In linear equation , the number of baseball cards Tom has is 434.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
We need to find the amount of cards Tom has.
The number of cards Tom has is 434.
Let the number of baseball cards Tom has be X .
Neil has 83 more baseball cards than Tom so
X + 83 is the number of baseball cards that Neil has.
The number of baseball cards Neil has is 517
So,
x + 83 = 517
x = 517 - 83
x = 434
Hence, the number of baseball cards Tom has is 434.
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what do you notice about the ratio of the leading coefficients and the equation of the horizontal asymptote?
The ratio of the leading coefficients and the equation of the horizontal asymptote is degree of numerator and denominator is equal.
The term coefficients in math is defined as the coefficient of the term of highest degree in a polynomial.
Here we have given that the ratio of the leading coefficients and the equation of the horizontal asymptote.
The term horizontal asymptote is known as a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.
As we all know that if the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote is equal to the ratio of the leading coefficients.
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Determine the equation of the line in the form y=mx+b that is PARALLEL to each line and passes through the given point.
x=0 passing through (4,5)
The equation of the line that passes through (4, 5) and is parallel to x = 0 is expressed as: x = 4.
What is the Equation of Two Vertical Lines that are Parallel to each other?Two vertical lines that are parallel to each other have a slope that is undefined because it has no y-intercept and the denominator in the slope formula is zero when calculated.
The equation of a vertical line is expressed as x = b, where b is where the line crosses the x-axis.
Given the equation of a line has x = 0, it means it is a vertical line, therefore, its slope is undefined.
Therefore, the line that is parallel to x = 0 will be undefined. Since the line passes through the point (4, 5), the equation of the line will be written by substituting b = 4 into x = b:
x = 4.
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he angles of a triangle haves measures of x°, (2x)°, and (3x)°. What is the value of x?
Responses
60°
30°
40°
50°
x add 2x add 3x equals 6x
6x equals 180 degrees so x equals 180 divdied by 6 which equals 30
x is 30
Homework Help please for Algebra, the math problem is in the picture below
The difference quotient of quadratic equation f(x) = 5 · x² - 5 · x - 6 is equal to r = 10 · x + 5 · h.
How to find the difference quotient of a quadratic equation
Herein we have the quadratic equation f(x) = 5 · x² - 5 · x - 6, from which we must determine the difference quotient, defined below as:
r = [f(x + h) - f(x)] / h
Where:
h - Differencef(x) - Function evaluated at x.f(x + h) - Function evaluated at x + h.First, substitute on each component of numerator of difference quotient:
f(x) = 5 · x² - 5 · x - 6
f(x + h) = 5 · (x + h)² - 5 · (x + h) - 6
f(x + h) = 5 · (x² + 2 · h · x + h²) - 5 · (x + h) - 6
f(x + h) = 5 · x² + (10 · h + 5) · x + (5 · h² - 6)
Second, substitute on difference quotient:
r = [f(x + h) - f(x)] / h
r = [[5 · x² + (10 · h + 5) · x + (5 · h² - 6)] - (5 · x² - 5 · x - 6)] / h
r = (10 · h · x + 5 · h²) / h
r = 10 · x + 5 · h
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triangle def was dilated according to the rule do,one-third(x,y)(one-third x, one-third y) to create similar triangle d'e'f'. on a coordinate plane, (0, 0) is the center of dilation. triangle f d e is dilated to create smaller triangle f prime d prime e prime. triangle f d e has points (negative 9, 3), (negative 9, 9), (negative 6, 6). triangle f prime d prime e prime has points (negative 3, 1), (negative 3, 3), and (negative 2, 2).which statements are true? select three opt
The statements that are true about the triangle f d e and its dilated counterpart f' d' e' are: (1) The center of dilation was (0, 0). (2) The coordinates of f' d' e' are (negative 3, 1), (negative 3, 3), and (negative 2, 2). (3) f' d' e' is a similar triangle to f d e.
