The scale of a map is 1:4 000 000. Hint: 1:4 000 000 means that 1cm on the map = 4 000 000 on the ground. The distance between Leeds and London on this map is 8.125cm. Calculate the actual distance between Leeds and London. Give your answer in kilometres.

Answers

Answer 1

Answer:

325 km

Step-by-step explanation:

Given the scale :

1 : 4 ,000, 000

1cm measure in map = 4000000 on the ground

From the map :

Distance between Leeds and London = 8.125 cm

The actual distance on ground can be calculated thus :

1cm = 4,000,000

8.125cm = x

Cross multiply

x = 32500000 cm

Converting to kilometers :

1 km = 100,000 cm

x = 32500000

Cross multiply

100,000x = 32500000

x = 32500000 / 100000

x = 325

Hence, actual distance between Leeds and London is 325 km


Related Questions

which is more 5 feet or 59 in​

Answers

5 feet is 12*5 which is 60
59 is less than 60
Do five feet is more

Answer:

60 inches < 59 inches

Step-by-step explanation:

1 foot = 12 inches

5 feet = 60 inches

60 inches < 59 inches

Find the value of x.

Find the value of x.

Answers

Answer:71

Step-by-step explanation:

find all solutions of the equation in the interval (0 2π) : 2sinθ 1=0

Answers

The solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π) are θ = π/6 and θ = 13π/6.

To find all solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π), we can solve for θ by isolating the sine term and then using inverse sine (arcsin) to find the angles.

Start with the equation: 2sinθ - 1 = 0.

Add 1 to both sides of the equation: 2sinθ = 1.

Divide both sides by 2: sinθ = 1/2.

Take the inverse sine (arcsin) of both sides: θ = arcsin(1/2).

The inverse sine (arcsin) of 1/2 is π/6, so we have one solution θ = π/6.

However, we need to find all solutions in the interval (0, 2π). Since the sine function has a periodicity of 2π, we can add 2π to the solution to find additional solutions.

Adding 2π to π/6, we get θ = π/6 + 2π = π/6, 13π/6.

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Given the regression equation y-hat = 15.6 - 3.8x, the predicted y for x = 3 is ___________.

Answers

Answer:  4.2

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

A rectangle has the area of 60 inch2. What can be its dimensions? Copy and fill in the chart.

Answers

A rectangle contains the area of 60 inch² then the dimension is as follows:

length × width

60 × 1

30 × 2

20 × 3

15 × 4

12 × 5

10 × 6

How to find the dimension of the rectangle?

The square inch unit provides the area. Given that the length and width of a rectangle are multiplied to determine its area, we can state that any pair of non-negative integers whose product is equal to 60 would be appropriate.

Area = length × Width

We can find those integer numbers for its dimensions:

(60 divisors)

width × length

60 × 1

30 × 2

20 × 3

15 × 4

12 × 5

10 × 6

length × width

60 × 1

30 × 2

20 × 3

15 × 4

12 × 5

10 × 6

And many other combinations for non integers like 40 × 1.5, 24 × 2.5 etc.

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A rectangle has the area of 60 inch2. What can be its dimensions? Copy and fill in the chart.

a water bottling facility has a mean bottling rate of 35.2 thousand bottles per hour with a standard deviation of 2.04 thousand bottles. a nearby cola bottling facility has a mean bottling rate of 26.9 thousand bottles per hour with a standard deviation of 1.51 thousand bottles. one wednesday from noon to 1:00 p.m., the water bottling facility bottled 37.4 thousand bottles of water, and the cola bottling facility bottled 28.8 thousand bottles of cola. which facility increased their efficiency more during that hour?

Answers

During that hour, the cola bottling facility increased their efficiency more compared to the water bottling facility.To determine which facility increased their efficiency more during that hour, we need to calculate the deviation from the mean for each facility.

