two numbers have a sum of 30,000 if 7% of the first number is added to 10% of the second, the result is 2,400. find the numbers

To determine whether the mean or the median would be higher, or if they would be about equal, we need more specific information about the case or dataset in question.

The mean and median are statistical measures used to describe different aspects of a dataset.

Mean: The mean is the average value of a dataset and is calculated by summing all the values and dividing by the total number of values. The mean is sensitive to extreme values or outliers since it takes into account every value in the dataset.

Median: The median is the middle value in a sorted dataset. If the dataset has an odd number of values, the median is the middle value itself. If the dataset has an even number of values, the median is the average of the two middle values. The median is less affected by extreme values or outliers since it only depends on the order of values.

Without specific information about the dataset, it is difficult to determine whether the mean or the median would be higher or if they would be about equal. Different datasets can exhibit different characteristics, such as skewed distributions or symmetric distributions, which can influence the relationship between the mean and the median.

In general terms, if the dataset is symmetrical and does not contain extreme values, the mean and the median are likely to be about equal. However, if the dataset is skewed or contains extreme values, the mean may be influenced more by these outliers, potentially making it higher or lower than the median.

To provide a more accurate assessment, please provide additional details about the case or dataset under consideration.

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A spectrometer uses a grating to separate different wavelengths of light and measure their intensity. The angle at which a particular wavelength of light has a bright band depends on the grating spacing and the order of the bright band.

The equation for the angle of a bright band is given by:

nλ = d sinθ

Where n is the order of the bright band, λ is the wavelength of light, d is the grating spacing, and θ is the angle of the bright band.

Given a grating with 12100 lines/cm, we can find the grating spacing by taking the inverse of the number of lines per centimeter:

d = 1 / 12100 = 8.264 × 10^-5 cm

We are asked to find the angle of the first-order bright band for red light with a wavelength of 630.7 nm. Converting the wavelength to centimeters gives:

λ = 630.7 × 10^-9 m = 6.307 × 10^-5 cm

Plugging in the values for the first-order bright band (n = 1), the wavelength, and the grating spacing into the equation for the angle of a bright band gives:

1 × 6.307 × 10^-5 cm = 8.264 × 10^-5 cm × sinθ

Solving for the angle gives:

sinθ = 6.307 × 10^-5 cm / 8.264 × 10^-5 cm = 0.763

θ = sin^-1(0.763) = 49.6°

Therefore, the angle at which red light has the first-order bright band is 49.6°.

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Answer:

1. $104,854

2. $274,854

Step-by-step explanation:

did it on edge and it was correct

Answer:

1. 104,854

2. 274,854

Step-by-step explanation:

i just did the assignment. and it was right.

To find Aliyaah's percentile, we first need to calculate her z-score: $z = \frac{x - \mu}{\sigma} = \frac{46.0 + 0.96(2.7)}{2.7} \approx 2.26$

Using a standard normal distribution table, we can find that the area to the left of $z = 2.26$ is approximately 0.988. This means that Aliyaah's height is at the 98.8th percentile.

To compare Aliyaah's height to Jayne's height, we need to find Jayne's z-score. We can use the standard normal distribution table again, this time to find the z-score that corresponds to the 93rd percentile. We find that $z \approx 1.48$.

This means that Jayne's height is 1.48 standard deviations above the mean. Since Aliyaah's height is only 0.96 standard deviations above the mean, we can conclude that Jayne is taller than Aliyaah.

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Answer:

New price = 0.06 x Original price

New price $1,968

additional information to prove that the two triangles have all three corresponding sides and angles congruent. Hence option d is correct.

When we sa that two triangles are congruent, it means that they have all three pairs of corresponding sides and angles that are congruent

t. So, in order to know that the triangles are congruent using the SAS (Side-Angle-Side) method, we need to have additional information to prove that the two triangles have all three corresponding sides and angles congruent.

Option a): OP = OV. This is not sufficient to show congruence between the triangles using the SAS method. The given reason does not provide any angle information.

Option b): RO = TO or OP = OV. This is also not sufficient to show congruence using the SAS method. The given reason provides only two corresponding sides and no angle information.

Option c): RO = TO. This is not sufficient to show congruence using the SAS method. The given reason provides only one pair of corresponding sides and no angle information.

Option d): Angle R = Angle T. This is sufficient to show congruence using the SAS method. This given reason provides one pair of corresponding sides and an included angle that is congruent in both triangles. Thus, the two triangles have two pairs of congruent sides and a congruent angle between them, which satisfies the SAS condition.

