a rectangular room is 15ft long, 14ft wide and 8.0ft high. what is the length of the longest diagonal from one corner to another of the room​

Answers

Answer 1

Answer:

20.51ft

Step-by-step explanation:

Given data

Length= 15ft

Width= 14ft

Height= 8ft

Because we want to find the diagonal, let us use the Length and the width

We can get the diagonal by applying the Pythagoras theorem

z^2= x^2+y^2

z^2= 15^2+ 14^2

z^2= 225+ 196

z^2= 421

square both sides

z= √421

z=20.51 ft

Hence the diagonal is 20.51ft


Related Questions

A sample of 2,000 was sought to estimate the average achievement in science of fifth graders in a city’s public schools. The average fifth grade enrollment in the city’s elementary schools is 100 students. Thus, 20 schools were randomly selected and within each of those schools all fifth graders were tested. What sampling technique was used?

Answers

Answer:

"Clustering sampling" is the correct answer.

Step-by-step explanation:

If our entire demographic has been separated into segments or groupings, people employ clustering sampling. Those same groupings constitute diverse structurally and therefore are necessarily the same thing uniform.Researchers choose certain of the globular groupings, which are taken throughout the sampling one for each of the specified cluster centers.

What is the value of this number in decimal form?
Three hundred sixty-seven thousandths.

Answers

The value of that number is 0.367

Step-by-step explanation:

the other answer is correct.

just for a little bit of explanation :

the first position after the decimal point is for tenths. the second position for hundredths. the third for thousandths. then ten-thousandths, hundred-thousandths, millionths, ...

so, you would need 1000 thousandths to have a 1 at the first position before the decimal point. everything less than that has to be a number after the decimal point. and thousandths have to end (writing from left to right) with the thousandths-position. hundredths with the hundredths-position and so on.

Diameter 24.8 what is radius

Answers

Answer:

12.4

Step-by-step explanation:

to get radius divide diameter by 2

If the first hill is 20 cm high, the second hill is 0 cm high, and the last hill is 0 cm high, how long does it take the 50 g car to reach the egg?

Answers

25min I think don’t quote me

hich is the graph of the linear equation x – 2y = 6?
On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, 3) and (6, 0).

Answers

Answer:

B or graph 2

Step-by-step explanation:

when y = 0 then x = 6

when x = 0 then y = -3

find those points

Answer: b

question

hich is the graph of the linear equation x – 2y = 6?

On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).

On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).

On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).

On a coordinate plane, a line goes through points (0, 3) and (6, 0).

PLEASE HELP !!!! WILL MARK BRAINLIEST

Answers

The answer is 0 and 2

I don't get it please Help me

Answers

Step-by-step explanation:

A. 2(x+4)=2x+8

=G

B. 3(2x-1)=6x-3

=I

C. 4(x+2)=4x+8

=J

D. 2(x+3)=2x+6

=K

E. 3(4x+1)=12x+3

=H

A - G

B - I

C - J

D - K

E - H

HOPE IT HELP

two factor of a number are 5 and 6 .what is the number​

Answers

Answer:

30

Step-by-step explanation:

Have a nice day ;]

Answer:

The number is obviously 30 as the prime factors of 30 are 5 and 6 again 5 and 6 can also be factors of any multiples of 30 such as 60 180 900

Hope it helps

4(m + 3) = 18

write the solution to the equation ​

Answers

Answer:

1.5

Step-by-step explanation:

Let's begin by dividing each side by 4.

