A farmer has a field in the shape of a semicircle of diameter 50 m. The farmer asks Jim to build a fence around the edge of the field. Jim tells him how much it will cost. Total cost = £29. 86 per metre of fence plus £180 for each day's work Jim takes three days to build the fence. Work out the total cost. Show your working out

Answers

Answer 1

The total cost is £2033.

The field is in the shape of a semicircle, so the radius of the field is half the diameter or 50 m / 2 = 25 m.

The circumference of a circle is given by 2 * pi * r, where r is the radius of the circle.

So the circumference of the semicircle is 2 * pi * 25 = 50 * pi m.

The cost of the fence is £29.86 per meter. So the cost of the fence is 50 * pi * £29.86 = £1493.

Jim takes three days to build the fence and charges £180 per day.

So the cost for the labour is 3 * £180 = £540.

Adding the cost of the labour to the cost of the fence: £1493 + £540 = £2033

So the total cost is £2033.

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Related Questions

solve for x(best answer brainliest)
24x+15=25x+45

Answers

[tex]24x+15=25x+45[/tex]

Subtract 25x from both sides:

[tex]24x+15-25x=25x+45-25x[/tex]

[tex]-x+15=45[/tex]

Subtract 15 from both sides:

[tex]-x+15-15=45-15[/tex]

[tex]-x=30[/tex]

Divide both sides by -1(to remove negative from variable):

[tex]\dfrac{-x}{-1} =\dfrac{30}{-1}[/tex]

[tex]\fbox{x = -30}[/tex]

Answer:

[tex] \sf \: x = - 30[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ 24x + 15 = 25x + 45

Then the value of x will be,

→ 24x + 15 = 25x + 45

→ 24x - 25x = 45 - 15

→ -x = 30

→ [ x = -30 ]

Hence, the value of x is -30.

How do you find the legs of a 45 45 90 triangle given the hypotenuse?

Answers

The value of the legs of the triangle would be hypotenuse/√2.

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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What is an example of a no solution equation?

Answers

The equation 5x + 5 = 5x - 5 has no solution because the left side of the equation (10) cannot equal the right side of the equation (-5).

No solution equation:

5x + 5 = 5x - 5

To solve this equation, we must first isolate the variable. To do this, we can subtract 5x from both sides of the equation.

5x + 5 = 5x - 5

Subtract 5x from both sides:

5 + 5 = - 5

Simplify:

10 = -5

At this point, we can see that this equation has no solution because the left side of the equation (10) cannot equal the right side of the equation (-5).

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2 hrs 35 minutes
+ 3 hrs 40 minutes
please help asap thank you !!

Answers

2hrs +3hrs = 5hrs
40min +35 min = 1hr 15 minutes

total time = 6 hrs and 15 minutes
Given there are 60 minutes in an hour, we can set up an equation:

35 + 40 = 75

75 minutes converts to an hour and 15 minutes, so we can add this to the sum of hours:

2 + 3 = 5 hours

5 hours + 1 hour & 15 minutes = 6 hours & 15 minutes.

Hence, 2hrs & 35 minutes + 3hrs & 40 minutes = 6hrs & 15 minutes.

PLEASE HELP I SUCK AT MATH
7. Given the diagram, below which statements are true?
statement 1: Points Z, A, and X are collinear.
statement 2: Points W, A, and Y are noncoplanar.
statement 3: Rays wÀ and AY are on the line wy.
statement 4: AW and AỶ are opposite rays on the line
A. statements 1 and 2
B. statements 1, 3 and 4
C. statements 1, 2, 3 and 4
D. statements 1 and 4

Answers

Answer:

Im pretty sure it's A because Z and AZ are collinear

Answer:

statement 1, 3 and 4

Step-by-step explanation:

Statements 1 and 4 are true because points Z, A, and X lie on the same line . Also, points W, A, and Y are collinear with A in between points W and Y. So, and  are opposite rays.

can somebody please help me? nobody on here helps anymore ://

Answers

Answer:

Its not like that its just that if you post a question no one knows the answer nobody will answer you and unfortunately the question you posted I don't know how to help else I would have.

