What is the answer to the question?

What Is The Answer To The Question?

Answers

Answer 1

The solid that is produced rotating the triangle about the line m is given as follows:

A cylinder with height of 2 units.

What are the radius and the diameter of a cylinder?

The cylinder has a circular base, hence we must start there, then we consider that;

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle.The diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.

Rotating the line, the features of the cylinder generated are given as follows:

Radius of 1.5 units.Diameter of 3 units.Height of 2 units.

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Related Questions

How many ways to paint a house with 3 different colors from a pool of 12 distinct colors

Answers

There are 1320 ways to paint a house with 3 different colors from a pool of 12 distinct colors.

Solve for x, y and z
2x – y + 3z = 10
x + 3y – 2z = 5
3x – 2y + 4z = 12

Answers

Answer:

Given system of linear equations are

2x+3y+3z=5

x−2y+z=−4

3x−y−2z=3.

Represent it in matrix form

2

1

3

3

−2

−1

3

1

−2

x

y

z

=

5

−4

3

which is in the form of AX=B

A=

2

1

3

3

−2

−1

3

1

−2

∣A∣=10+15+15=40

=0

∴ A

−1

exists

To find adjoint of A

A

11

=5,A

12

=5,A

13

=5

A

21

=3,A

22

=−13,A

23

=11

A

31

=9,A

32

=1,A

33

=−7

Adj(A)=co-factor

5

3

9

5

−13

1

5

11

−7

=

5

5

5

3

−13

11

9

1

−7

A

−1

=

∣A∣

1

Adj(A)

=

40

1

5

5

5

3

−13

11

9

1

−7

X=A

−1

B

=

40

1

5

5

5

3

−13

11

9

1

−7

5

−4

3

X=

40

1

25−12+27

25+52+3

25−44−21

X=

40

1

40

80

−40

x

y

z

=

1

2

−1

Hence, x=1,y=2 and z=−1

The solution to the system of equations is

x = 3

y = 2

z = 2

How to solve the simultaneous linear equation?

To solve for x, y, and z, we can use the elimination method or substitution method. Here, we will use the elimination method.

First, we will eliminate y from the equations by multiplying the first equation by 3 and the second equation by 1, and then adding them:

(3) (2x – y + 3z = 10)

6x – 3y + 9z = 30

(1) (x + 3y – 2z = 5)

x + 3y – 2z = 5

Adding the two equations gives:

7x + 7z = 35

Simplifying, we get

x + z = 5 (Equation 1)

Next, we will eliminate y again by multiplying the second equation by 2 and the third equation by 3, and then adding them:

(2) (x + 3y – 2z = 5)

2x + 6y – 4z = 10

(3) (3x – 2y + 4z = 12)

9x – 6y + 12z = 36

Adding the two equations gives:

11x + 8z = 46

Substituting x + z = 5 from Equation 1 into the above equation, we get:

11(x + z) + 8z = 46

11x + 19z = 46

Solving for z, we get:

z = 2

Substituting z = 2 into x + z = 5 from Equation 1, we get:

x + 2 = 5

x = 3

Finally, substituting x = 3 and z = 2 into any of the original equations, we can solve for y:

2x – y + 3z = 10

2(3) – y + 3(2) = 10

6 – y + 6 = 10

y = 2

Therefore, the solution to the system of equations is:

x = 3

y = 2

z = 2

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If m varies jointly as p and the square root of w and m=21 when p=5 and w=36, find m when p=9 and w=225

Answers

When p = 9 and w = 225, the value of m is 94.5

How to find the value of m?

We know that m varies jointly as p and the square root of w, then we can write.

m = k*p*√w

Where k is a constant.

We know that m=21 when p=5 and w=36, replacing that we will get:

21 = k*5*√46

21 = k*30

21/30 = k

7/10 = k

Then the equation is:

m = (7/10)*p*√w

Then when p = 9 and w = 225 we will have:

m = (7/10)*9*√225

m = 94.5

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Two sets of data have the same measures of central tendency. Are the data sets the same? Explain.

Answers

Sample Response/ Explanation: The data sets could be the same, but not necessarily. It is possible for data sets to differ in their spread but still have the same measures of center. The measures of spread could be different.

The data sets could be the same, but not really. It is possible for the data sets to differ in their spread but still have the same measures of center. The measures of spread could be different though.