The triangle f d e and its dilated counterpart f' d' e' have specific properties that make them similar triangles. The center of dilation for the transformation was (0, 0). This means that the distance from the center of dilation to each point before and after the dilation was the same. The coordinates of triangle f d e were (negative 9, 3), (negative 9, 9), and (negative 6, 6). In order to obtain the coordinates of f' d' e', the dilation rule one-third(x,y) (one-third x, one-third y) was used. This means that the x and y coordinates of each point were divided by three. The result is that the new coordinates of f' d' e' are (negative 3, 1), (negative 3, 3), and (negative 2, 2). These new coordinates demonstrate that the triangle f d e and its dilated counterpart f' d' e' are similar triangles.
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Answer:
A. ∠F corresponds to ∠F'.
C. The distance from point D' to the origin is 1/3 the distance of point D to the origin.
E. △DEF ~△D'E'F'
Step-by-step explanation:
got it right on edge 23
answer please i need it soon
a. Use what you’ve learned in this unit to model the population of Western Lowland Gorillas after 5, 10 and 20 years. Let y equal the population of the gorillas and x represent the number of years since 2022. Show your work.
b. Use the information calculated in Step A to create a table showing the Gorilla population after 5, 10 and 20 years.
c. Explain why the table shows exponential decay. Summarize how scientists can use exponential decay to predict population changes in endangered species. Summarize your answer in 1-2 paragraphs.
Answer:
Step-by-step explanation:
a. To model the population of Western Lowland Gorillas after 5, 10 and 20 years, we can use an exponential decay model. This model assumes that the population of the gorillas is decreasing at a constant rate over time.
Let y equal the population of the gorillas and x represent the number of years since 2022.
The exponential decay model is represented by the equation:
y = a*e^(-rt)
Where a is the initial population, r is the decay rate and t is the number of years.
If we assume that the initial population of gorillas in 2022 is 1000, the decay rate is 0.1, and we can calculate the population of gorillas after 5, 10, and 20 years.
For 5 years after 2022:
y = 1000e^(-0.15) = 810 gorillas
For 10 years after 2022:
y = 1000e^(-0.110) = 648 gorillas
For 20 years after 2022:
y = 1000e^(-0.120) = 404 gorillas
b. Table:
Years Gorilla Population
5 810
10 648
20 404
c. The table shows that the population of gorillas is decreasing over time, which is an example of exponential decay. This decrease is consistent with the exponential decay model which we used. Exponential decay models are often used to predict population changes in endangered species as they assume a constant rate of decrease in population. Scientists can use this model to predict future populations, as well as estimate the rate of population decline. Based on this information, conservation efforts can be better planned, and resources can be allocated more effectively to prevent the extinction of endangered species.
The average of the first 3 weights was 20 pounds. the average of the next twelve was 25 pounds. what was the overall average of the weights
The requried average weight of 15 weights is given as 24 pounds.
What is average?The average of the values is the ratio of the total sum of values to the number of values.
Here,
The average of the first 3 weights was 20 pounds. the average of the next twelve was 25 pounds.
overall average = total weight of 3 + total weight of 12 / [3 + 12]
overall average = 360 / 15 = 24 pounds
Thus, the requried average weight of 15 weights is given as 24 pounds.
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Find the orthogonal projection of y onto u. Y= [8 -24], u=[4 -2] A. [4 -2] B. [16 -8] C. [1 1/2] D. [16 -2]
According to the given vector, the value of the orthogonal projection of y onto u is <16, -8>
Here we have the vector values that is as follows:
Y= [8 -24],
u=[4 -2]
Now, based on the formula of the vector projection is written as,
=> [(y x u) / |u²| ] x u
Now, we have to calculate the value of the vector and it can be obtained by what we need to do is multiply the corresponding coordinates and then add up the results:
=> ⟨8,−24⟩⋅⟨4,−2⟩
=> (8)⋅(4)+(−24)⋅(−2)
When we simplify this one then we get the value as,
=>80.⟨8,−24⟩⋅⟨4,−2⟩
=> (8)⋅(4)+(−24)⋅(−2) = 80.
Similarly, now we have to calculate the value of |u²| is written as,
Here we have the sum of squares of the absolute values of the coordinates is
=> ∣4∣² + ∣−2∣² = 20.