From the above analysis, we can conclude that option (d) is the correct answer. To know whether two triangles are congruent using the SAS method, we need to have additional information to prove that the two triangles have all three corresponding sides and angles congruent

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The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Answer:

students= 110

adults= 40

Step-by-step explanation:

Step one:

given data

Tickets for students were $2 and tickets for adults were $3.

let students be x

and adults be y

so

2x+3y= 340--------------1

and

x+y= 150--------------------2

from 2

x= 150-y

from 1

2(150-y)+3y= 340

300-2y+3y= 340

collect like terms

y=340-300

y= 40

put y= 40 in 2

x+40=150

x= 150-40

x= 110

Answer:

y = -3/4x + 0

Step-by-step explanation:

1) Find slope

slope = rise/run

rises -3; runs 4

slope is -3/4

2) Find y-intercept

Line intercepts 0 (aka origin)

y-intercept = 0

y= -3/4x + 0

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

The sample size when four marbles are selected at random without replacement from the marble bag, is 73,815.

The total number of marbles in the bag is:

10 (orange marbles) + 9 (yellow marbles) + 11 (black marbles) + 8 (red marbles) = 38 marbles.

the number of combinations of 4 marbles chosen from the 38 marbles.

The formula for calculating combinations is given by

C(n, r) = n! / (r! × (n - r)!),

where n is the total number of items and r is the number of items chosen.

Substituting the values into the formula, we have

C(38, 4) = 38! / (4! × (38 - 4)!)

Simplifying the expression

C(38, 4) = 38! / (4! × 34!)

Using factorials:

C(38, 4) = (38 × 37 × 36 × 35) / (4 × 3 × 2 × 1)

Calculating the expression

C(38, 4) = 73,815.

Therefore, the sample size, when four marbles are selected at random without replacement from the marble bag, is 73,815.

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Answer:

Step-by-step explanation:

3:2 = 2.5:1.5

half of 2 is 1 so if you had 1.5 it would only be half. For a better explanation, 1 minute is 60 seconds half of a minute is 30 seconds. if you have 45 seconds it would be 3/4 of a second. this is hard for me to explain so if you need more examples just tell me in the comments.

i hope this helps

have a nice day/night

mark brainliest please:)

which is an iterative method that can find roots of a polynomial equation given an initial approximation.

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 17x^15 + 41x^12 + 13x^3 − 10 have?The fundamental theorem of algebra states that every polynomial function has at least one zero or root. A polynomial function of degree n can have at most n roots or zeros, so the answer to this question will be less than or equal to the degree of the polynomial. Here, f(x) is a polynomial of degree 15. Therefore, f(x) can have at most 15 zeros or roots.We cannot use the Rational Zeroes Theorem, because the coefficients of f(x) are not integers. However, we can use technology (like a graphing calculator) or numerical methods to approximate the roots.

The number of zeros the function has, however, cannot be determined without approximation.The correct answer is:long answer:According to the fundamental theorem of algebra, every polynomial equation of degree n (where n is a non-negative integer) has exactly n roots. In other words, the polynomial equation f(x) = 17x^15 + 41x^12 + 13x^3 − 10 has exactly 15 roots, counting multiplicity.Since the polynomial f(x) has no rational roots (i.e., roots that can be expressed as a fraction of integers), it cannot be factored using integer coefficients. This makes it difficult to determine the roots of the polynomial analytically.

However, we can use numerical methods or technology to approximate the roots of the polynomial. One such method is to use the Newton-Raphson method, which is an iterative method that can find roots of a polynomial equation given an initial approximation.

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Answer: D

Explanation: Since 21 out of 24 bean seeds sprouted in the first class, the probability of a bean seed sprouting is 21/24, or 0.875. This information does not provide any information about the seeds in the other five classes, other than that they were all planted using the same method. Therefore, we cannot make a definitive statement about how many seeds will or will not sprout in the other classes. Option A is supported by the given information, since 87.5% of the seeds in the first class sprouted. Option B is not necessarily supported by the given information, as it depends on how many seeds were used in total. Option C is not directly supported by the given information, but is a possible conclusion based on the probability of a seed sprouting. Option D is contradicted by the given information, since at most 3 out of 24 seeds did not sprout in the first class.

