The measured width of the office is 30mm. If the scale of 1:800 is used, calculate the actual width of the building in metres

Answers

Answer 1

Answer:

To calculate the actual width of the building in meters, given the measured width of 30mm and a scale of 1:800, we can use the concept of proportions.

Since 1 unit on the scale represents 800 units in reality, we can set up the following proportion:

1 unit on the scale / 800 units in reality = 30mm / x meters

To solve for x (the actual width of the building in meters), we can cross-multiply and solve for x:

1 * x = 800 * 30mm

x = (800 * 30mm) / 1

Now, let's convert the width from millimeters to meters:

x = (800 * 30) / 1000

x = 24 meters

Therefore, the actual width of the building is 24 meters.

Step-by-step explanation:


Related Questions

ditermine the maximum value of y=2x^2-36x+130

Answers

Answer:

dsffoppo

Step-by-step explanation:

sg785 suuwooo

What is the value of the expression?

1/4 times 0.8

A) 0.02
B) 0.2
C) 0.32
D)3.2

Answers

Answer:

B) 0.2

Step-by-step explanation:

1/4 as a decimal 0.25

0.25 x 0.8 = 0.2!

c:

Answer:

BEEP BEEP..... ITS B!!!!

LOL

I am serious tho it is B!

The study of statistics rests on what two major​ concepts? A) Data and Context B) Variation and Number C) Variation and Data D) Average and Variation.

Answers

The study of statistics rests on two major​ concepts:

Variation and Data.

Correct option is C.

What is statistics?

Statistics is simply defined as the study and manipulation of data. Statistics deals with the analysis and computation of numerical data.

Given,

The study of statistics rests on what two major​ concepts:

Variance and Data

The basics of statistics include the measure of central tendency and the measure of variation. The central tendencies are mean, median and mode and variation, comprise variance and standard deviation.

Mean is the average of the observations. Median is the central value when observations are arranged in order. The mode determines the most frequent observations in a data set.

Hence, Variation and Data are two major concepts, on which study of statistics rely.

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5k-3(2k-2/3)-9=0 what is equal to k

Answers

\(5k - 6k + 2 - 9 = 0 \\ - k - 7 = 0 \\ - k = 7 \\ \frac{ - k}{ - 1} = \frac{7}{ - 1} \\ k = - 7\)

ATTACHED IS THE SOLUTION

What are the measures of ∠1 and ∠2?

What are the measures of 1 and 2?

Answers

The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

What is angle?

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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The diagonals of parallelogram abcd intersect at point e. to prove that bae= dce, all of the following could be used, except for which

a.the sum of measures of the interior angles of abcd is 360 degrees
b. abc = cda by sss
c. abc = cde by sss
d. given two parallel lines by transversal, alternates interior angles are congruent.

Answers

The only option that cannot be used to prove that the diagonals of parallelogram abcd intersect at point e is; Option C

How to determine quadrilateral proof?

A) The sum of the interior angles of any quadrilateral is 360° and so this is true about the parallelogram.

B) AB = CD and BC = DA from opposite sides of a parallelogram are equal. Also AC = CA because of reflexive property of congruence. Thus, ∠ABC ≅ ∠CDA

C) This is not true because ∠ABC ≅ ∠CDA instead of ∠ABC ≅ ∠CDE.

D) This is true because of the definition of a transversal.

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What is 7.1093 round to the nearest hundredth?

Answers

To the nearest tenth, 7.1093 becomes 7.10. In this instance, the thousandths place digit is 3, which is lower than 5.

Look at the fourth digit after the decimal point, which is the digit in the thousandths place, and round 7.1093 to the closest hundredth. In this instance, the thousandths place digit is 3, which is lower than 5.

The hundredths place must be rounded down since the digit in the thousandths place is less than 5. So, 7.10 is the result when the number is rounded to the nearest hundredth. Look at the fourth digit after the decimal point, which is the digit in the thousandths place, and round 7.1093 to the closest hundredth. In this instance, the thousandths place digit is 3, which is lower than 5.

So therefore, to the nearest tenth, 7.1093 becomes 7.10.

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food safety guidlines recommend that a beef rib roast should cook for 23 minutes per pound based on 325f oven setting. how many hours should it take to cook a 5.17 pound roast?

Answers

It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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Piper invested $4,700 in an account paying an interest rate of 4. 8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 19 years?.

Answers

Assuming no deposits or withdrawals are made,  the amount in the  account after 19 years is: 11,454. 133.

How to find the amount in the account?

Using this formula

A = P(1+r/100)ⁿ

Where:

A = Amount =?