Therefore, the magnitude of the vector is
=> √20 = 2√5
Thus the vector projection is written as,
=> [tex]\frac{8}{2\sqrt{5} }\times < 4,-2 >[/tex]
When we simplify this one then we get the resulting value of projection as <16, -8>
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Consider the following graph. ei e2 es a e3 с b e4 (FIGURE) (a) How many paths are there from a to c? (b) How many trails are there from a to c? (c) How many walks are there from a to c?
All three parts of the given problem regarding trails, paths and walks have been solved below.
A path is defined as a way in which we can traverse the graph such that neither vertices nor the edges are repeated. In the given graph we can see that for going from a to c there are 4 ways that satisfy the condition of a path. A Trail is an open walk in which no edge is repeated but the vertex can be repeated. So, in the given graph we can see that there are 3!(4) ways in which we can go from a to b and then c and 4 paths in which we can go directly from a to c.
The walk is a sequence of vertices and edges of a graph that can be closed if we come to the same point after traversing the graph or open if we go from one point to another. In the given graph since we go from a point to c point the walk is open but the length of edges of the walk is not defined so if we take the no. of edge length to be 4
there can be 44 ways
so,
number of paths from a to c = 4
number of trails from a to c = 4+3!(4)= 28
number of paths from a to c = 4+3!(4)+2!(6)+1!(4)= 44
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Suppose that Boris' blood pressure can be modeled by the following function.
p(t)=85+18 sin (73mt)
Boris' blood pressure increases each time his heart beats, and it decreases as his heart rests in between beats. In this equation, p (t) is the blood pressure in
mmHg (millimeters of mercury), and t is the time in minutes.
Find the following. If necessary, round to the nearest hundredth.
Answer:
Suppose that Boris' blood pressure can be modeled by the following function.
p(t)=85+18 sin (73mt)
Boris' blood pressure increases each time his heart beats, and it decreases as his heart rests in between beats. In this equation, p (t) is the blood pressure in
mmHg (millimeters of mercury), and t is the time in minutes.
Find the following. If necessary, round to the nearest hundredth.
What are the 9 characteristics of system?
The 9 characteristics of system are Inputs, Outputs, Processes, Control, Interface, Storage, Feedback, Boundaries, and Environment.
1. Inputs: This is data received from external sources, such as user input, sensors, or other systems. This data is used to initiate the system's operations and can include commands, parameters, and other information.
2. Outputs: This is the result of the system's operations, such as responding to user input or displaying results. Outputs can be in the form of data, reports, or graphical displays.
3. Processes: This is how data is transformed from inputs into outputs. Processes may involve calculations, sorting, or other operations.
4. Control: This is how the system's operations are managed. It can include scheduling, sequencing, and coordinating processes.
5. Interface: This is how the system interacts with its environment. This includes receiving inputs, producing outputs, and communicating with other systems.
6. Storage: This is where data is stored for later use. This can include databases, files, and other types of storage.
7. Feedback: This is how the system monitors its performance and adjusts accordingly. This can include error checking, logging, and analyzing data.
8. Boundaries: This is how the system's scope is defined. It can include limiting the system's access to certain data or operations.
9. Environment: This is the external conditions in which the system operates. This includes the hardware, software, and other systems the system interacts with.
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A fuel pump at a gasoline station doesn't always dispense the exact amount displayed on the meter. When the meter reads 1.000\text{ L}1.000 L1, point, 000, start text, space, L, end text, the amount of fuel a certain pump dispenses is normally distributed with a mean of 1\text{ L}1 L1, start text, space, L, end text and standard deviation of 0.05\text{ L}0.05 L0, point, 05, start text, space, L, end text. Let XXX represent the amount dispensed in a random trial when the meter reads 1.000\text{ L}1.000 L1, point, 000, start text, space, L, end text. Find P(0.9
On solving the provided question, we can say that by probability the value of P(x > 1.05) is 0.16
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
The value of P(x > 1.05) is 0.16
н = 0.05 standard deviation
α = 1.0000 mean
Ψ = sample reading
z-score
z = x - u/p
z = 1.05 - 1 / 0.05
soz
P(x>1.05) = 0.1587
P(x>1.05) = 0.16
Hence, the value of P(x > 1.05) is 0.16
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_______ monetary conversions.
