determine the values of each individual data point. Since the stem is not repeated across multiple data points, the data is organized compactly.
The stem-and-leaf display for the given data is shown below followed by a detailed explanation.
0|358
1|25179476
2|73823
3|44
4|0
Note that it is often customary to organize the "leaf" values from lowest to highest as follows:
0|3578
1|12456779
2|23378
3|44
4|0
Each row's initial number is referred to as the stem, and the group of numbers that come after it as the leaves. The tenth position of the numerals is indicated by the stem. Therefore, a stem of 0 indicates a single-digit number, a stem of 1 indicates a number between 10 and 19, and so on. The leaves identify the numerals' unit position. If the number is 28, for instance, the stem and leaf are each two.
The data for stem 0 contains four one-digit numbers, which are 3, 5, 8 and 7 in appearance order. Therefore, the stem 0's leaves are 3, 5, 8, and 7.
Eight values between 10 and 19 may be found in the data for stem 1, and they are 12, 15, 11, 17, 19, 14, and 16 in that sequence. Therefore, 2, 5, 1, 7, 9, 4, and 6 make up the stem 1's leaves.
Five values between 20 and 29 may be found in the data for stem 2, and they are 27, 23, 28, 22, and 23 in that sequence. As a result, the stem 2's leaves are 7, 3, 8, and 3.
For stem 3, the data contain two integers between 30 and 39 that, in the order of appearance, are 34 and 34. The leaves for the stem 3 are therefore formed by 4 and 4.
For stem 4, the data only contains the number 40, which falls within the range of 40 to 49. Consequently, 4 creates the leaf for stem 2.
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The graph of F is shown below evaluate each integral by interpreting it in terms of area
The answer to this question is after solving definite integration 0,1,-4,-10
What is Definite integration?
It is just basically Simple Integration with limits. In other words it is completely same as area under curve
Solution:
We will proceed by finding area under curve
Here we have to consider the area above x axis as positive and area under x axis as negative area
In First part +ve area and -ve area cancels each other hence answer is 0
In second part after cancellation only 1 square block above x axis remains whose area is 1 hence answer is 1
remaining 2 parts graph is completely below x axis hene area is negative therefore definite integeration will be negative
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A box is 36 inches long,18 inches wide, and 6 inches deep. How many
cubic feet are in the box?
A 2.25 cubic feet
B) 4.5 cubic feet
C) 5 cubic feet
D) 3 cubic feet
Answer:
A
Step-by-step explanation:
The volume in cubic inches is [tex](36)(18)(6)=3888[/tex].
This is equal to [tex]3888/12^3=2.25[/tex] cubic feet.
Write the function for the graph of
g(x)
g(x)=[2x]
g(x)= [x]+2
g(x)= [x-2]
g(x)=[x]-2
The function of the graph is g(x) = [x]+2
What is linear function?A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
definition of terms
y = output variable
x = input variable
m = slope
c = y intercept
The c from the graph is +2
m for points (1, 3) and (-3, -1)
= (-1 - 3) / (-3 - 1)
= -4/-4
= 1
substituting to the equation y = mx + c
y = x + 2
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GREETINGS NEED HELP ASAP!
Think about wether the diagram shown represents a function. then use the drop down menus to complete the statement about the diagram.
This_____represent a function because the_____ has two different _____
choices for first blank- does or does not
choices for second- x value 7, 11, -5, 2
choices for third- x values or y values
It is not a function because it has one-to-many function when it also has one-to-one and many-to-one.
Given that,
In the picture we have a diagram
We have to find if the diagram is a function or not.
We know that,
What is a function?Mathematical calculus' core component is functions. The unique types of relationships are the functions. When it comes to math, a function is represented as a rule that produces a different result for each input x.
Function is satisfy one-to-one and many-to-one.
So,
In the picture we can see
Input -2 to output 7 it is one-to-one
Input 7 to output 8 and 2 it is one-to-many
Input 11 and 2 1/3 to output 5 it is many-to-one
Therefore, It is not a function because it has one-to-many function when it also has one-to-one and many-to-one.