The histograms display the frequency of temperatures in two different locations in a 30 day period. A histogram titled “Temps in Desert Landing” with When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?

Answers

The measure of variability that should be used for both sets of data to determine the location with the most consistent temperature is:

Range, because Flower Town is symmetric

How to Interpret the Histogram?

A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data points over a range of successive numerical intervals of equal width. The independent variable and dependent variable are plotted along the horizontal axis and the vertical axis, respectively, in the most typical type of histogram.

Now, from the given histograms, we can see that Desert landing is skewed while Flower town is symmetrical entirely.

Thus, The measure of variability that should be used for both sets of data to determine the location with the most consistent temperature is:

Range, because Flower Town is symmetric

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Three cakes are sliced into 20 pieces each. Each cake contains 1 gold ring What is the
probability one person who eats one piece of cake from each of the 3 cakes will find 3 gold
rings?

Answers

Answer:

1/60

Step-by-step explanation:

For each cake, there is a 1/20 chance to find the gold ring since it is in one of the 20 slices. The probability for each cake is independent of each other, so we multiply

1/20 x 1/20 x 1/20

=1/60

Which set of ordered pairs gives the polygon shown?



(-4.2), (-4, -5), (1.5, -5), (1.5, 2)


(1.5, 2), (1.5, -4.5), (-4.5, -4), (2, -4)


(-4, -4.5), (-4.5, 1.5), (1.5, 2), (-4, 2)


(1.5, -4.5), (-4, -4.5), (-4, 2), (1.5, 2)

Answers

The points of the polygon are:

(1.5, 2)

(-4, 2)

(-4, -4.5)

(1.5, -4.5)

Option D is the correct answer.

We have,

From the coordinate plane,

There are 4 points that form the polygon,

The points are all in ordered pairs.

So,

(1.5, 2)

(-4, 2)

(-4, -4.5)

(1.5, -4.5)

Thus,

The points of the polygon are:

(1.5, 2)

(-4, 2)

(-4, -4.5)

(1.5, -4.5)

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MA.912.G.6.6 Benchmark Pre-Test (Multiple Choice) answers

Answers

Where the information relating to the circle and its diameter are given, the equation of the circle would be: "(x  5)²  + y2 = 81" (Option B)

Why is this so?

The above is determined by the standard form equation of a circle which is:

(x- h) ² + (y - k)² = r²

Here,


(h, k)  is the center of the circle and r   is the radius

In this case, the center is (-5 , 0) and the diameter is 18, so the radius is half the diameter, whic is 18/ 2 = 9

So making the required substitutions, the expression becomes:

(x-(-5))² + (y-(0))² = 9²

Which becomes

(x  5)²  + y2 = 81

Thus, it is correct to state that Option B is the equation of the circle.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The center of a circle is at (-5, 0), and the diameter of the circle is 18. Which of the following is the equation of the circle?

A. (x  5)²  + y = 9

B. (x  5)²  + y2 = 81

C. (x  5)²  + y2 = 9

D. (x  5)²  + y2  81

what is the value of t

Answers

Answer: 7.2
Explanation: 9/t = 12/9.6 (now cross multiply)
12t = 86.4 (divide both sides by 12)
t = 7.2

Please help i will mark brainliest

Use the graph to answer the question.


graph of triangle ABC with vertices at negative 2 comma negative 7, 3 comma negative 2, 2 comma negative 10 and a second triangle A prime, B prime C prime with vertices at 2 comma 7, negative 3 comma 2, negative 2 comma 10


Determine the direction and degree of rotation used to create the image.


90° counterclockwise rotation

270° counterclockwise rotation

90° clockwise rotation

180° clockwise rotation

Answers

Answer:

  (d)  180° clockwise rotation

Step-by-step explanation:

Given points A(-2, -7), B(3, -2), C(2, -10) and A'(2, 7), B'(-3, 2), C'(-2, 10), you want to know the angle and direction that rotates ∆ABC to ∆A'B'C'.

Signs

We notice the signs of each of the coordinates of ABC have been reversed for the coordinates A'B'C'. For example, A(-2, -7) became A'(2, 7).

A line joining these points is a straight line through the origin. The measure of its angle at the origin is 180°. This is the angle of rotation of A'B'C' with respect to ABC.