Monetary conversion is essentially the price measure of one currency against another.
What is a money conversion?A conversion rate is the ratio between two currencies, most commonly used in foreign exchange markets, which designates how much of one currency is needed to exchange for the equivalent value of another currency. Conversion rates fluctuate regularly for all currencies traded in forex markets.
Given here: monetary conversion
Customers exchange their native currency for the currency of the country they are visiting. On the other hand, currency conversions are the process of converting prices to match the customer's native currency.
For example: Suppose you have 40 cents, how many cents would you need to make one dollar!
You can understand this through the following conversion. Since, $1 = 100¢, therefore, we subtract 40 cents from 100 cents. That is 100 cents – 40 cents = 60 cents. Since you already have 40¢, you would need 60¢ more to make it a dollar. This is how we can express 60 cents with different coins.
Hence, Monetary conversion is essentially the price measure of one currency against another.
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a property has a back yard 125 x 150 feet and a side yard of 195 x 25 feet. what is the combined square footage of the side and back yard?
a property has a back yard 125 x 150 feet and a side yard of 195 x 25 feet. then 23625 is the combined square footage of the side and back yard
125*150 and 195*25
total 23625
The area covered with grass, in square feet, is the area of the shape of the yard.
What is the Area of a Yard?
The area of a yard can be calculated by determining the shape of the yard, and using the appropriate area formula of the shape to find the area of the yard.
Image of the yard is missing. However, assuming the yard is a rectangular shape with a dimension of 10 ft by 6 ft, therefore:
The square feet of grass Russell has = area of rectangle = (10)(6) = 60 ft²
In summary, the area covered with grass, in square feeet, is the area of the shape of the yard.
a property has a back yard 125 x 150 feet and a side yard of 195 x 25 feet. then 23625 is the combined square footage of the side and back yard
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Jamal invests money in an account paying a simple interest of 7% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?
Jamal should multiply his current balance by 1.07 to find his total balance in one year.
What should he multiply his current balance by to find his total balance in a year in one step?
Simple interest is a method of calculating the interest on a loan or deposit where the interest is based solely on the principal (original) amount of the loan or deposit.
To find the total balance in one year, Jamal needs to multiply his current balance by (1+ the interest rate).
Since the interest rate is 7%, the interest rate in decimal form is 0.07
Therefore, he needs to multiply his current balance by (1+0.07) = 1.07
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Please Help me out with precal
HELP ASAP! WILL GIVE BRAINLIEST!
Determine the value of x.
Answer:
Step-by-step explanation:
Use tan(x) = opposite side/adjacent side
x = 74, opposite side = 16, adjacent side = x
tan(74) = 16/x
x = 16/tan(74)
tan(74) = 3.4874
16/3.4874 = 4.5879
x = 4.5879
Which is the biggest difference between an installment loan and revolving credit?
a. Installment loans can be either unsecured or secured.
b. Installment loans have a fixed term and monthly payment, revolving credit is a credit line that is paid off and used again.
c. Qualification for revolving credit does not require credit scores and credit reports.
d. Revolving credit is always unsecured.
The biggest difference between an installment loan and revolving credit is that Installment loans have a fixed term and monthly payment, revolving credit is a credit line that is paid off and used again. That is option B.
What is an installment loan?An installment loan is defined as the type of loan an individual obtains from the bank which can be paid back in installments.
Revolving credit is defined as the type of loan that allows the borrower to spend the money they have borrowed, repay it, and borrow again as needed.
Therefore, the difference between an installment loan and revolving credit is that Installment loans have a fixed term and monthly payment, revolving credit is a credit line that is paid off and used again.
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Jan 27, 1:02:50 AM
?
If f(x) = 4x^3+ 1, then what is the remainder when f(x) is divided by - 5?
To obtain the remainder, we just divide the number by another number with its multiples, and we get -19.
What is remainder?The "leftover" amount from a calculation is referred to as the "remainder" in mathematics. When dividing two integers to create an integer quotient, the residual is the integer that is "left over." The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor).The remainder is what is known as this amount. 10 cannot be divided by 3 perfectly, for instance.It might either be higher or lower than the quotient. For instance, the remaining is six when the number seven is divided by 41, leaving five as the quotient.f(x) = 4X x 3 + 1,
f(-5) = 4(-5) x + 1
f(-5) = -20 + 1
f(-5) = -19.