Sorry

1. A
2. C
3. B
4. D

You need to consider the way these things would change. For example, the weight of a book would stay constant over time while the air temperature would fluctuate throughout a day. Just remember that time is always on the X-axis because it is an independent variable :)

Could you help me solve this

Answers

Answer: The middle number is 15

Step-by-step explanation:

45/3= 15 so the three numbers will be around there.

14+15+16= 45

Which graph best represents a function with zeros of -3,0 and 2

Answers

The graph C. represents the polynomial with zeros of -3, 0 and 2.

What are zeros of a polynomial?

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information about the graph's x-intercepts for the polynomial.

Alternately, we might state that the zeros of the polynomial are the x-intercept of its graph. Thus, the needed function is represented by the graph with the coordinates -3, 0, and 2.

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The complete question is as follows:

Select the correct answer.

Which graph best represents a function with zeros of -3, 0, and 2?

Stella took a taxi from her house to the airport. The taxi company charged a pick-up

fee of $1. 20 plus $1. 50 per mile. The total fare was $29. 70, not including the tip. How

many miles was the taxi ride?

09

Answers

Equivalent fractions are those that, despite their visual differences, reflect the same value. we consumed half of a cake, for instance, if you have one, divide it into two equal pieces, and then eat one of the pieces.

what is fraction?

Any number of equal portions, or parts of a whole, are described by fractions. Fractions in standard English indicate the number of pieces of a specific size. 8, 3/4 of .Part of an entire is a fraction. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.

If the denominators differ, similar fractions with a common denominator must be used. This requires figuring out the LCM of the two denominators. To be used as a denominator in fractions with various denominators, rename the fractions with a similar denominator.

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26. Pregnancy length The length of human pregnancies from conception to birth
follows a Normal distribution with mean 266 days and standard deviation 16 days.
Choose a pregnant woman at random. Let X = the length of her pregnancy.
(a) Find P(X2 240) and interpret the result.
(b) What is P(X> 240)? Explain.
(c) Find the value of c such that P(X ≥ c) = 0.20. Show your work.

Answers

There is a chance (probability) of about 94.84% that the pregnancy last at least 240 days and P (X ≥ 240) = 0.9484 and the  the value of c such that P(X ≥ c) = 0.20 is 279.44

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,

Given that Mean (μ) = 266

and Standard deviation(σ) = 16

The z-score is the value decreased by the mean divided by the standard deviation:

z = (x−μ)/σ = (240−266)/16

≈−1.63

Determine the corresponding probability using the normal probability table in the appendix:

P (X ≥ 240)

= 1 - P (X < 240)

= 1 - P(Z < -1.63)

= 1 - 0.0516

=0.9484

(a) There is a chance of about 94.84% that the pregnancy last at least 240 days

(b) P (X ≥ 240) = 0.9484

(C) Given that 20% is greater than z, then we know that 80% or 0.80 is smaller than z.

The area of 0.7995 is closest to 0.8, and it is located in the row 0.8 and column .04

thus, the z-value is z=0.84.

x = μ+zσ = 266+0.84*(16 )

=279.44

The  the value of c such that P(X ≥ c) = 0.20 is 279.44

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There is a chance (probability) of about 94.84% that the pregnancy last at least 240 days and P (X ≥ 240) = 0.9484 and the  the value of c such that P(X ≥ c) = 0.20 is 279.44

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,

Given that Mean (μ) = 266

and Standard deviation(σ) = 16

The z-score is the value decreased by the mean divided by the standard deviation:

z = (x−μ)/σ = (240−266)/16

≈−1.63

Determine the corresponding probability using the normal probability table in the appendix:

P (X ≥ 240)

= 1 - P (X < 240)

= 1 - P(Z < -1.63)

= 1 - 0.0516

=0.9484

(a) There is a chance of about 94.84% that the pregnancy last at least 240 days

(b) P (X ≥ 240) = 0.9484

(C) Given that 20% is greater than z, then we know that 80% or 0.80 is smaller than z.

The area of 0.7995 is closest to 0.8, and it is located in the row 0.8 and column .04

thus, the z-value is z=0.84.

x = μ+zσ = 266+0.84*(16 )

=279.44

The  the value of c such that P(X ≥ c) = 0.20 is 279.44

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Alyssa's den is 8 feet longer than it is wide. If the​ den's area is 425 square​ feet, what are the dimensions of the​ room?