The image is created by 180° clockwise rotation, choice D.

__

Additional comment

When rotation is 180°, the direction is immaterial. A clockwise rotation gets you to the same place as a counterclockwise rotation.

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what’s the answer bro what is the answer

Answers

Answer:

7

Step-by-step explanation:

a= a+b/2*h

The answer to this question is 7

help me please fr i just need these questions

Answers

a) The base area of the cylinder is given as follows: 78.54 ft².

b) The height of the cylinder is given as follows: 2 ft.

How to obtain the volume of the cylinder?

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

The base area is given as follows:

Ab = πr².

Considering the radius of 5 ft, the base area is of:

Ab = 3.1416 x 5²

Ab = 78.54 ft².

Considering the volume of 157.08 ft³, the height of the cylinder is obtained as follows:

78.54h = 157.08

h = 157.08/78.54

h = 2 ft.

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Lois is planning to retire from her job. She has been working there for 27 years. If she retires this year, her monthly pension will be calculated with a flat benefit formula using the flat amount of $52 for each year of
service. She was informed that if she works another 4 years that the flat amount would increase to $60 for each year of service. How much more would her pension be if she waited the 4 years?

Answers

If Lois is retiring from her job after 27 years, then if she waited for 4 years, her pension will be $38 higher than if she retires this year.

If Lois retires this year, the flat-amount is $52, So, her monthly pension can be calculated as follows;

⇒ Monthly pension = (52 × 27)/12,

⇒ Monthly pension = $117,

If Lois works for another 4 years, the flat amount used to calculate her monthly pension will increase to $60 for each year of service.

So, her monthly pension will be calculated as follows:

⇒ Monthly pension = (60 × 31)/12,

⇒ Monthly pension = $155,

So, The difference in monthly pension between retiring this year and retiring after working another 4 years can be calculated as follows:

⇒ Difference in monthly pension = $155 - $117,

⇒ Difference in monthly pension = $38,

Therefore, if Lois waits another 4 years before retiring, her monthly pension will be $38 higher than if she retires this year.

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How knows how do this help me please

Answers

Answer:

Step-by-step explanation:

8, 40, 200, ...
Find the 10th term.

Answers

Answer: 15,625,000

Step-by-step explanation: x5, 8, 40, 200, 1,000, 5,000, 25,000, 125,000, 625,000, 3,125,000, 15,625,000

Hurry up (time limit )

State the domain and range and tell if the graph is a function yes or no?
What’s the domain and range?

Answers

The graph represents a function.The domain is: All real values.The range is: y ≥ -4.

What are the domain and range of a function?

The domain of a function is the set that contains all possible input values of the function, that is, all the values assumed by the independent variable x in the function.The range of a function is the set that contains all possible output values of the function, that is, all the values assumed by the dependent variable y in the function.

In this problem, we have that the graph in fact represents a function, as there are no vertically aligned points, that is, each input is mapped to a single output.

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(1 point) (a) Find a vector parametric equation for the part of the saddle = z = x y inside the cylinder 2+2=9 x 2 + y 2 = 9 .

Answers

I THINKKK To find a vector parametric equation for the part of the saddle z = xy inside the cylinder x^2 + y^2 = 9, we can use the parameterization:

x = r cos t
y = r sin t
z = r cos t sin t

where r is the radius of the cylinder and t is the angle of rotation around the z-axis.

Substituting the equation for z into the cylinder equation, we get:

x^2 + y^2 = 9 - z^2 = 9 - r^2 cos^2 t sin^2 t

Solving for r, we get:

r = sqrt(9 - x^2 - y^2)

Substituting r into the equation for z, we get:

z = xy = (r cos t)(r sin t) = r^2 sin t cos t

Therefore, the vector parametric equation for the part of the saddle z = xy inside the cylinder x^2 + y^2 = 9 is:

r(t) = sqrt(9 - x^2 - y^2)
x(t) = r cos t
y(t) = r sin t
z(t) = r^2 sin t cos t

where 0 <= t <= 2π.

pls help ............ explain

Answers

Answer:

Step-by-step explanation:

PLEASE LOOK AT PICTURE

Answers

The numeric ratio of the segment ratio are:

CD: DB | √5:10 | part:partCE: CA | 2:10 | part:wholeDE: BA | 1:5 | part:partCD: CB | √5:√181 | part:whole

How to find numeric ratio?