For the water bottling facility, the deviation is calculated as:
(37.4 - 35.2) / 2.04 = 1.08
For the cola bottling facility, the deviation is calculated as:
(28.8 - 26.9) / 1.51 = 1.26
Since the deviation for the cola bottling facility is higher, this means that they had a larger increase in efficiency during that hour compared to the water bottling facility.
To determine which facility increased their efficiency more during that hour, we will calculate the number of standard deviations away from the mean for each facility's performance.
1. Calculate the deviations for each facility:
Water bottling facility:
Deviation = (Actual bottles - Mean bottles) / Standard deviation
Deviation = (37.4 - 35.2) / 2.04
Deviation ≈ 1.08
Cola bottling facility:
Deviation = (Actual bottles - Mean bottles) / Standard deviation
Deviation = (28.8 - 26.9) / 1.51
Deviation ≈ 1.26
2. Compare the deviations:
The cola bottling facility has a higher deviation (1.26) than the water bottling facility (1.08).
Conclusion:
During that hour, the cola bottling facility increased their efficiency more compared to the water bottling facility.

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please someone help 2 yards=_____feet

Answers

Answer:

3 feet in a yard, so the answer is 6

Step-by-step explanation:

2 yards x 3 feet in a yard = 6 feet

Answer:

6

Step-by-step explanation:

There are 3 feet in 1 yard, so in 2 yards there would be 6 feet.

Hope that helps!

and this too ?? anybody know how to do this ?

and this too ?? anybody know how to do this ?

Answers

Answer:

c

Step-by-step explanation:

44

mark as brainlist......

and this too ?? anybody know how to do this ?

Answer:

I think it will be C but sure it will be C hope that helps

marking brainlist please please please help me

marking brainlist please please please help me

Answers

Answer:

20

Step-by-step explanation:

Answer:

Just divide the banana length and the desired length.

8 / 0.4

= 80 / 4

= 20 bananas slices

Hope this help you

the cell phone company charges michael a late fee of $3.84 per day until the balance is paid. if michael is 8 days late what is the change in michael’s bank account

Answers

The answer would be $30.72 because 3.84 • 8 = $30.72

What is an important first step when building a theory?

Answers

\

Overall, building a theory is a complex process that requires careful planning, attention to detail, and a willingness to remain open to alternative explanations and interpretations.

An important first step when building a theory is to formulate a clear and testable research question or hypothesis. A research question or hypothesis is a statement that suggests a relationship between two or more variables, and it guides the development of the theory. The research question or hypothesis should be specific, measurable, and falsifiable, meaning that it can be tested and potentially proven false through empirical research. Once a clear research question or hypothesis has been formulated, the researcher can then begin to gather and analyze data to support or refute the theory.

Another important first step when building a theory is to conduct a comprehensive review of existing literature and research in the field. This review helps the researcher to identify gaps or inconsistencies in current knowledge and to develop a clear understanding of the state of the field. This step can also help the researcher to refine their research question or hypothesis, as well as to identify potential variables and relationships that may be relevant to the theory.

Another important step when building a theory is to select an appropriate research design and methodology that will allow for the systematic collection and analysis of data. The research design should be aligned with the research question or hypothesis, and should enable the researcher to collect high-quality data that can be analyzed using appropriate statistical or qualitative methods.

In addition, it is important to be mindful of potential biases that can impact the development of a theory, such as confirmation bias or researcher bias. It is important for the researcher to be objective and to consider all possible explanations for their data, rather than solely seeking out evidence that supports their hypothesis or preconceived ideas.

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assuming that no one is born on feb. 29 (leap day), how many people should be selected to guarantee that at least 7 were born on the same day, not considering the year?

Answers

The number of people that should be selected to guarantee that at least 6 were born on the same day are, 2190

What are the Worst Case Scenarios?

The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. This case can be used to determine the number of turns with would require to make sure the desired outcome is achieved.

The number of people that will ensure at least 7 people have their birthday one single day of a non-leap year (365 days) can be determined by considering that in the number of people picked in each trial, no two people have their birthday on the same day.

According to this process, if we pick 365 people, each one is born on a different day.

We repeat this selection 6 times, and the worst-case scenario is that on each day of the year, there are 6 people who are born on that day. The total number of people selected are

365×6 = 2190.

Now, as we select one more person, the number of people born on a day for one of the days in the year will increase to 7.

Hence, the number of people that should be selected to guarantee that at least 6 were born on the same day are, 2190

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Which expression has the same value as 37.4 - 54.9?

Which expression has the same value as 37.4 - 54.9?

