A gardener has 400 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing. garden bordered by a river What dimensions would guarantee that the garden has the greatest possible area

Answers

Answer 1

The gardener should create a square-shaped garden with sides measuring 100 feet each to guarantee the greatest possible area.

To guarantee the greatest possible area for the rectangular garden with one side bordered by a river, the gardener should use the available 400 feet of fencing to enclose the remaining three sides of the garden in a square shape.

This means that two opposite sides of the square will each measure 400/4 = 100 feet, while the other two sides will measure the same, forming a square garden.

By creating a square garden, the gardener maximizes the area because a square is a rectangle with equal sides, and for a given perimeter, a square has the largest possible area among all rectangles. In this case, the river acts as one side of the rectangle, and the square shape ensures that the remaining two sides are equal, optimizing the enclosed area.

To summarize, the gardener should create a square-shaped garden with sides measuring 100 feet each to guarantee the greatest possible area.

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Related Questions

Which set of ordered pairs does not represent a function?

A)\{(0, 9), (-1, -2), (-5, 2), (-3, 0)\}{(0,9),(−1,−2),(−5,2),(−3,0)}
B)\{(0, -6), (-6, 5), (4, 5), (5, 7)\}{(0,−6),(−6,5),(4,5),(5,7)}
C)\{(0, 8), (-7, -1), (4, 8), (1, 5)\}{(0,8),(−7,−1),(4,8),(1,5)}
D)\{(4, -6), (9, -7), (9, -4), (6, 3)\}{(4,−6),(9,−7),(9,−4),(6,3)}

Answers

Answer:

D

Step-by-step explanation:

(9,-7) and (9,-4). it is 2 Y for 1 X

Answer:

Step-by-step explanation:

D. It fails the vertical line test when x=9.

You are going to the Harlem Globetrotters game where the tickets are $27.50 per person. You spent $137.50. How many people went to the Globetrotters game?

Answers

To determine the number of people who went to the Harlem Globetrotters game, we divide the total amount spent ($137.50) by the cost per ticket ($27.50). The result indicates that five people went to the game.

If the tickets for the Harlem Globetrotters game cost $27.50 per person, and you spent a total of $137.50, we can calculate the number of people who attended the game by dividing the total amount spent by the cost per ticket.
Dividing $137.50 by $27.50 gives us 5. Therefore, the answer is that five people went to the Harlem Globetrotters game.
This calculation works because we are essentially finding the number of times $27.50 can be divided into $137.50. Since each person requires one ticket, the number of people who attended the game corresponds to the number of times the ticket price can be evenly divided into the total amount spent.

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Use a calculator to find each value. Round your answers to the nearest thousandth.

sec 42°

Answers

The value of sec 42° is approximately 1.259. Secant is a trigonometric function that represents the ratio of the hypotenuse to the adjacent side in a right triangle. It is the reciprocal of the cosine function. Trigonometry is a branch of mathematics that deals with the relationships between angles and sides of triangles, finding applications in various fields. To calculate sec 42°, we use a calculator to obtain the rounded value of 1.259.

What is secant and how is it related to trigonometry?

Secant, often abbreviated as sec, is a trigonometric function that is derived from the ratio of the hypotenuse to the adjacent side in a right triangle. It is the reciprocal of the cosine function.

In other words, the secant of an angle in a right triangle is equal to the length of the hypotenuse divided by the length of the adjacent side.

To understand secant further, let's consider a right triangle with an angle of 42 degrees. In this case, we can use a calculator to find the value of sec 42°.

Using the calculator, we input the angle in degrees, and then apply the secant function. The calculator will evaluate the value for us, and rounding to the nearest thousandth gives us an answer of approximately 1.259.

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles.

It finds wide applications in various fields such as physics, engineering, and navigation. If you want to delve deeper into trigonometry and explore concepts like secant, you can study topics such as trigonometric functions, identities, and applications of trigonometry.

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ind the inverse Laplace transform of the following function: 8 /s² (s+2)

Answers

The Steady-state gain can be found using the formula Kp = lim s->0 G(s).

A. (a) The inverse Laplace transform of the function 8 /s² (s+2) is given by f(t) = 8(t - e^(-2t)).

B. (a) To find the inverse Laplace transform of 8 /s² (s+2), we can use partial fraction decomposition and inverse Laplace transform tables.

First, we express the function in partial fraction form as follows: 8 /s² (s+2) = A/s + B/s² + C/(s+2).

To find the values of A, B, and C, we can equate the coefficients of corresponding powers of s in the numerator and denominator. This leads to the equations A + 2B + 2C = 0, A = 8, and B = -8.

Substituting the values of A and B into the equation A + 2B + 2C = 0, we find C = 4.

Now, we have the partial fraction decomposition as: 8 /s² (s+2) = 8/s - 8/s² + 4/(s+2).