To find the numeric ratios of the given segment ratios, to calculate the distances between the given points.

CD: DB

The distance between C(6,2) and D(4,3) is:

CD = √[(6 - 4)² + (2 - 3)²] = √5

The distance between D(4,3) and B(-4,7) is:

DB = √[(4 + 4)² + (3 - 7)²] = 10

Therefore, the numeric ratio of CD:DB is:

CD:DB = √5:10

CE: CA

The distance between C(6,2) and E(4,2) is:

CE = √[(6 - 4)² + (2 - 2)²] = 2

The distance between A(-4,2) and C(6,2) is:

CA = √[(-4 - 6)² + (2 - 2)²] = 10

Therefore, the numeric ratio of CE:CA is:

CE:CA = 2:10

DE: BA

The distance between D(4,3) and E(4,2) is:

DE = √[(4 - 4)² + (3 - 2)²] = 1

The distance between B(-4,7) and A(-4,2) is:

BA = √[(-4 + 4)² + (7 - 2)²] = 5

Therefore, the numeric ratio of DE:BA is:

DE:BA = 1:5

CD: CB

The distance between C(6,2) and D(4,3) is:

CD = √[(6 - 4)² + (2 - 3)²] = √5

The distance between C(6,2) and B(-4,7) is:

CB = √[(6 + 4)² + (2 - 7)²] = √181

Therefore, the numeric ratio of CD:CB is:

CD:CB = √5:√181

Based on the numeric ratios, determine the type of ratio for each segment ratio:

CD: DB is a part:part ratio

CE: CA is a part:whole ratio

DE: BA is a part:part ratio

CD: CB is a part:whole ratio

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Lily Starbright, a singer-songwriter, released her first album at the beginning of March. By the
end of March, she had sold 1,040 copies. In April, she sold 1,352 copies. Several of the songs
on the album are now trending, so Lily expects her sales to continue to increase.
Write an exponential equation in the form ya(b) that can model the expected monthly
number of albums sold, y, x months after release.

Answers

Answer: 1040

Step-by-step explanation: y=ab

The exponential equation is: y = 1040(1.3^x)

How to solve

Calculate the value of y, which stands for the albums sold, and x represents the months passed from their release. For an exponential equation structured as y = a(b^x), identify the base b to solve it mathematically.

By analyzing the last month after launch, known as March, 1040 copies were made available for public consumption. One month further down the line, in April, the gross profit jumped up to 1352 units sold.

When we divide the copies traded throughout April by those resold in March, the value identifies the base:

b=1352/1040 ≈ 1.3

Thus, applying the coefficient a for the initial sales registered during March - totaling 1,040 copies - leads us to define the following form for our equations:

y = 1040(1.3^x)

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Happy Motor® is a company producing specialty vehicles. The company operates
several departments and each of the department is responsible for building a particular
type of vehicles, including large transport trucks, mini-bus, race car, motorcycle... etc.
Happy Motor® wants to create a database to keep track the orders to improve the
purchase and deliver process.
Each vehicle requires at least one or more different specific components, and each
department makes order to buy the components from the vendors. The vendors may
provide more than one type of the components.
All the orders are handled by the purchasing department. Each order may contain of
several different components, but all components should be come from the same vendor.
The quantity for each component requested may be different If the components needed
by the department are come from different vendors, the department need to place one
order per vendor. Each component is provided by a specified vendor.
To provide the frequently requested components immediately, an inventory is
maintained. That means the quantity on hand (QOH) for each component is recorded.
When an order comes in, it is checked to determine whether the requested component
is in inventory. If a component is not in inventory, it must be ordered from a vendor.
For each department, department code, name and email are recorded. For each order,
order number, date and total amount are recorded. For each component, component
code, name and price are recorded. Some components may not have been ordered by
any departments yet. For each vendor, vendor code, name and email are recorded. Some
vendors are newly introduced and has no order or component provided.
Given that functional description of the processes encountered at Happy Motor®
purchasing department, create the appropriate fully attributed Crow's Foot ERD.

Answers

I am not able to create visual content such as an ERD diagram, but I can guide you through the process of creating an ERD for Happy Motor's purchasing department based on the functional description provided.