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Which two-dimensional shape is formed if a plane intersects the cylinder shown,
perpendicular to the base?
A) Circle
B) Square
C) Rectangle
D) Ellipse
Two -dimensional shape is formed if a plane intersects the cylinder shown, perpendicular to the base is a rectangle. Hence option C is the correct option.
What is the two-dimensional shape?
Plane figures are two-dimensional figures. Three-dimensional figures are solid shapes.
A cross-section is a shape formed by the intersection of a solid object and a plane. A three-dimensional shape's cross-section is a two-dimensional geometric shape.
Cross-Sectional Shapes
Cross-sections are classified into two types:
* Horizontal cross-sections and
* Vertical cross-sections.
The shape is a circle if the cylinder has a horizontal cross-section. If the plane of the cylinder's base is perpendicular to its base, the shape is a rectangle.
When the plane intersects the cylinder parallel to the base with a variable angle, an oval shape is formed.
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Find the base of a triangle with
height 4cm and area 24cm²
Answer:
Area = 1/2 *base * height
24 = 1/2 * b* 4
24 = 2b
b= 12cm
Can I please get help.
The data that is considered univariate and quantitative is Shoe size, Salary, Years of experience, Height.
What is univariate quantitative data?
Univariate quantitative data refers to a type of data that consists of only one variable and the values of that variable are numerical. This means that the data represents a single measurement or characteristic, and the values can be quantified and compared using mathematical operations. Examples of univariate quantitative data include height, weight, temperature, salary, and years of experience.
Shoe size, Salary, Height, Years of experience are considered univariate and quantitative data.Shoe size is a univariate data because it only has one variable which is the size of the shoe. It is quantitative because the data can be measured in numbers.Salary is a univariate data because it only has one variable which is the amount of money earned. It is quantitative because the data can be measured in numbers.Height is a univariate data because it only has one variable which is the height of an individual. It is quantitative because the data can be measured in numbers.Years of experience is a univariate data because it only has one variable which is the amount of time an individual has worked in their profession. It is quantitative because the data can be measured in numbers.Salary and years of experience, Sports played in high school, Favorite color and age, and Favorite color are not considered univariate and quantitative data. They contain more than one variable and some of the variables are qualitative and cannot be measured in numbers.To learn more about univariate quantitative data refers to:
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An amount of $1,000 is deposited into a bank account that pays 4% annual interest. What would be the bank account balance after 5 years? Use A= P (1 + r/n)nt
The account balance in the bank after 5 years is $1,216.65.
How to solve compound interest questions?An amount of $1,000 is deposited into a bank account that pays 4% annual interest. The amount in the bank account after 5 years can be calculated as follows:
Therefore,
[tex]A = p(1 + \frac{r}{n} )^{nt}[/tex]
where
p = principalr = raten = number of timest = timeTherefore,
p = 1000 dollars
4 = 4 % = 4 / 100 = 0.04
t = 5 years
n = 1
Therefore,
A = 1000(1 + 0.04/1)¹ˣ⁵
A = 1,000(1 + 0.04)⁵
Therefore,
A = $1,216.65
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HELP ASAP FOR BRAINLIEST
Answer:
First brand: 98 gallons
Second brand: 42 gallons
Step-by-step explanation:
x + y = 140
.4x + .9y = .55*140
x=140-y
.4(140-y) + .9y = 77
56 - .4y + .9y = 77
.5y = 21
y = 42
x + 42 = 140
x = 98
QUICK PLEAAASEEEEE HELPPP!
Given the expression: 4x2 + 18x − 10
Part A: What is the greatest common factor? Explain how to find it. (3 points)
Part B: Factor the expression completely. Show all necessary steps. (5 points)
Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)
Answer:
Part A: 8+10 = 18.
Part B: (x -5)(x+0.5)
Step-by-step explanation:
Part A: to find the greatest common factor of the expression, multiply 4 x -10 to get -40. Then, find the factors of -40 which add up to 18. These factors are 8+10. You may need to tweak around with the signs of the numbers.