Answers

The dimensions of the room when Alyssa's den is 8 feet longer than it is wide are 15cm as 23cm.

How to illustrate the equation?

An equation simply means the statement that shows the relationship between the variables given. It has an equal sign to denote this.

Let the width of the den be x.

The length of the den is x+8.

We can set up the equation x*(x+8)=425 to represent the area of the den.

We can solve this equation by factoring it as x² + 8x =425.

x² + 23x - 15x - 425

x(x + 23) - 15(x + 23)

(x - 15)(x + 23)

Either way, we find that the width of the den is 15 feet and the length is 23 feet.

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PLS HELP ASAP THANK YOU

Answers

Answer:

PLS HELP ASAP THANK YOU

I am always there to help you

asked your question

hope it is helpful to you

Answer:

ok

Step-by-step explanation:

Mrs. Johnson lets her students choose between two word problems:
Problem A: If you are digging for dinosaurs and need to fence off your dig site, what's the biggest site you can fence off with 40 ft. of fence?
Problem B: What is the largest area you can create with 20 inches of rope?
Mrs. Johnson finds a significant majority of her students chose to work Problem A. Which of the following is the most likely reason more students chose Problem A instead of Problem B?

Answers

The reason to choose problem B over A is simple -  it is more relatable to them.

Problem A involves dinosaurs, which may be more interesting to students than the abstract concept of creating an area with rope. Additionally, the use of feet as a unit of measurement in Problem A may be more familiar to students than inches.

Finding a number that represents the quantity of anything is called measurement. An accepted quantity that is used to represent a physical quantity is called a measurement unit. Let's learn about some of the standard units used to measure physical quantities.

The inch, foot, yard, and mile are the fundamental units of length and distance measurement in the English system. The rod, furlong, and chain are additional length units.

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Please help, I’ll give brainliest UwU

Answers

Answer:

your answer is B uwu have good day

Step-by-step explanation:

Which is greater, 1 2cup or 1 3cup? How much greater *fractions*

Answers

Answer:

Step-by-step explanation:

A half of a cup is greater than 1/3 of a cup. This is because if you convert the fractions to the nearest common denominator (6) you can see that 1/2 = 3/6 and 1/3 = 2/6, so 1/2 of a cup is greater.

I hoped this helped!!

Help please!!No links!!
3. Solve the following.
a) This railway car is 320 cm in diameter and 17.2 m long.
Calculate its volume of fuel it can transport in liters. [Hint: 1 m3 = 1,000 L]

Answers

Answer:

138330.608 liters (about 138331)

Step-by-step explanation:

V = πr²h

r = 320 / 2 = 160cm = 1.6m

V = π * 1.6^2 * 17.2 = 138.330608 m³

138.330608m³ * 1000L = 138330.608 liters

If I=65 cm and j=33 cm, what is the length of k?

Answers

Answer:

sales forecast for Daft is 506 units. Digby wants to have an extra 10% of units on hand above and beyond their forecast in case sales are better than expected. (They would risk the possibility of excess inventory carrying charges rather than risk lost profits on a stock out.) Taking current inventory into account, what will Daft's Production After Adjustment have to be in order to have a 10% reserve of units available

help me cause I’m failing math

Answers

Answer:

9

Step-by-step explanation:

[tex] \frac{ - 3(16 - 35 + 4)}{5} \\ \\ = \frac{ - 3(20 - 35 )}{5} \\ \\ = \frac{ - 3( - 15 )}{5} \\ \\ = \frac{45}{5} \\ \\ = 9[/tex]

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex] \frac{ - 3(16 - 35 + 4)}{5} [/tex][tex] \frac{−3(20-35)}{5} [/tex][tex] \frac{−3 (−15)}{5} [/tex][tex] \frac{45}{5} [/tex][tex]9[/tex]Hope it is helpful....

Would it be a b c or d? :))

Answers

Answer: x = 12 * tan24

Step-by-step explanation:

We're going to use tan because we know one of the angles which is 24°. We also know the leg opposite of that angle, and the leg adjacent to that angle. Using that information, the best option would be tan.