You get 18/4 or 4.5.

m+3=4.5

Now subtract 3 to each side.

m=1.5

Answer:

[tex]4(m + 3) = 18 \\ 2(m + 3) = 9 \\ 2m + 6 = 9 \\ 2m = 3 \\ m = \frac{3}{2} \\ m = 1.5[/tex]

Write the decimal number that has the specified place values.
3 ones, 0 hundredths, 5 tens, 2 hundreds, 9 tenths
The number is

Answers

Answer:

253.90

Step-by-step explanation:

what is this equation, equivalent to c(x)=(x+6)^2+14

Answers

Answer:  x^2+12x+50

Work Shown:

c(x) = (x+6)^2+14

c(x) = (x+6)(x+6)+14

c(x) = x(x+6)+6(x+6)+14

c(x) = x^2+6x+6x+36+14

c(x) = x^2+12x+50

cu ochii iesiti din orbite propozitie dau coroana

Answers

Answer:

idfk lol hehe hope this helps

Step-by-step explanation:

The local pavilion is hosting an outdoor concert. There are both lawn seats and reserved seating available. Lawn seats cost
$10, while reserved seats are $25. A sponsoring business has given the school $375 to purchase seats. If the school
purchased 30 seats using all of the money, how many lawn seats and how many reserved seats did the sponsoring business
purchase?

The business purchased ____ lawn seats and _______ reserved seats

Answers

Let the lawn seats purchased by the business be : L

Let the reserved seats purchased by the business be : R

Given :

  Cost of each lawn seat : $10

  Cost of each reserved seat : $25

  Sponsoring business has given the $375 to purchase seats

  School purchased 30 seats using all of the money

⇒   L + R = 30         ---------- (1)

⇒   10L + 25R = 375             ----------- (2)

Multiplying equation (1) with 10, we get :

⇒   10L + 10R = 300       ------------- (3)

Subtracting equation (3) from equation (2), we get :

⇒   10L + 25R - (10L - 10R) = 375 - 300

⇒   25R - 10R = 75

⇒   15R = 75

⇒   R = 5

Substituting R = 5 in equation (1), we get :

⇒   L + 5 = 30

⇒   L = 25

Answer: The Business purchased 25 lawn seats and 5 reserved seats

Given the equation of the circle what is the radius? (x-9)2+ (y+5)2 = 36

Answers

Answer:

6

Step-by-step explanation:

In a circle equation, the radius can be found by taking the square root of the r² value.

In this equation, the r² value is 36.

Take the square root:

√36

= 6

So, the radius is 6.

Mrs. Miller claims that 10% of the marbles in the jar are purple. Do the students have statistically significant evidence that the true proportion of purple marbles in the jar is greater than 10%? Use the sampling distribution to help answer the question.

Answers

Answer: C: Yes

Step-by-step explanation:

C on edge 2021

Answer:

The answer is C: Yes, p hat = 0.22 or greater only occurred in 1% of samples in the simulation. Because this is less than 5%, they have statistically significant evidence that the true proportion of purple marbles in the jar is greater than 10%.

Step-by-step explanation:

I just did it.

4) Suppose you want to buy a car that costs $11,800. The expected depreciation of the car is 35% per year.
* What percentage is the car worth each year it depreciates from the previous year?
b. Find the depreciated value of the car after 6 years.
Show work please!!!!

Answers

Answer:

$889.94 after six years

Step-by-step explanation:

The equation is I=P(1-r)^t so after six years it would be worth $889.94. Every year the value depreciates by $4,130.

Draw a negative linear relationship. Label it R. Along a curve showing a linear​ relationship, how does y change for each increase in x of one​ unit? For each increase in x of one​ unit, y​ _______.

Answers

Answer:

For each unit increase in x ; y decreases by 2 units.

Step-by-step explanation:

A negative relationship between two variables, X and Y is depicted d on a scatter plot by a negative trend line or slope. A negative relationship is interpreted as the decrease in variable X as Y increases or vice versa.

The scatter plot attached is related by the linear model :

y = - 2x + 110

Here, the slope of the plot is - 2 ; this means that for every unit increase in x - axis, then the y values decrease by 2 units.

find the difference of the value of the two 6's in the number 6060 ?​

Answers

Answer:

5940

Step-by-step explanation:

The first '6' represents '6000' and the second represents '60.'