First, let's identify the entities in the description:

Department (with attributes: department code, name, email)

Vehicle Type (which is produced by each department)

Component (with attributes: component code, name, price)

Vendor (with attributes: vendor code, name, email)

Order (with attributes: order number, date, total amount)

Next, let's identify the relationships between the entities:

Each department produces one or more types of vehicles

Each vehicle type requires at least one or more different specific components

Each department makes orders to buy components from vendors

Each vendor provides one or more types of components

Each order contains several different components, but all components should be from the same vendor

Each component is provided by a specified vendor

An inventory is maintained to keep track of the quantity on hand (QOH) for each component

Based on these relationships, we can create an ERD with the following entities and relationships:

Department (department code, name, email) with a one-to-many relationship with Vehicle Type

Vehicle Type (vehicle type code, name) with a many-to-many relationship with Component

Component (component code, name, price) with a many-to-one relationship with Vendor

Vendor (vendor code, name, email) with a one-to-many relationship with Component and Order

Order (order number, date, total amount) with a many-to-many relationship with Component

To show the inventory relationship, we can add an attribute to the Component entity for QOH.

Note that this is just a general outline of the ERD, and there may be additional details that need to be considered based on the specific requirements of Happy Motor's purchasing department.

To represent the inventory maintained for each component, the Component entity would have an attribute for quantity on hand (QOH).The ERD for Happy Motor® purchasing department would have the following entities and relationships:

Entities:
1. Department - with attributes: department code (PK), name, email
2. Vehicle Type - with attributes: type code (PK), name
3. Component - with attributes: component code (PK), name, price
4. Vendor - with attributes: vendor code (PK), name, email
5. Order - with attributes: order number (PK), date, total amount
Relationships:
1. Department orders Component - one-to-many (1:N) relationship between Department and Component
2. Component belongs to Vehicle Type - many-to-one (N:1) relationship between Component and Vehicle Type
3. Component is provided by Vendor - many-to-one (N:1) relationship between Component and Vendor
4. Order contains Component - many-to-many (M:N) relationship between Order and Component
5. Order is placed by Department - many-to-one (N:1) relationship between Order and Department
6. Order is placed with Vendor - many-to-one (N:1) relationship between Order and Vendor
Additionally, to represent the inventory maintained for each component, the Component entity would have an attribute for quantity on hand (QOH).

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Abby is collecting data for her science fair project about nutrition. She gathers data about the number of grams of fat and the number of calories in a serving of fruit.

Describe patterns in the data​

Answers

There is no association between the number of fat grams and the number of calories because there are no outliers or clusters.

What does no association mean ?

To make this clear, when we claim that there is no correlation between two variables, it indicates a lack of comprehensible patterns or connections. Put another way, adjustments in one factor do not seem to impact the other.

In relation to the inquiry at hand, if fat grams and calorie figures have no notable outliers or groupings, there might be an inference that these two variables are not related.

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WHAT IS THE RANGE OF 28 42 36 23 14 47 40

Answers

Answer:

33

Step-by-step explanation:

To solve for the range, simply subtract the largest-value term from the smallest-value term. First, set all numbers from least to greatest:

14 , 23 , 28 , 36 , 40 , 42 , 47

The smallest term is 14.

The largest term is 47.

Subtract 47 with 14:

[tex]47 - 14 = 33[/tex]

The given range value will be 33.

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33.4 is the range

Sorry if I’m wrong

6. It takes Ms. Singleton 36 minutes to get ready
for school. This is 4 times as long as it takes Ms.
Mullaney to get ready for school. How long does
it take Ms. Mullaney to get ready for school?

Answers

The answer is 9

4x9=36

on the map , a line of length 5cm represents 40km, how many kilometers would a line of length 7 1/2 cm represents​

Answers

If a line of length 5cm represents 40km, then we can find the scale factor by dividing the length of the line on the map by the actual distance it represents:

Scale factor = 5cm / 40km = 1cm / 8km

To find out how many kilometers a line of length 7 1/2 cm represents, we can multiply the length of the line by the scale factor:

7 1/2 cm x 1cm / 8km = (15/2)cm x 1cm / 8km = 15/16 km

Therefore, a line of length 7 1/2 cm represents 15/16 km or approximately 0.938 km.