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what is the center of a circle whose equation is x2 y2 12x 2y 12 0
The center is (6, 1) of the given circle with the equation x²+y²-12x-2y+12=0.
What are circles?Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve.
A circle is a closed shape that can be created by following a moving point in a plane while maintaining a constant distance from another point.
The Greek word kirks, which means hoop or ring, is whence the word circle gets its form.
So, we have the equation: x²+y²-12x-2y+12=0
Compared to the circle's basic equation:
2 + y² + 2gx + 2fy + c = 0
2g = -12, 2f = -2, c = 12
g = -6, f = -1
Centre = (-g, -f)= (6, 1)
Now, fill in the square:
x² - 12x + 36 + y² - 2y + 1 = -12 + 36 + 1
(x - 6)² + (y - 1)² = 25
(x - 6)² + (y -1)² = 52
When compared to the equation for a circle with the centers at (h, k) and radius "r," Centre = (h, k) = (6,1).
Therefore, the center is (6, 1) of the given circle with the equation x²+y²-12x-2y+12=0.
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Correct question:
What is the center of a circle whose equation is x²+y²-12x-2y+12=0?
Answer:
6,1
Step-by-step explanation:
trust me
In a clothing store, a shirt that sells for $15 is marked “10% off.” What is the discount? What is the sale price of the shirt?
Answer:
$13.50
Step-by-step explanation:
If the shirt is 10% off, that means the shirt is 90% of the original cost, which is $15.
If the shirt is 90% of the original cost which is 15, that means that we must turn the percentage into a decimal (0.9) and multiply it by 15.
0.9*15 = 13.5
The sale price of the shirt is $13.50
PLSSSSSSS HELPPPPPPPPP
Answer:
undefined
Step-by-step explanation:
since all the x are zero it’s undefined and when all y is zero it’s 0
Hopes this helps please mark brainliest
27.5 percent of what is 13.75
Answer:
50Step-by-step explanation:
27.5 percent of what is 13.75
13.75 : 27.5 * 100 =
(13.75 * 100) : 27.5 =
1375 : 27.5 = 50
How do you find the missing side of a congruent triangle?
Triangles that are exactly the same in size and shape are said to be congruent. Two triangles are said to be congruent when their corresponding sides and angles are also congruent.
What is Traingle?
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Using the Triangle Sum Theorem, we can determine the third angle in a triangle when only two angles are known.
The two angles' combined angles are subtracted from 180 degrees.
The diagram needs a third angle. Try to match the angles and sides of two triangles with the provided information if the congruence statement is not provided in the problem.
List the corresponding vertices in the same order once the vertices of the two triangles have been matched. The congruence assertion reads as follows if vertex A relates to vertex D, vertex B to E, and vertex C to F:
△ABC≅△DEF
Congruent triangles are two triangles that are the same size and shape. Two congruent triangles are still congruent even if we flip, spin, or otherwise alter one of them.
Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.
These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.
Likely, these two triangles are congruent if we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle.
When two angles and a non-included side in a triangle are congruent to one another, this is the final scenario that results in congruent triangles.
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What property describes the number sentence of 6 0 6?
The property that defines the number sentence 6 + 0 = 6 is Additive Identity Property.
Given,
6 + 0 = 6
We have to find the property that defines the number sentence;
Additive Identity Property;
Additive identity property says that if zero is added to any real number, the resultant would be the same real number.
Here,
6 + 0 = 6
In this instance, we have added 0 to a real number (6) and have received back the same real number (6).
That is,
Additive Identity Property is the property that defines the number sentence 6 + 0 = 6
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What are the 2 characteristics of a regular polygon?
Any polygon that is equilateral and equiangular is a regular polygon. In other words, the sides or edges and interior angles of a regular polygon are both congruent.
Given that,
We have to find what are the 2 characteristics of a regular polygon.
We know that,
What are the characters of a regular polygon?Any polygon that is equilateral and equiangular is a regular polygon. In other words, the sides or edges and interior angles of a regular polygon are both congruent.