Tan = opposite / adjacent, so substitute everything into that equation

tan24° = [tex]\frac{x}{12}[/tex]

12 × tan24° = x   (move the 12 from the right side to the left side by multiplying)

The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are given in the table.


Using technology, what is the slope of the least-squares regression line and what is its interpretation?


A) The slope is 1. 98, which means for each additional inch in height, the child’s weight will increase by 1. 98 pounds.


B) The slope is 1. 98, which means for each additional inch in height, the child’s weight is predicted to increase by 1. 98 pounds.


C) The slope is 0. 50, which means for each additional pound in weight, the child’s height will increase by 0. 5 inches.


D) The slope is 0. 50, which means for each additional pound in weight, the child’s height is predicted to increase by 0. 5 inches

Answers

Using the slope of the least-squares regression line, the interpretation will be: C) The slope is 0. 50, which means for each additional pound in weight, the child’s height will increase by 0. 5 inches.

A linear approach is linear regression, which is used to represent the relationship between a scalar answer and one or more explanatory factors in statistics. When there are many explanatory factors, multiple linear regression is employed; otherwise, simple linear regression is utilised. It is possible to predict the value of one variable using linear regression analysis and the value of another variable.

Predicting the dependent variable is what you want to do. The variable you are using to anticipate the value of the other variable is the one you are utilising as an independent variable. Lines of best fit are another name for regression lines. To demonstrate how several graph points might be connected, a line of best fit is used.

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carmen has 92 kilograms of clay. she has 5 students in her art class. how much clay does each student get

Answers

Answer:

18.4 kg of clay

Step-by-step explanation:

92 kg for 5 students
=> 92 : 5 = 18,4 kg for 1 student

Answer: 18.4 kg

Step-by-step explanation:

DATA :

total mass of clay = 92 kg

total students = 5

how much clay does each student get?

SOLUTION:

assuming that each student got equal amount of clay, we are simply going to divide ⇒92 by 5.

⇒92 ÷ 5

⇒18.4 kg ANSWER

hope that helps...

1
The product of 3 and the sum of r and 1 equals 15.
Construct an equation and find the value of x.​

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

r = 4

Step-by-step explanation:

product means multiply , so

3(r + 1) = 15 ← is the equation

Divide both sides by 3

r + 1 = 5 ( subtract 1 from both sides )

r = 4

PLEASE HELP WILL GIVE BRAINLIEST! Find the volume of the solid. Round to the hundredths, if necessary.

Answers

Answer:

140 cubic cm

Step-by-step explanation:

Find the area of the triangular base: [tex]\frac{3 \times 7.8}{2}[/tex] = 11.7.

Multiply 11.7 square cm with 12 cm to get 140.4 cubic cm.

I NEED THIS ASAP ILL GIVE 100 POINTS
1. Gas stations A. B. C, and G are located
along a straight lighway.
Station B is between stations: A
and c The distance frim station A to
station C is 22 miles. BC is 5 miles less than twice AB

Station C is between stations B and C. 4 miles from C. Find AC.

Answers

Answer: 3

Step-by-step explanation:You can't start at station 0 or 1, as there is not enough gas to travel to the next station.

Let's start at station 2 and fill up with 4 unit of gas. Your tank = 0 + 4 = 4

Travel to station 0. Your tank = 4 - 3 + 2 = 3

Travel to station 1. Your tank = 3 - 3 + 3 = 3

You cannot travel back to station 2, as it requires 4 unit of gas but you only have 3.

Therefore, you can't travel around the circuit once no matter where you start.

A drawer contains 9 red socks and 11 blue socks. It is dark and you are trying to grab a matching pair. How many socks do you need to take out to be sure of a matching pair

Answers

If we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.

What is Probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportional ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The likelihood that a specific occurrence will occur. (2): the proportion of the total number of available outcomes to the number of outcomes in an exhaustive set of equally probable options that result in a certain occurrence.

There are 9 red socks and 11 blue socks

So if we find a red/blue sock in the first turn,

The second can be both blue or red so we can't be sure it will be matching or not.

At third turn any one colour of sock will match with any of the two already pulled before if they are different.

So, if we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.