Using inverse Laplace transform tables, we find the inverse Laplace transforms of each term: L⁻¹{8/s} = 8, L⁻¹{8/s²} = 8t, and L⁻¹{4/(s+2)} = 4e^(-2t).

Finally, we combine the inverse Laplace transforms of each term to obtain the inverse Laplace transform of the original function: f(t) = 8(t - e^(-2t)).

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In one design being considered for the container shaped like a cylinder, the container will have a height of 12 inches. What will be the radius of the container, to the nearest tenth of an inch?

Answers

The amount of space occupied by a three dimensional figure as measured in cubic units. The radius of container is 2.6 inch.

What is volume?

Formula for the volume of cylinder

π r² h

where're is the radius .h is the height

According to the given question

shape of the container is cylindrical.

Height of the container, h = 12 inches

Volume of container = 258.75 cubic inches

for the radius of the container

volume of container =

258.75 = 3.14××12

258.75 =37.68×

⇒ = 2.6 inch

Hence, the radius of container is 2.6 inch.

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Which postulate could we use to prove that the angles

Which postulate could we use to prove that the angles

Answers

Answer:

you can use the angle addition postulate I think that's what it's called

find the missing length of the right triangle: a=? b=20 c=30

Answers

Answer:

a= 130

Step-by-step explanation:

Since all angles of a triangle add up to 180

180= a+b+c

180= a+20+30

180=a+50

180-50= a

130= a

How to substitute 8x-4y=-12, 8x+y=-17

Answers

we have the system

8x-4y=-12 -----> equation A

8x+y=-17 -----> y=-17-8x -----> equation B

substitute equation B in equation A

8x-4(-17-8x)=-12

solve for x

8x+68+32x=-12

40x=-12-68

40x=-80

x=-2

Find the value of y

y=-17-8(-2)

y=-17+16

y=-1

the solution is x=-2y=-1Example8x-4y=-12 -----> equation A

8x+5y=-17 -----> equation B

isolate the variable y in equation B (or equation A)

5y=-17-8x

y=-(17/5)-(8/5)x

substitute in equation A

8x-4[-(17/5)-(8/5)x ]=-12

solve for x

The Rosens found a house selling for $113,500. The taxes on the house are $1200
per year, and insurance is $320 per year. They are requesting a conventional loan from the local bank. The bank
is currently requiring a 15% down payment and 3 points, and the interest rate is 10%. The Rosen’s gross
monthly income is $4750. The have more than 10 monthly payments remaining on a car, a boat, and furniture.
The total monthly payments for these items is $420. Their bank will approve a loan that has a total monthly
mortgage of principal, interest, property taxes, and homeowners insurance that is less than or equal to 28% of
their adjusted monthly income.

Answers

In order to calculate the maximum loan amount the Rosens can afford, we can use the 28% rule of thumb..Down Payment + Points = 15% Down Payment + 3 Points Down Payment + Points = 15% x 113,500 + 3 Points

In order to calculate the maximum loan amount the Rosens can afford, we can use the 28% rule of thumb. This rule states that the total monthly mortgage payment (principal, interest, taxes, and insurance) should not exceed 28% of the Rosens’ adjusted monthly income. The adjusted monthly income is calculated by subtracting the total monthly payments for their car, boat, and furniture from their gross monthly income To calculate the maximum loan amount, we can use the following formula :Maximum Loan Amount = (Adjusted Monthly Income x 28%) - (Monthly Property Tax + Monthly Home Insurance)For the Rosens, the adjusted monthly income is 4750 - 420 = 4330. The maximum loan amount is then calculated as follows: Maximum Loan Amount = (4330 x 0.28) - (1200/12 + 320/12)Maximum Loan Amount = 1208 - 200 Maximum Loan Amount = 1008.The maximum loan amount the Rosens can receive is then calculated by subtracting the down payment and points from the maximum loan amount .Down Payment + Points = 15% Down Payment + 3 Points Down Payment + Points = 15% x 113,500 + 3 Points.

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Solve for the value of r. (8r+6)° (9r-7)​

Solve for the value of r. (8r+6) (9r-7)

Answers

Answer:

r = 13

Step-by-step explanation:

these angles are vertical and are congruent

8r + 6 = 9r - 7

6 = r - 7

13 = r

Miss sally waited on a large at the chesterfield Restaurant. The party bill totaled $110.00. As the party was pleased with the service they received, they tipped Miss sally 20% what amount did miss sally receive as her tip ? Explain your answer

Answers

Answer: $22.00

Steps: Miss Sally received $22.00 as her tip. Multiply 110 by .20 to find the percent she received.

plz mark brainliest:)

How did sal castro work to promote positive associations with mexican american identity

Answers

Sal Castro worked tirelessly to promote positive associations with Mexican American identity by advocating for bilingual education and the inclusion of Mexican American history and culture in the curriculum.