Regular triangles and quadrilaterals are given unique names, such as squares and equilateral triangles.
Therefore, Any polygon that is equilateral and equiangular is a regular polygon. In other words, the sides or edges and interior angles of a regular polygon are both congruent.
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Identify the recursive formula for the sequence 900, 850, 800, 750,...
C (3rd Answer)
1st term is 900 and as n increases (number of terms increase), each time it goes down by 50 if n is greater than 1.
Represent the following statement on a number line: I have anywhere from $5 to $8 in my pocket.
The statement "I have anywhere from $5 to $8 in my pocket." has been represented on the number line shown in the image attached below.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
Translating the statement, we have the following inequality:
Let the variable x represent the amount of money in pocket.
From $5 to $8 in my pocket = 5 ≤ x ≤ 8.
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What is the value of t??
1.4t - 0.4 ( t - 3.1 ) = 5.8
Please explain step by step on how I could get this answer!
1.4t - 0.4(t-3.1)=5.8
Combine terms in paratheses
1.4t - 0.4t + 1.24 = 5.8
Combine t's
(1)t + 1.24 = 5.8
Subtract 1.24 over
t = 4.545. Julia is playing a computer game. To enter a new quest she has
to pay a "tax" of 2.5 points, but she expects to gain 75 points.
For each quest, how many points can she gain overall?
The number of points gained overall by Julia playing the game is 30 point
How to determine the number of points gained overall?From the question, we have the following parameters that can be used in our computation:
Tax paid for a new quest = 2.5 points
Total points gained playing the game = 75 points
The above parameters can be represented as
The number of points gained overall = Total points gained playing the game/Tax paid for a new quest
Substitute the known values in the above equation, so, we have the following representation
The number of points gained overall = 75/2.5
Express as a correct fraction
So, we have the following representation
The number of points gained overall = 750/25
Evaluate the quotients
So, we have the following representation
The number of points gained overall = 30
Hence, the number of points gained overall =is30
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4. If there were
10,164 total votes, how many yes votes were there?
Answer:
There are 6468 yes votes
Step-by-step explanation:
10164÷(7+4)×7
=10164÷11×7
=924×7
=6468
For each function, select whether it’s inverse is a function or not a function. refer to the attached picture.
Function
y=x⁴
y=x⁹
y=x⁸
y=x¹¹
The inverses of the functions y= x⁹ and y= x¹¹ are functions.
The inverses of the functions y = x⁴ and y= x⁸ are not functions.
How is the functionality of the given functions determined?(a )Consider ,the inverse of the function is a function
(2 ) y= x⁹
The inverse of the function is given by,
x = [tex]\sqrt[9]{y}[/tex]
Here y is an element of the real numbers.
i.e. y ∈R
So, this is a function.
(4) y= x¹¹
The inverse of the function is given by,
x = [tex]\sqrt[11]{y}[/tex]
Here y is an element of the real numbers.
i.e. y ∈R
Similarly , this is a function.
(b ) Consider ,the inverse of the function is a not a function
(1 )y = x⁴
The inverse of the function is given by,
x = [tex]\sqrt[4]{y}[/tex] (y ≥0)
It is of one- one correspondence,
when y = 4 ,
x = ±√2
Thus, it is not a function.
(3) y= x⁸
The inverse of the function is given by,
x = [tex]\sqrt[8]{y}[/tex]
Likewise , this is not a function.
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What is 6\9 reritten.
Answer:
Simplied:
2/3
Step-by-step explanation:
So basically so look at the factors and find that 6 and 9 both divided by 3 so 6/3=2 and 9/3=3
so 2/3
But if you are looking for equivalent:
8/12
6/9= 0.66 repeating which is 60/90 (I think)
HOPE THIS HELPS!!
Pedro vive cerca del bosque, el terreno de su propiedad ocupa 15 metros en total, su casa ocupa sólo 6 metros, tiene un huerto el cual ocupa 4 metros y el resto es un espacio donde puede disfrutar de la naturaleza ahí encuentra algunas clases de musgos que le dan un aspecto maravilloso al bosque.” ● Representa con fracciones el espacio que ocupa la casa, el espacio que ocupa el huerto y deduce qué fracción representa el resto del terreno, a lado de cada fracción realiza la representación gráfica de cada una, usando las herramientas como tablas o insertar formas en PowerPoint.