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How would the graph of y = 4x + 3 change if the y-intercept is changed to -2
А
The graph would move 5 units down.
B
The graph would move 5 units up.
с
The slope of the line would increase.
D
The slope of the line would decrease.

Answers

Answer:

А

The graph would move 5 units down.

Step-by-step explanation:

the answer is A
the distance from (0,3) to (0,-2) is 5units and the number decreased so it’s 5 units down

What is the answer to my question?
This is urgent! Please help.

Answers

Answer:

Hello! answer: 85

Step-by-step explanation:

Formula for square area: base × height

Formula for triangle area: base × height ÷ 2

6 × 5 = 30 30 ÷ 2 = 15 since theres 4 triangles I just multiply by 4 get all the triangles area so...

15 × 4 = 60 now the square is just 5 × 5 so... 5 × 5 = 25 now we just add these up for the answer so... 60 + 25 = 85 therefore the surface area is 85 hope that helps!

In the figure, a∥e, m∥n, and m∠2 = 112°.


What is m∠6?


Enter your answer in the box

Answers

The measure of the angle ∠6 = 112°

What are parallel lines?

Parallel lines are two or more lines that are always the same distance apart and never meet, no matter how far they are extended. They are coplanar lines that do not intersect or cross each other, and they have the same direction.

As given

a∥e, m∥n, and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m are transversal.

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Hence, the measure of the angle ∠6 = 112°

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The measure of the angle ∠6 = 112°

What are parallel lines?

Parallel lines are two or more lines that are always the same distance apart and never meet, no matter how far they are extended. They are coplanar lines that do not intersect or cross each other, and they have the same direction.

As given

a∥e, m∥n, and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called a transversal.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m are transversal.

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Hence, the measure of the angle ∠6 = 112°

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85(83-27)=
A. 4,670
B. 4,760
C. 4,860
D. 4,960

Answers

Answer:

4,760

Step-by-step explanation:

PEMDAS: (83 - 27) = 56

85 x 56 = 4,760

Answer:

A. 4,670

Step-by-step explanation:

Subtract 83 and 27

83-27= 56

Multiply 56 and 85

85(56)= 4,670

Which is A

Hope this helps!

In an equation, x represents the total number of cubic units in a box that is 5 units long, 5 units wide, and 5 units high. Which equation can be used to find the value of x?

A.
[tex] {x}^{3} = 125[/tex]

B.
[tex] {x}^{3} = 15[/tex]

C.
[tex] \sqrt{x} = 5[/tex]
D.
[tex] \sqrt[3]{x} = 5[/tex]

Answers

Answer:

I think its A.

Step-by-step explanation:

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Please help ASAP .... Find the value of x. The answer is 32 I just need help showing my work. Why was Spanish taught in schools in north Georgia?They needed to teach the children of the immigrant workers.They had too many teachers of the other languages.They wanted to help the locals learn more languages.It was the required language for the state of Georgia. *LOOK AT PICTURE*A) 8.45 inB) 3.125 inC) 6.25 inD) 62.5 in When charging by induction using grounding, if a negative rod is used, the object will acquire a ______ charge Why, using material from Module 32, can people with anterograde amnesia still learn new nonverbal tasks what is life? can you tell me a 700-word english essay? Do adults blame young people for the bad things that another adult does to them? What is wrong with this thinking? What are the 4 main elements of the international business environment? The primary evidence that our Sun is a third-, fourth-, or fifth-generation star comes from the fact that our ________. One of the major advantages of language is its flexibility.Please select the best answer from the choices providedT/F Which belief holds that there is only one God, but God has many different faces? Who decides in a free enterprise system what products and services are provided? Find and interpret the average rate of change.Time (in months)Balance0 1 2 3 4 5 6$250 $234 $220 $202 $189 $171 $1573. The table shows the balancein Sonia's bank account over6 months. Find and interpretthe average rate of changeduring this time period. What 3 things did Lenin promise? draw the graph y = 2x + 1 Find RS, WILL GIVE BRAINLIEST!!!! Due Today! Type I motor units could best be described by which of the following in comparison to type II motor units Emotion and feeling were a important source of music inspiration during what period? Solve for the missing side indcate Round any answers to the nearest tenth