P = Principal = $4700

r = Interest rate =4.8%

n = the number of periods =19 years

Let plug in the formula

A = 4,700 (1 + 4.8/100)¹⁹

A = 4,700 (1 + 0.048)¹⁹

A = 4,700 (1.048)¹⁹

A = $11,454. 133

Therefore the amount is $11,454. 133.

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Given that z is a standard normal random variable, compute the following probabilities. calculate P(1

Answers

You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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PLEASE HELP WITH THIS I NEED HELP PLEASE ANYONE!!!!!!!!

How much money does Ed earn in interest after 16 years if he deposits $600 dollars in an account that pays 2.75% annual simple interest?

A.$16.50
B.$336
C.$264
D.$864

Answers

The answer is $16.50

is 6 greater than 0.06 and 0.006

Answers

Answer:

Yes, 6 is greater then 0.06 and 0.006

Step-by-step explanation:

6 = 6.00

and both 0.06 and 0.006 are not even a whole number

Answer: Yes it is

Step-by-step explanation:

6>0.06 and 6 >0.006

The number of patients in a clinic in the past 7 months are: 593, 464, 618, 765, 553, 731, 647 What is the value of MAPE (in percent) if we use a four-month moving average method? Use at least 4 decimal places.

Answers

The Mean Absolute Percentage Error (MAPE), using a four-month moving average method and the given patient data (593, 464, 618, 765, 553, 731, 647), is approximately [rounded MAPE value with at least 4 decimal places] percent.

To calculate the MAPE using a four-month moving average method, we first calculate the moving averages for each group of four consecutive months. Starting with the first four months (593, 464, 618, 765), we calculate the average and place it as the first moving average. Then we shift the window by one month and calculate the average for the next four months (464, 618, 765, 553), and continue this process until we reach the last group of four months (731, 647).

Next, we calculate the absolute percentage errors between each actual value and its corresponding moving average. The absolute percentage error for each month is given by |(Actual Value - Moving Average) / Actual Value| * 100. We sum up all these absolute percentage errors and divide the total by the number of data points to obtain the MAPE.

Performing these calculations using the given patient data will yield the MAPE value, rounded to at least 4 decimal places. This MAPE value represents the average percentage deviation of the actual values from the moving averages and provides a measure of the accuracy of the forecasted values in relation to the actual values.

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Help me pls ........................
.............................

Help me pls .....................................................

Answers

A simple sentence contains one independent clause. A compound sentence contains more than one! Put another way: a simple sentence contains a subject and a predicate, but a compound sentence contains more than one subject and more than one predicate.

Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3

Answers

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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10. dice when a pair of dice is rolled, what is the probability tha tthe sum of the dice is 5, given that exactly one of the dice shows a 3?

Answers

The probability sum of the dice is 2/11.

Let A be the event that the sum of dots is 5, then

A={(1,4), (2,3), (3,2), (4,1)}

n(A)=4

And, B is the event that one die shows a "one"

B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}

n(B)=11

The Event that some of the dots are five and one of the die shows "one".

A intersection B = {(1,4), (4,1)}

Since n(A) = 36 (thirty-six possible samples of two dice)

P(A)=4/36

P(B)=11/36

P(A intersection B)=2/36

So, the required probability is

P(A|B)=P(A intersection B)/P(B) =2/11

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What is the area of a circle if the circumference is 29

Answers

Answer:

67 square units

Step-by-step explanation:

Circumference/pi = diameter

29/3.14 = 9.24

Radius = 9.24/2 = 4.62

A = pi * r^2

A = 3.14 * 4.62^2 = 67 square units

The parent function of graph C below is:

A) y=b^x
B) y=|x|
C) y=sqrtx
D) y=x^3

The parent function of graph C below is:A) y=b^xB) y=|x|C) y=sqrtxD) y=x^3

Answers

Answer: Well, it’s obviously not the first one. But if you could scroll down, so I could see the other graphs, that would be amazing. It would also help me answer the question!

Step-by-step explanation:

change 2√3 to decimal fraction​

Answers

Answer: 0.66666666666667

Step-by-step explanation:

2 divided by 3

Answer:

3.4641

Hope this helps you :)

Please help me
It’s Halloween lol

Please help meIts Halloween lol

Answers

Answer:

The exterior angle is 95 degrees.

Step-by-step explanation:

Statement Used : The exterior angle of a triangle is equal to the sum of the two opposite interior angles.  ( see attached image )

The exterior angle is positioned at the question mark and the two opposite interior angles are ∠D and ∠E

Which means ? = ∠D + ∠E

We are given that ∠D = 45 and ∠E = 50

So , ? = 45 + 50 = 95°

Please help meIts Halloween lol

a runner ran 2/3 of 5 km race in 21 minutes how long does it take to run the entire race

Answers

Answer:

31.5 min

Step-by-step explanation:

you divide 21 in hald to get 10.5 which is 1/3 to multiply by 3 for a whole race getting 31.5

how to asses the integer rules

Answers

Gaining a full grasp of the regulations relating to integers requires insight and precision. To get started, here's an overview of some essential tips:

how to asses the integer rules

Comprehending Integers: Essentially, integers are entire numbers (whether negative, positive or zero) that don't encompass any fractions or decimals.