For the number of ways in which six boys and six girls can sit alternately in a line, denoted as x, we can calculate it as x = P(6) * P(6) / (P(6))^6 * 2!, where P(n) represents the permutation of n objects.

To find x, we first arrange the six boys in a line, which can be done in P(6) ways. Next, we arrange the six girls in the 6 spaces between the boys, resulting in P(6) arrangements. However, since the girls can be arranged in any order within each space, we divide by (P(6))^6 to account for duplicate arrangements. Finally, we divide by 2! to consider the two possible arrangements of boys and girls (e.g., boys first or girls first). This gives us the total number of permutations, or ways, in which the boys and girls can sit alternately in a line, which is x.

Similarly, for the circular arrangement, denoted as y, we can calculate it as y = P(5) * P(6) / (P(6))^6 * 2!.

To find y, we first arrange the six boys in a circle, which can be done in P(5) ways (as there are five relative positions for the boys in a circle). Then, we arrange the six girls in the six spaces between the boys, resulting in P(6) arrangements. We divide by (P(6))^6 to account for duplicate arrangements within each space. Finally, we divide by 2! to consider the two possible rotations of the circle. This gives us the total number of permutations, or ways, in which the boys and girls can sit alternately in a circular arrangement, which is y.

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Answer:

7 people

Step-by-step explanation:

Given:

$272 total money for all friends

parking costs $7.75 for all

tickets cost $37.75 per person

Solution;

Take away the money for parking to see how much money we have left for tickets

272 - 7.72 = $ 264.25

We divide the $264.25 to the price of 1 ticket $37.75 to see how many tickets we have money for

264.25 / 37.75 = 7

If we have money for 7 tickets then 7 friends can go to the amusement park.

For a normal distribution with mean (μ) = 60 and standard deviation (σ) = 12, the following are the probability values:P(X >66) = 0.3085, P(X < 75) = 0.8944, P(X < 57) = 0.4013 and P(48 < X < 72) = 0.6826.

The normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric around the mean. It is commonly used in statistics because many phenomena in the natural world, such as height and weight, tend to follow a normal distribution. To calculate probabilities for a normal distribution, we can use the standard normal distribution. we can use a standard normal distribution table or a calculator to find the probabilities of interest.

P(X >66)

P(X > 66) is the probability that X is greater than 66. To find this probability, we will use the standard normal distribution:

z = (x - μ)/σ = (66 - 60)/12 = 0.5

P(Z > 0.5) = 1 - P(Z < 0.5) = 1 - 0.6915 = 0.3085

Therefore, P(X >66) = 0.3085

p(X < 75)

P(X < 75) is the probability that X is less than 75. To find this probability, we will use the standard normal distribution:

z = (x - μ)/σ = (75 - 60)/12 = 1.25

P(Z < 1.25) = 0.8944

Therefore, P(X < 75) = 0.8944

p(X < 57)

P(X < 57) is the probability that X is less than 57. To find this probability, we will use the standard normal distribution:

z = (x - μ)/σ = (57 - 60)/12 = -0.25

P(Z < -0.25) = 0.4013

Therefore, P(X < 57) = 0.4013

p(48 < X < 72)

P(48 < X < 72) is the probability that X is between 48 and 72. To find this probability, we will first find the probabilities of X being less than 48 and 72 and then subtract:

P(X < 48)z = (x - μ)/σ = (48 - 60)/12 = -1

P(Z < -1) = 0.1587

P(X < 72)z = (x - μ)/σ = (72 - 60)/12 = 1

P(Z < 1) = 0.8413

Therefore,P(48 < X < 72) = P(X < 72) - P(X < 48) = 0.8413 - 0.1587 = 0.6826

For a normal distribution with mean (μ) = 60 and standard deviation (σ) = 12, we found the probabilities: P(X >66) = 0.3085, P(X < 75) = 0.8944, P(X < 57) = 0.4013 and P(48 < X < 72) = 0.6826. These probabilities were found by converting the normal distribution to the standard normal distribution using the formula z = (x - μ)/σ and then using a standard normal distribution table or a calculator to find the probabilities of interest.