He believed that it was important for students to see themselves reflected in their education and for them to be proud of their heritage. He also organized student walkouts and protests in the 1960s to demand better educational opportunities for Mexican American students and to fight against discrimination and racism.

Through his activism, Sal Castro helped to empower Mexican American students and promote a sense of pride in their identity and culture.  By addressing issues such as discrimination, underrepresentation, and lack of resources in schools, Castro aimed to foster a sense of pride and self-awareness among Mexican American youth.

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Alice is 2 years younger than brian. The sum of their ages is 28. How old are alice and brian

Answers

Answer:

brian is 15 and alice is 13

Step-by-step explanation:

just use x+x+2=28 nd u will get the answer

Answer:
Brian is 15 and Alice is 13

Step-by-step explanation:
just use x+x+2=28 and you will get the correct answer

the value r2 is called the coefficient of determination because it measures the proportion of variability in one variable that can be determined from the relationship with the other variable.

Answers

The value r², called the coefficient of determination, measures the proportion of variability in one variable that can be determined from its relationship with the other variable.

The higher the value of r2, the more of the variation in the dependent variable can be attributed to the independent variable(s), and therefore the better the relationship between the two variables is. Overall, the coefficient of determination is an important statistical measure that is used to evaluate the strength and fit of regression models. It allows researchers to determine how much of the variation seen in the dependent variable can be explained by the independent variable(s), which can help in making predictions and drawing conclusions from the data.

It represents the strength and direction of the correlation between two variables, helping to quantify their linear association. A higher r² value indicates a stronger relationship between the variables, while a value close to zero signifies a weak or no relationship.

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Which graph represents a function?

Which graph represents a function?

Answers

Answer:

The first one is the only function

Step-by-step explanation:

You cannot have points on the same y gridline

If it is a function is has to pass the pencil test

Answer:

\(\boxed{Graph A.}\)

Step-by-step explanation:

Hey there!

Well graph A is correct because if you do the vertical line test which decides is the graph is a function or not you can see that all the graph expect A have the vertical line go through 2 points.

Hope this helps :)

What is the expression in repeated multiplication form of (-8)^3 • (-8)^4

Answers

Answer:

(-8)x(-8)x(-8)x(-8)x(-8)x(-8)x(-8)

Step-by-step explanation:

What is the error in the solution of the proportion shown at the right?

A. The second line should be 2x + 18 = 3x making the final answer 18 = x

B. The second line should be 2x + 27 = 3x making the final answer 27= x

C. The second line should be 3x + 9 = 2x making the final answer 9 = x

D. There is no error

What is the error in the solution of the proportion shown at the right?A. The second line should be 2x

Answers

The error in the proportion is the second line should be 2x + 18 = 3x making the final answer 18 = x


How to find the correct solution of the proportion?

The error in the solution of the proportion shown can be calculated as follows:

Therefore, let's solve the equation to know the error made.

2 / 3 = x / x + 9

cross multiply

2(x + 9) = 3x

open the brackets

2x + 18 = 3x

subtract 2x from both sides of the equation

2x + 18 = 3x

2x - 2x + 18 = 3x - 2x

x = 18

Therefore, he made mistake in the second line, it should be  2x + 18 = 3x making the final answer 18 = x

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ritas total bill at a restaurant was 25.00 including tax. if she left a tip of 20% of the total bill, what was the amount of the tip

Answers

Answer:

She left a $2 tip

Step-by-step explanation:

0.2*25 = 5

I dont understand graphing

Answers

Answer:

What exactly do you not understand maybe i can help

Step-by-step explanation:

itaimle fentan' th the yen +1 Mime chose Sowe Mitide chices asccereiond pls: * attonach 7= Which of the liliswing in a cintical ritik to the wocest of yod tritivees plan? Mrryin Dreite hisculte ievitor: porinumalike Q.wide Orete be Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager. Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following plans is most useful for demonstrating a new technology or service or to reach a market that is widely spread out? Mutiple Choice an irvertion plan a proof-of-concept website an operational plan a screening plan Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan Connie is in trouble because she does not know what a business plan looks like. Which of the following statements about the market section of the classic business plan is not true? Muniple Choice The market section bullds on material you may have developed in the IDEO, business model canvas, and feasibility analyses done eatilier, Marketing plans remain the same across any multiple target audiences; Target audiences are aiso ealled custamer segments. Some people prefer to relocate the compettion and competilve advantage section from the market section to the industry section. Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following is a critical risk to the success of your business plan? Mulitiple Choice overlooked competition assumptions given for the financials adequate paybock direct customer connection Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following pitch deck categories is sometimes given in the form of a user's experience? Multiple Cholce product sides problem slide solution slide introductory slide Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is get the listener Multiple Choice to make a micro-commitment. provide feedback look at your invention plan, to piedge money Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach Investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks llike. A good marketing strategy is most likely to focus on Multiple Choice productiservice description. key activities and operations: value proposition. the longerterm competitive plan.