Answers

Answer:

D

Step-by-step explanation:

In the original expression =  37.4 - 54.9 = -17.5

So, we have to solve all the equations but 1 of them has to equal to -17.5

A) -54.9 + (-37.4) = -92.3

   Remove parentheses

   = -54.9 - 37.4

Subtract the numbers

    -92.3

B) 54.9 - 37.4 = 17.5

Since 54.9 is greater than 37.4 just subtract normally

 4   14

  5  4.   9                < ------- Line up the decimal points like this

-  3  7.   4                <---------  Subtract the decimals

-----------------

   1   7   .    5       <---------- This is the final answer to B.                    

 

C)  37.4 - (- 54.9) = 92.3

   Change the sign to addition

        =37.4 + 54.9

  Add the numbers normally

  54.9

+ 37. 4

--------------

  92.3

D)  37.4 + (-54.9) = -17.5

   Change the sign to subtraction

      =    37.4 - 54.9

Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)

54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed  37.4 - 54.9 so in this case your answer should be

- 17.5)

37.4 - 54.9 = -17.5

Your final answer is D because it matches 37.4 - 54.9.

Hope this helps!

Answer: -54.9+(-37.4)

Step-by-step explanation:

Your final answer is D because it matches 37.4 - 54.9.

3. Snow falls early in the morning and stops. Then at noon, snow begins to fall again and accumulate at a
constant rate. The table shows the number Inches of snow on the ground as a function hours after noon.

Answers

Answer:

Could you please provide more information so I can help you with your problem?

Necesito ayuda por favor, lo tengo que entregar hoy :(((

Necesito ayuda por favor, lo tengo que entregar hoy :(((

Answers

Answer:

what umay di maintindihan

ANYONE HELP PLS THIS IS HARD PLSSS

ANYONE HELP PLS THIS IS HARD PLSSS

Answers

Answer:

90% sure it's the third option

Step-by-step explanation:

The third option is 100% correct.
Multiply all the coefficients by 1/3 (divide each coefficient by 3)

A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?

Answers

Answer:

The red marbles.

Step-by-step explanation:

It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.

HELP ASAP Determine if the triangles below are similar. If they are, give the rule that you used to determine similarity.

HELP ASAP Determine if the triangles below are similar. If they are, give the rule that you used to determine

Answers

Answer:

AA similarity

Step-by-step explanation:

Similar triangles:

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles are equal.

Similar triangles can be proved by any one of the rules, given below.

1) AA similarity

2) SAS similarity

3) SSS similarity

A represent angle and S denotes side.

  In ΔABC & ΔPQR,

                ∠A = ∠P           {Both the angles are marked by double curves}

                ∠B = ∠Q           {Both the angles are marked by single curve}

ΔABC ~ ΔPQR by AA similarity

HELP ASAP Determine if the triangles below are similar. If they are, give the rule that you used to determine

∠VTW≅∠UTW and ∠U≅∠V. Complete the proof that
VW

UW
.
T
U
V
W

Answers

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

In ΔFGH, f = 960 inches, g = 380 inches and h=820 inches. Find the measure of ∠F to the nearest degree.

Answers

Answer:

\(m\angle F\approx 100^{\circ}\)

Step-by-step explanation:

For any triangle, the Law of Cosines is given by \(c^2=a^2+b^2-2ab\cos C\), where all three variables are interchangeable.

Therefore, we have:

\(f^2=g^2+h^2-2gh\cos F,\\960^2=380^2+820^2-2(380)(820)\cos F,\\\cos F=-\frac{131}{779},\\F=\arccos(-\frac{131}{779})\approx \boxed{100^{\circ}}\)

Which is the odd number out of each list?

1. 16,32,40,52

2. 21,35, 62, 84

3. 24, 46, 84, 132

4. 18, 32, 48, 90

5. 16, 27, 54, 81

Answers

Answer:

1. none are odd

2. 21,35

3.none

4.none

5.27,81

Answers:

1. None (all even)

2. 21 & 35

3. None (all even)

4. None (all even)

5. 27 & 81

Please Mark Brainliest!