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Answer:

44 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let L be the length and W the width

Perimeter of a rectangle is P = 2L + 2W

We are told that L = W + 14 (m)        [the length is 14 meters more than the width]

Area of a rectangle is A = L*W

We learn that A = 96 m^2

L*W = 96

Since L = W + 14, we can substitute:

L*W = 96

(W + 14)*W = 96 m^2

W^2 + 14W = 96

W^2 + 14W - 96  = 0

The solution to W in the above equation is 5.04 m

This means L = 5.04 m + 14 m

L = 19.04 meters

Perimeter = 2W + 2L

Perimeter = 2(5.04) + 2(19.04) = 96 m^2

The solutions to the equation are x = π/2 and x = 11π/6. We can write these as a list separated by commas:

X = π/2, 11π/6

To solve the equation 2 sin^2 (x) – sin(x) – 1=0 for all solutions 0 < x < 2π, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 2, b = -1, and c = -1. Plugging these values into the quadratic formula gives us:

x = (-(-1) ± √((-1)^2 - 4(2)(-1))) / (2(2))

Simplifying the expression inside the square root gives us:

x = (1 ± √(1 + 8)) / 4

x = (1 ± √9) / 4

x = (1 ± 3) / 4

This gives us two possible values for x:

x = (1 + 3) / 4 = 1

x = (1 - 3) / 4 = -0.5

Now we need to find the values of x that satisfy the original equation and are within the given range of 0 < x < 2π. To do this, we can use the inverse sine function:

x = sin^-1(1) = π/2

x = sin^-1(-0.5) = -π/6

Since we are looking for solutions within the range of 0 < x < 2π, we need to add 2π to the nagetive solution to get a positive value:

x = -π/6 + 2π = 11π/6

Therefore, the solutions to the equation are x = π/2 and x = 11π/6. We can write these as a list separated by commas:

X = π/2, 11π/6

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If the corners of the kitchen are (8, 4), (−3, 4), (8, −8), and (−3, −8), the area of the kitchen is 132 square feet. So, the correct option is C.

To find the area of the rectangular kitchen, we need to use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width.

From the given ordered pairs, we can determine the length and width of the rectangle. The length is the distance between the points (8,4) and (-3,4), which is 8 - (-3) = 11 feet. The width is the distance between the points (8,4) and (8,-8), which is 4 - (-8) = 12 feet.

Now that we know the length and width, we can find the area by multiplying them together:

A = L x W = 11 x 12 = 132 square feet

Therefore, the correct answer is C.

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Answer    C. 132 fT2  

Step-by-step explanation:

In linear equation, $869,776  will her total payment for the home be .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

2. Amount borrowed

You will make a 22% down payment:

Thus the amount borrowed is $426,000 - $93,720 = $332,280

3. Monthly payment

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

4. Total monthly payments:

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

5. Total payment for the home.

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

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There are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
To find the number of different codes that can be made with 4 numbers between 1 and 20 without repeating any number, we can use the permutation formula, nPr = n! / (n-r)! where n is the total number of items and r is the number of items we want to choose.

In this case, we have n = 20 (the total number of numbers we can choose from) and r = 4 (the number of numbers we need to choose).

So, the number of different codes that can be made is:

20P4 = 20! / (20-4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116,280

Therefore, there are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.

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Answer:

the maximum height of the ball is 81.125 feet above the ground. when the ball is at its peak, the ball is 156.25 feet away from home plate.

Step-by-step explanation:

x = d

y = h

to find the x coordinate of the vertex of a parabola, use the equation

x = -b/2a

y = ax^2 + bx+ c

y = – 0.0032x^2 + x + 3

x = -1 / 2 • - 0.0032

x = 156.25

plug x into original equation to find the the y coordinate of the vertex

y = – 0.0032 • (156.25)^2 + (156.25) + 3

y = – 0.0032 • 24414.0625 + 159.25

y = – 78.125 + 159.25

y = 81.125

The baseball is about 156.25 feet away from home plate when it reaches its maximum height.

To find the maximum height reached by the baseball, we need to determine the vertex of the parabolic function h = -0.0032d² + d + 3. The vertex of a parabola in the form y = ax² + bx + c is given by the formula (-b / 2a, f(-b / 2a)).

In your case, a = -0.0032 and b = 1. Let's calculate the x-coordinate of the vertex first:

x-coordinate of vertex = -b / (2a)

x-coordinate of vertex = -1 / (2 × -0.0032)

Now, plug this x-coordinate back into the function to find the maximum height (y-coordinate of the vertex):

h = -0.0032 * (x-coordinate of vertex)² + (x-coordinate of vertex) + 3

Now, let's calculate:

x-coordinate of vertex ≈ 156.25

h ≈ -0.0032 × (156.25)²+ 156.25 + 3

Calculate the height:

h ≈ 251.5625 feet

So, the maximum height reached by the baseball is approximately 251.5625 feet.