Part B:you could just put the equation in a graphing calculator or use the quadratic formula. But, re-write the middle with -5 and 0.5, like this: 4x^2-5x+0.5x-10. Then do 4x(x-0.5) + (5x +10). After that, rewrite the equation again like this: (4x-0.5)(5X+10)
Answer:
Part A: the common factor is 2 because it is the most occurring.
Part B: 2(2x-1)(x+5)
Part C:
(2x2x-2)(x+5)
(4x-2)(x+5)
4x+4x5x-2x-2x5
4x1+1+4x5x-2x-10
4x2+20x-2x-10
=4x2+18x-10
researcher wishes to compare the effects of two fertilizers on the yield of soybeans. she has 20 plots of land available for the experiment, and she decides to use a matched pairs design with 10 pairs of plots. to carry out the random assignment for this design, the researcher should
The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.
A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It doesn't use facts or formal computations; instead, it merely includes the subject's ideas and prior experience.
A subjective likelihood varies from person to person and is not based on previous facts or market data. In other words, it is not founded on reality but rather is the result of an individual's opinion.
In the majority of probability theories, quantifiable data is evaluated to ascertain the likelihood of an event occurring. However, subjective probability lacks a formal calculation, is influenced by human ideas, and is not based on quantitative data.
Therefore, The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.
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Match the concept to the correct description. Sample Question content area bottom Part 1 Choose the correct answer below. A. A sample is a list of items in the population. B. A sample is a characteristic of a population. C. A sample is a comprehensive study of every item. D. A sample is the result if a respondent chooses not to answer questions. E. A sample is a subset of a larger collection of items. F. A sample is a complete collection of items desired to be studied.
A sample is a representative sample of the a population which serves as an accurate representation of the whole group.
Sample: Is it a subset?A sample is a group of units chosen to represent all the individuals in the population. Because just a portion of the population was counted, it is only a partial enumeration. To estimate the features for the total population of interest, data from of the meet the expected is used.
What occurs when a sample is too big?Even when they are clinically inconsequential, tiny differences have a tendency to become statistically significant differences in very large samples. Because of this, therapy decisions may be unsuccessful for both researchers and doctors.
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Give me a list of integers
Answer: why is the question?
Step-by-step explanation: also the integer is the whole number whether if its negative or positive number e.g. -12 or 5
Integers = {...,−4, −3, −2, −1, 0, 1, 2, 3, 4, ... }
Negative Integers = { ..., −4, −3, −2, −1 }
Positive Integers = { 1, 2, 3, 4, ... }
hope it helps<3Why is 3 root not a polynomial?
A mathematical expression with coefficients and variables is called a polynomial. The polynomial 3 root is not one because of the non-integer, irrational exponent (the root of 3).
A mathematical expression with coefficients and variables is called a polynomial. A nxn + a (n-1)x(n-1) +... + a 2x2 + a 1x + a 0 can be used to represent the formula, where n is an integer and an I are constants. The polynomial 3 root is not one because of the non-integer, irrational exponent (the root of 3). The polynomial 3(1/2) cannot be one since the exponent (1/2) is not an integer. As a result, 3 root cannot be expressed as a polynomial.
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Find the area of an octagon ABCDEFGH having each side equal to 5 cm,HC=11 cm and AP⊥HC such that AP=4 cm.
The area of the octagon ABCDEFGH is 119 cm².
The figure is attached below for reference.
AP = 4 cm
HC = CD = 11 cm
Area of trapezium ABCH = Area of trapezium GDEF
Now, Area of a trapezium = [tex]\frac{1}{2} (a+b)h[/tex]
Area of trapezium ABCH = Area of trapezium GDEF = [tex]\frac{1}{2} (5+11)4 = 32[/tex] cm².
So, Area of trapezium GDEF = 32 cm².
Area of rectangle MCDG = l x b = 11 x 5 = 55 cm²
Area of the Octagon ABCDEFGH = Area of the two trapeziums + Area of the rectangle
= (2 x 32) + 55 = 119 cm².
Hence, the area of the octagon ABCDEFGH is 119 cm².
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