Familiarizing Yourself with Basic Operations: The four primary operations when it comes to maniputating integers include subtraction, addition, multiplication, and division.

Absorbing Diverse Guidelines: There are individual protocols for each operation, such as rules for adding and subtracting integers having disparate signs, as well as guidance for multiplying and dividing integers boasting diverse signs.

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If a random variable that i normally ditributed ha a mean of 25 and a tandard deviation of 3, convert the given value to a z-core. A. X = 23 b. X = 33 c. X = 19 d. X = 45

Answers

The required value to a z-core are a)-1, b) 2, c) -4, d) 5.

What is standard deviations?

Standard deviations measure how far a set of data points is spread out from the mean, or average, value. Standard deviation is a measure of the spread or variation in a set of data values. It measures how far a set of numbers are spread out from their average value. The larger the standard deviation, the more spread out the data is. Standard deviation is used to measure the variability of a data set and is a key concept in statistics.

According to question:

The Z-score is calculated by subtracting the mean from the given value and dividing the result by the standard deviation.

If a random variable that i normally ditributed ha a mean of 25 and a standard deviation of 3,

convert the given value to a z-score then

a. X = 23 => Z-score = -1;

b. X = 33 => Z-score = 2;

c. X = 19 => Z-score = -4;

d. X = 45 => Z-score = 5.

Thus required z-score values are a)-1, b) 2, c) -4, d) 5.

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Can someone please help me asap I’ll mark brainlist!!!!!

Can someone please help me asap Ill mark brainlist!!!!!

Answers

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

No

Step-by-step explanation:

32/4 = 8

72/10 = 7.2

if she were to average that same commission each week how much would she make in commissions in a year treating a year as having exactly 52 weeks

Answers

I thinks it’s 359424
I’m so sorry if this is wrong I tried!

in either hypothesis test scenario above...suppose we sampled twice as many students (460 instead of 230), but found the same sample proportion (a phat of 0.2783 for scenario 3 or a phat of 0.5652 for scenario 4). would the resulting p-value increase, decrease, or stay the same as the one computed in exercise 6? explain your answer.

Answers

The resulting p-value would decrease in both scenarios if we sampled twice as many students but found the same sample proportion as before.

The p-value is the probability of observing a sample proportion as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true. When we increase the sample size, the standard error of the sample proportion decreases, which means that the sample proportion becomes more representative of the population proportion.

In other words, the larger the sample size, the more accurate the estimate of the population parameter (in this case, the proportion of students who support the change). As a result, the difference between the sample proportion and the hypothesized population proportion (under the null hypothesis) is likely to be smaller, leading to a smaller p-value.

To compute the p-value, we use the test statistic, which is a measure of how many standard errors the sample proportion is from the hypothesized population proportion under the null hypothesis. When we increase the sample size, the test statistic becomes larger, which means that the p-value becomes smaller. Therefore, the p-value would decrease if we sample twice as many students but find the same sample proportion as in exercise 6.

In summary, increasing the sample size while keeping the sample proportion constant would result in a smaller p-value, indicating stronger evidence against the null hypothesis.

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Find the value of the following expression:
(28.5-5. 199-2.
)
228

Answers

Answer with step-by-step:

(28.-5.199-2.)228

Subtract 5.199 out of 28 to get 22.801

(28.-5.199-2.) * 228

Subtract 2 of 22.801 to get 20.801

20.80 1 * 228

Multiply 20.801 and 228 to get 4742.628

4742.628

The answer if you need to factor it:

3*11*19*31*61/2*5^3 = 4742 157/250 = 4742.628

PLS HELP FOR 100 POINTS PLS

PLS HELP FOR 100 POINTS PLS

Answers

Answer:

it is 3

Step-by-step explanation:

I don't know I would

Answer:

it is 3

Step-by-step explanation:

It Basile 9 divide by 4

(x - 3)(x + 5) = 0
Solve for X

Answers

Answer:

x= 3,-5

Step-by-step explanation:

Answer: x=3, -5

Step-by-step explanation: Solve for

x

x

by simplifying both sides of the equation, then isolating the variable.

4 + 4 + 4 x 4 - 4
use pemdas please

4 + 4 + 4 x 4 - 4use pemdas please

Answers

Answer:

8 ÷ 2 (2+2)

Step-by-step explanation:

im smart

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