El espacio que ocupa la casa sería 6/15, el espacio que ocupa el huerto sería 4/15 y el espacio restante del terreno sería 5/15.
¿Cómo representar las fracciones del terreno?Para representar en forma de fracciones el área de los diferentes espacios del terreno de Pedro debemos tener en cuenta que el total tiene 15 metros. Adicionalmente, cuando representamos una fracción estamos informando cuántas unidades de un número x de unidades estamos utilizando. Por ejemplo, en este caso del total (15 metros) del terreno que tiene Pedro, él esta utilizando 6 metros para su casa. Esta fracción se representaría así:
6 / 15
Por otra parte, la fracción para representar el área del huerto de Pedro debe seguir los mismos lineamientos que la anterior, es decir en el numerador (número de la parte de arriba) ponemos el número de unidades que utilizamos y en el denominador (número de la parte de abajo) ponemos el número total de unidades disponibles. Entonces la fracción del huerto sería:
4 / 15
Por ultimo, para saber cuántas unidades quedan disponibles del terreno de Pedro, debemos restarle al total de terreno la cantidad de espacio que usamos:
15 - 4 - 6 = 5
De acuerdo con lo anterior, el espacio disponible serían 5 metros, que expresado en fraccionarios sería:
5 / 15
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An audio cable is 14.1 dm long. How long is the cable in meters?
Answer: 1.41 meters
Step-by-step explanation:
14.1 decimeters to meters
Decimeters are 10 times smaller than meters, so you divide the value by 10 to get meters
14.1/10 = 1.41
1.41 meters
How do you find the equidistant point of a triangle?
The equidistant point of the triangle is point O , which is shown below.
In the question ,
we have to find the equidistant point in the triangle ,
We know that the equidistant point from the vertices of the triangle is the circumcenter ,
let the circumcenter be point O .
The perpendicular bisectors of the given triangle ABC are AC and BC that intersect at point O .
We have to prove that point O lies on the perpendicular bisector of AB and it is equidistant from A , B and C .
So ,we draw OA ,OB and OC .
we know that any point on perpendicular bisector of a segment is equidistant from endpoints of the segment.
that means , OA = OC and OC = OB .
which means OA = OB .
we also know that any point that is equidistant from end points of a segment lies on its perpendicular bisector.
So, we can say that point O is on the perpendicular bisector of AB .
and
Since OA = OB = OC , the point O is equidistant from A , B and C .
Therefore , the equidistant point of the triangle is the circumcenter (point O) .
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What is the volume of the following rectangular prism? 4/3units 23/4units2 Volume ==equals units^3 3 cubed
The volume of the rectangular prism with length of 5 units, width of 4 units and height of 3 units is 60 unit³
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
Volume is the amount of space occupied by a three dimensional side or object.
Let us assume that the rectangle prism have length of 5 units, width of 4 units and height of 3 units. Hence:
Volume of prism = length * width * height
Volume = 5 units * 4 units * 3 units = 60 unit³
The volume is 60 unit³
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The cost of a cheese pizza is $11.99 plus $0.45 for each additional topping, t. Write an inequality that can be used to represent the cost of a pizza that is at most $16. What is the most number of toppings that a pizza can have and still be at most $16?
Answer: 11.99 + 0.45t ≤ 16 The most toppings you can have is 8
Step-by-step explanation:
11.99 + 0.45 is a basic cheese pizza plus one topping
11.99 + 0.45t represents a pizza plus an undefined amount of toppings
11.99 + 0.45t ≤ 16 The cost of the pizza has to be 16$ or less
Subtract 11.99 from each side
0.45t ≤ 4.01
Divide both sides by 0.45
t ≤ 8.9111
You can't have a partial number of toppings, and 9 is too much, so we round down to 8.