Five sevenths of the fifty six images used as backgrounds on julia iPad were photos from dance class that she took herself. How many photos are of julia dance class? **Make sure you provide Your final answer as a fraction with a denominator of 56

Answers

The number of photos from Julia dance class = 5/7 or 40/56 photos.

We shall use mathematical operations to calculate the photos that are of Julia dance class

How do we use mathematical operations to calculate the photos?

Five sevenths of the images are photos from dance class, meaning that 5/7 x 56 = 40 photos from dance class.

We express the answer as a fraction with a denominator of 56 like this:

Number of photos / Total number of photos = 40/56

Number of photos from dance class / Total number of photos = 5/7

Therefore, the fraction of photos that are of Julia dance class (as a fraction with a denominator of 56) = 5/7 or 40/56.

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mary read 1/7 pages on monday.there are 490 pages. how many pages did she read?

Answers

Answer: 70 pages

Step-by-step explanation: If she read 1/7 pages on monday and the book is 490 pages, divide. 490 ÷ 1/7 = 70. 70 × 7 is 490. So use these operations in future problems. Just make sure to read carefully!

Triangle LMN is an obtuse triangle with l = 6, n = 8.3, and m∠M = 132°. What is the area of ΔLMN?

Answers

The area of triangle LMN is 49.61 square units.

We have,

To find the area of triangle LMN.

Area = (1/2) x base x height

where the base and height are the sides of the triangle perpendicular to each other.

First, we need to find the length of side L.

We can use the Law of Cosines.

L² = M² + N² - 2MNcos(132°)

L² = 6² + 8.3² - 268.3cos(132°)

L² = 36 + 68.89 + 99.36

L² = 204.25

L = √204.25

L = 14.28

Now that we know the length of the base of the triangle, we can find the height by dropping a perpendicular from vertex M to side LN.

Since triangle LMN is obtuse, the perpendicular will fall outside of the triangle.

Let's call the foot of the perpendicular point P.

Since M∠M is 132°, we can find the measure of the acute angle ∠LMP:

M∠LMP = 180° - M∠M

M∠LMP = 180° - 132°

M∠LMP = 48°

We can use trigonometry to find the length of MP:

tan(48°) = h/6

h = 6 x tan(48°)

h = 6.93

The area of triangle LMN is:

Area = (1/2) x base x height

Area = (1/2) x 14.28 x 6.93

Area ≈ 49.61

Thus,

The area of triangle LMN is 49.61 square units.

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Graph with x axis labeled Quantity Demanded and numbered in hundreds, 100 to 500. Y axis is Price, with prices 0 to 6. A line representing the Demand Curve starts at 100, 5 and drops at an angle down to 500, 1. Solid lines extend upward from the x axis to the green line at points 100, 5, 200, 4, 300, 3, 400, 2, and 500, 1. Public Domain Based on the graph, how is quantity demanded related to price? (5 points) Quantity demanded decreases as price decreases. Quantity demanded is equal to the product's price. Quantity demanded decreases as price increases. Quantity demanded increases as price increases.

Answers

Based on the information, the correct information regarding the graph is that C. Quantity demanded decreases as price increase.

How to explain the graph

The graph shows that for every increase of 100 units of the goods demanded, price reduces by 1 unit.

When 500 units was demanded, the price was at 1. Therefore, if 550 units are demanded, the price will reduce by half, which means the price would drop to 0.5.

The price would drop to 0.5. In this case, the the correct information regarding the graph is that Quantity demanded decreases as price increase.

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can you please help me with the answer?

Answers

The dimension is gioven as 69.26 feet

How to solve for the dimension

xy = 1836

This is the area

The cost of fence = 2x + 2y

cost of interior fencing

2x + 4y

C = 20.40(C1) + 12.00(C2)

We have to put the vakues in the formula above

C = 20.40(2x + 2y) + 12.00(2x + 4y)

= 40.80x + 40.80y + 24.00x + 48.00y

= 64.80x + 88.80y

from xy = 1836

y = 1836 / x

We have to put the value in C

C = 64.80x + 88.80(1836/x)

= 64.80x + 164236.80/x

Take the deriveative with respect to x

64.80 - 164236.80/x^2 = 0

x = √(164236.80/64.80)

=  69.26 feet

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