Answers

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

How to explain the information

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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solve system with substitute .5x+2y=5 and x-2y=-8​

Answers

Answer:

x=-1/2 and y=15/4

Step-by-step explanation:

Rewrite equations:

x−2y=−8;5x+2y=5

Step: Solvex−2y=−8for x:

x−2y=−8

x−2y+2y=−8+2y(Add 2y to both sides)

x=2y−8

Step: Substitute2y−8forxin5x+2y=5:

5x+2y=5

5(2y−8)+2y=5

12y−40=5(Simplify both sides of the equation)

12y−40+40=5+40(Add 40 to both sides)

12y=45

12y/12=45/12 divide both sides by 12

y=15/4

Step: Substitute 15/4 for y in x=2y−8

x=2y−8

x=2(15/4)-8

x=-1/2 (simplify both sides of the equation.)

I need help with B. Do you I think this will mean the end of life on earth?

Please answer ASAP

I need help with B. Do you I think this will mean the end of life on earth? Please answer ASAP

Answers

Answer:

yes

Step-by-step explanation:

what is 68 + .765 + 2.123

Answers

Answer:70.888

Step-by-step explanation:

68 + 0.765 + 2.123 = 70.888

Can someone help me please?
Find the difference:
(x-7) - (3x+8)

Answers

Answer:

-2x+1

Step-by-step explanation:

In this, you can only add like terms. Like terms would be x and -3x or -7 and 8.

(x-3x)+(-7+8)=-2x+1

Answer:

The answer is (-2x – 15)

Step-by-step explanation:

(x – 7) – (3x + 8)

x – 7 – 3x – 8

-2x – 15

Thus, The answer is (-2x – 15)

-TheUnknownScientist 72

please help!!!!!!!!!!!

please help!!!!!!!!!!!

Answers

it should be this y=1/2x+3
I agree with the answer above

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Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?

Answers

Answer:

He would be making 544.8$ each week

Step-by-step explanation:

A truck holds 48,000 pounds of sand.
How many tons are in 48,000 pounds?

Answers

Answer:

24

Step-by-step explanation:

dont exaclty have an explanations - its just the calculations

Which best proves why the expressions 4(x+3)+2x and 6(x+2 must be equivalent expressions

Answers

Answer:

6x + 12 = 6x + 12

Explanation:

4(x + 3) + 2x

4x + 12 + 2x    Distribute 4.

6x + 12            Combine the like terms.

6(x + 2)          

6x + 12            Distribute 6

An airplane is flying at an airspeed of 600 km/hr in a cross-wind that is blowing from the northeast at a speed of 50km/hr. In what direction should the plane head to end up going due east?

Answers

The airplane should head approximately 4.76 degrees east of its intended direction to compensate for the crosswind and end up going due east.

To end up going due east, the airplane needs to counteract the effect of the crosswind and maintain a heading that compensates for the wind's direction and speed.

Since the crosswind is coming from the northeast, it forms a right triangle with the airplane's airspeed and ground speed vectors. The angle between the ground speed vector (due east) and the airspeed vector is the heading the plane should take.

Using trigonometry, we can calculate this angle. The opposite side of the triangle is the speed of the crosswind (50 km/hr), and the hypotenuse is the airspeed (600 km/hr).

Let's denote the angle as θ. We can use the sine function:

sin(θ) = opposite/hypotenuse

sin(θ) = 50/600

θ = sin^(-1)(50/600)

Evaluating this expression, we find θ ≈ 4.76 degrees.

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while the measurement of the individual angles in a triangle can vary, their sum is always

Answers

While the measurement of the individual angles in a triangle can vary depending on the size and shape of the triangle, their sum is always 180 degrees.

This fundamental concept is known as the Triangle Sum Theorem and is true for all types of triangles, including equilateral, isosceles, and scalene. This theorem is essential in geometry and plays a significant role in solving various mathematical problems related to triangles. By knowing the sum of the angles, it is possible to calculate the measurement of one missing angle if the other two are known. Additionally, it helps in proving congruence and similarity of triangles and finding various geometric properties of triangles.


While the measurement of the individual angles in a triangle can vary, their sum is always constant. This constant sum is 180 degrees. This principle is known as the Triangle Sum Property, which states that the three interior angles of any triangle will always add up to 180 degrees, regardless of the triangle's shape or size. To find the sum of the angles, you simply add the three angle measures together. For example, if a triangle has angles of 60, 70, and 50 degrees, the sum would be 60 + 70 + 50 = 180 degrees. This property holds true for all triangles, ensuring that their interior angles always have a constant sum.

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