Functions are in the world all around us. You have used functions to model phenomena and to make predictions. Mathematically, you can add, subtract, multiply, and divide functions, and you can also create a composition of functions.
A composition of functions occurs when you evaluate one function using another function, or even with the same function. A composition of functions is useful when a change in one function will create a change in another function, which, in turn, affects a third function. For example, suppose that humans build a housing development on land that was previously used as a corn field. This change in land usage causes the number of birds in the area to decrease, which causes the number of mosquitos to increase. You could model the increase in the number of mosquitoes as a function of the number of birds in the area, which is a function of the number of humans that live on that land.
You can also use the composition of functions to show that one function is the inverse of another function. Recall that the graphs of inverse functions are reflections of each other over the line. Think about these ideas as you read through the scenario below.
Last night it started raining as Hiba was closing up the store where she works. By 3 am, the roof of the store developed a small hole and water began to leak onto the sales floor. The water created a circular puddle on the floor. At any time, t, in minutes, the radius of the puddle increases by 0.1 cm. The rain continued through the night, but stopped by the time the morning shift arrived at the store at 7 am.
When the employees arrived at work, the leak and water puddle were discovered. The employees cleaned up the water puddle and placed a tall circular bucket underneath the leak, which was still slowly dripping. The capacity of the bucket can be expressed as. By 10 am, the amount of water in the bucket is.
Function composition is only one way to combine existing functions. Another way is to carry out the usual algebraic operations on functions, such as addition, subtraction, multiplication and division.
What is composition function ?The procedure known as "function composition" in mathematics takes two functions, f and g, and creates a function, h = g f, such that h(x) = g(f(x)). The combination of two functions to create a third function is known as function composition. Simply using the first function's output as the input for the second function is how it works.The function g is applied in this operation on the outcome of applying the function f to x. In other words, a function that maps x in domain X to g(f(x)) in codomain Z is produced by composing the functions f: X Y and g: Y Z. It makes sense that z would be a function of x if z were a function of y and y was a function of x. The resulting composite function is designated as (g f )(x) = g(f(x)) for all x in X, and is written as g f: X Z. [nb 1]Find the attachment of answer
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The box-and-whisker plots below (sometimes called boxplots) summarize the noon temperatures for each city.
Use the box-and-whisker plots to answer the questions.
Comparing the box-and-whisker plots for both data of each city, we have:
a. City B had more noon temperatures above 76°F
b. Both had the same interquartile range.
c. City B had a larger median noon temperature
d. City A had the largest noon temperature.
How to Analyze a Box-and-whisker Plot?The box-and-whisker plot has the following values it displays about a data distribution:
Minimum value: This is the value at the beginning of the left whisker.Lower quartile (Q1): This is indicated by the beginning of the edge of the box, 25% of the data are below this point.Median value: the line that divides the box is the median value which is 50% of the data.Upper quartile (Q3): This is indicated by the end of the edge of the box, 75% of the data are below this point.Maximum value: This is the largest data point and is located at the end of the right whisker.Interquartile range = Q3 - Q1
Analyzing the box-and-whisker plots given above, we have the following to conclude:
a. City B had more noon temperatures above 76°F because about more than 50% of the data are above 76°F.
b. Interquartile range for City A = Q3 - Q1 = 75 - 68 = 7
Interquartile range for City B = Q3 - Q1 = 80 - 73 = 7
Both had the same interquartile range.
c. Median for City A = 70
Median for City B = 78
City B had a larger median noon temperature
d. City A had the largest noon temperature of 85.
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What is a graph answer?
Answer:
In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
Hope this helps!
What is the length of 1 ton AC?
The length of 1 on AC is 54.6 cm.
Given:
Let x be the length
we know that,
AC dimensions = 54.6 * 175.7 * 85.6 cm
It is the volume = l * b * h
Volume :
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Length :
Length is defined as the measurement or extent of something from end to end.
Breadth :
The breadth of something is the distance between its two sides.
On comparing both
Length l = 54.6 cm
Breadth b = 175.7 cm
Height h = 85.6 cm
Therefore the length of 1 on AC is 54.6 cm.
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