To find how far the baseball is from home plate when it reaches its maximum height, we simply use the x-coordinate of the vertex, which we calculated as approximately 156.25 feet.

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the value of P(A∩B) in terms of x and y is xy.

The correct option is D. xy.

To determine the value of P(A∩B) in terms of x and y, we can use the definition of conditional probability and the fact that P(A∩B) = P(A|B) * P(B).

Given that P(A|B) = x and P(B) = y, we can substitute these values into the equation:

P(A∩B) = P(A|B) * P(B)

        = x * y

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a) The demand function is p(x) = -0.001x + 59.

b) The ticket prices should be set to approximately $29.50 to maximize revenue.

(a) To find the demand function, we will use the two given points: (49,000 spectators, $10) and (51,000 spectators, $8). We can find the slope (m) and the y-intercept (b) for the linear function p(x) = mx + b.

The slope formula is (y2 - y1) / (x2 - x1). Using the given points, we get:

m = (8 - 10) / (51,000 - 49,000) = -2 / 2,000 = -0.001

Now, we can use one of the points to find the y-intercept (b). Let's use (49,000 spectators, $10):

10 = -0.001 * 49,000 + b
b = 10 + 0.001 * 49,000 = 10 + 49 = 59

So, the demand function is p(x) = -0.001x + 59.

(b) To maximize revenue, we need to find the price that results in the highest product of price and attendance. Revenue (R) = p(x) * x. Therefore, R(x) = (-0.001x + 59) * x. To find the maximum, we can take the derivative of R(x) with respect to x and set it equal to zero:

dR/dx = -0.002x + 59 = 0

Solving for x, we get:

x = 59 / 0.002 = 29,500 spectators

Now, we can plug this value into the demand function to find the optimal ticket price:

p(29,500) = -0.001 * 29,500 + 59 ≈ $29.50

So, the ticket prices should be set to approximately $29.50 to maximize revenue.

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Answer:

See Explanation

Step-by-step explanation:

Given

\(d_1 =6in\) --- the first diagonal

\(Area = (20in^2,25in^2)\)

The question is incomplete, as the image of the kite and what is required are not given

However, a possible question could be to calculate the length of the other diagonal

Calculating the length of the other diagonal, we have:

\(Area = 0.5 * d_1 * d_2\)

Make d2 the subject

\(d_2 = \frac{Area }{0.5 * d_1}\)

Multiply by 2/2

\(d_2 = \frac{2 * Area }{2* 0.5 * d_1}\)

\(d_2 = \frac{2 * Area }{1 * d_1}\)

\(d_2 = \frac{2 * Area }{d_1}\)

When Area = 20, we have:

\(d_2 = \frac{2 * 20}{6}\)

\(d_2 = \frac{40}{6}\)

\(d_2 = 6.67\)

When Area = 25, we have:

\(d_2 = \frac{2 * 25}{6}\)

\(d_2 = \frac{50}{6}\)

\(d_2 = 8.33\)

So:

\(d_2 = (6.67,8.33)\)

This means that the length of the other diagonal is between 6.67in and 8.33in

the original depth of the ice was approximately 69.33 feet.

How to do and what is depth?

Let x be the original depth of the ice.

After a 25% decrease, the remaining ice is 75% of the original depth:

0.75x = 52

Dividing both sides by 0.75, we get:

x = 69.33

Therefore, the original depth of the ice was approximately 69.33 feet.

Depth refers to the measurement of the distance from the top or surface of something to its bottom or furthest point.

It is often used to describe the distance between two opposite surfaces or points, such as the depth of a swimming pool, the depth of a hole, or the depth of the ocean.

In physics, depth is used to measure the distance between two points in space, such as the depth of an ocean trench or the depth of the atmosphere.

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The area of the rhombus is 384cm²

a rhombus is a type of quadrilateral. It is a special case of a parallelogram, whose all sides are equal and diagonals intersect each other at 90 degrees. This is the basic property of rhombus. The shape of a rhombus is in a diamond shape.

The area of a rhombus is given as:

PQ/2

Where and q are the diagonals of a the rhombus

A = PQ/2

But in these case the rhombus is a parallelogram, therefore the area = base × height

= 20× 19.2

= 384cm²

The area of the rhombus is 384cm²

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