Solve the System of these Equations

Solve the System of these Equations
Solve the System of these Equations
Solve the System of these Equations
Solve the System of these Equations
Solve the System of these Equations

Answers

Answer:

y=-9/2, x=7

Step-by-step explanation:

You can solve this via substitution. First solve for x in terms of y in one of the equations given. Lets use the first one:

25+4y=x

Now plug 25+4y in for x in the second equation

3(25+4y)-2y=30

75+12y-2y=30

75+10y=30

10y=-45

y=-9/2

Plug this into the first equation:

25-x=-4(-9/2)

25-x=18

x=7

What is the approximate length of a diagonal of a square with a perimeter of 48 inches?

Answers

Answer:

diagonal length = 12√2 inches

Step-by-step explanation:

If the perimeter of the square is 48 inches, the length of one side is one fourth of that, or 12 inches.  The diagonal creates a 45-45-90 triangle with two 12-in legs; we are to find the length of the diagonal.  Using the Pythagorean Theorem, we get

12² + 12² = (diagonal length)², or 2(12²) =  (diagonal length)²

Taking the square root of both sides, we get:

diagonal length = 12√2 inches

These triangles
are congruent
by the triangle
congruence
postulate [? ]
A. SAS
B. SSS
C. Neither, they are not congruent

These trianglesare congruentby the trianglecongruencepostulate [? ]A. SASB. SSSC. Neither, they are not

Answers

Answer:

B-SAS

Step-by-step explanation:

Was right on acellus

Let x be a continuous random variable over [a, b] with probability density function f. Then the median of the x-values is that number m such that integral^m_a f(x)dx = 1/2. Find the median. f(x) = 1/242x, [0, 22] The median is m = .

Answers

The median for the given continuous random variable is m = ±6.65

Let x be a continuous random variable over [a, b] with probability density function f.

Then the median of the x-values is that number m such that integral^ma f(x)dx = 1/2.

Find the median.

Given, f(x) = 1/242x and [0,22].

To find the median, we need to find the number m such that integral^ma f(x)dx = 1/2.

Now, let's calculate the integral,

∫f(x)dx = ∫1/242xdx

= ln|x|/242 + C

Applying the limits,\(∫^m_0 f(x)dx = ∫^0_m f(x)dx\)

∴ln|m|/242 + C

= 1/2 × ∫\(^22_0 f(x)dx\)

= 1/2 × ∫\(^22_0 1/242xdx\)

= 1/2 [ln(22) - ln(0)]/242

Now, we need to find m such that ln|m|/242

= [ln(22) - ln(0)]/484

ln|m| = ln(22) - ln(0.5)

ln|m| = ln(22/0.5)

m = ± √(22/0.5)

[Since the range is given from 0 to 22]

m = ± 6.65

Hence, the median is m = ±6.65

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Using the process for desining a controller, convert the fsm you created for exercise 3.30 to a controllerm implementing the controller using a state register and logic gates

Answers

To convert the FSM (Finite State Machine) to a controller using a state register and logic gates, follow these steps:
1. Identify the states of the FSM: Review the FSM you created for exercise 3.30 and list down all the states it contains.


2. Design the state register: Create a state register that can store the different states of the FSM. You can use flip-flops or any other suitable storage device.

3. Implement the logic gates: Use logic gates (such as AND, OR, and NOT gates) to implement the transitions between different states. Connect the outputs of the logic gates to the inputs of the state register.

4. Connect the state register to the FSM: Connect the outputs of the state register to the inputs of the FSM to control its behavior based on the current state.

5. Test and verify: Test the controller by simulating different inputs and checking if it transitions between the states correctly according to the desired behavior of the original FSM.

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Solve 8x - 5y = 14 for y.

Answers

9 is y is the answer

Answer:

y=-14x/5+8x/5

Step-by-step explanation:

I’m honestly stuck on this for no reason

Im honestly stuck on this for no reason

Answers

Answer:

Box above 6: 5 | Box below 7: 6 | Box above 3: 2

Step-by-step explanation:

Answer:

8.5+27.64=36.14

Step-by-step explanation:

25/23 as a decimal rounded to the nearest hundredth

Answers

Answer:

1.09

Step-by-step explanation:

what is the missing variable?

what is the missing variable?

Answers

Answer:

42

Step-by-step explanation:

theres a pattern

1+1+1=3

5+5+5=15

10+10+10=30

14+14+14=42

Answer: 42 step-by-step explain
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