Thus the difference of the values of the two '6s' is 6000 - 60 = 5940.

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a height of 3 1/2
inches. What is the surface area?

Answers

Answer:

[tex]Area = 138in^2[/tex]

Step-by-step explanation:

Given

[tex]L = 9; W =3; H =3\frac{1}{2}[/tex]

Required

The surface area

This is calculated as:

[tex]Area = 2(LW + LH + WH)[/tex]

So:

[tex]Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})[/tex]

[tex]Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})[/tex]

[tex]Area = 2*69[/tex]

[tex]Area = 138in^2[/tex]

The graph shows the function f(x) = 3^x what is the value of x when f(x) =9

Answers

Answer:

2

Step-by-step explanation:

Substitute 9 in for f(x),

9 = 3ˣ

x = 2.


Using the image above, set up the equation that would help to determine the value
of angle x.

Answers

Answer:

the equation is sin−1 (8/11)

A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many different permutations of these letters can be made if no letter is used more than once?

Answers

Answer:

60 different permutations of these letters can be made.

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

How many different permutations of these letters can be made if no letter is used more than once?

3 letters from a set of 5. So

[tex]P_{(5,3)} = \frac{5!}{(5-3)!} = \frac{5!}{2!} = 5*4*3 = 60[/tex]

60 different permutations of these letters can be made.

what would be the integer for this problem
???+-8=-2

Answers

Answer:10

Step-by-step explanation:

10 because 10 minus 8 would be 2

Answer: 6 because 6+-8= -2
Or 6-8= -2

PLEASE HELP ASAP WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER

Answers

Answer:

<V = 40

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

20x = 60+7x+5

Combine like terms

20x = 7x+65

Subtract 7x from each side

20x -7x = 7x+65-7x

13x = 65

Divide each side by 13

13x/13 = 65/13

x = 5

<v = 7x+5 = 7*5+5 = 35+5 = 40

answer:

it's U = 60°

V = 50°

T = 70°

A retail brand plans to open its stores across all cities with a population of more than one million. To prepare for this, it refers to the past year's census done by the government.
Which statement accurately describes the type of data the retail brand is using?
A. The retail brand is relying on raw data because it has to ask for permission to use the census.
B. The retail brand is relying on available data because customers provide information to the census.
C. The census is an example of available data because the government provides it.
D. The census is an example of raw data because the government provides it.

Answers

Answer: C. The census is an example of available data because the government provides it.

Step-by-step explanation:

The statement that accurately describes the type of data the retail brand is using is that census is an example of available data because the government provides it.

Acensus is referred to as an official survey of a country's population which is done in order to know the number of people living there and to know the details of the people like their ages, gender etc.

Use the accompanying data set to complete the following actions.
a. Find the quartiles.
b. Find the interquartile range.
c. Identify any outliers.
55 56 61 58 63 58 65 59 64 58 54 63 63 57 75

Find the quartiles.
First Q1 is _
Second Q2 is _
Third Q3 is_

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Ordered data:

54, 55, 56, 57, 58, 58, 58, 59, 61, 63, 63, 63, 64, 65, 75

Sample size, n = 15

Q1 = 1/4(n+1)th term

Q1 = 16/4 = 4th term = 57

Q2 = 1/2(n+1) th term

Q2 = 16/2 = 8th term = 59

Q3 = 3/4(n+1)th term

Q3 = 3/4(16) = 12 th term = 63

Interquartile range = Q3 - Q1 = 63 - 57 = 6

Outlier :

LOWER = Q1 - (1.5 * IQR) = 57 - (1.5*6) = 48 ; values below 48

UPPER = Q3 + (1.5 * IQR) = 63 + (1.5*6) = 72 ;

Values above 72

Outlier = 75

If two cards are randomly selected, what is the probability of drawing any one suit first, followed by drawing a face card

Answers

Answer:

0.0181 = 1.81% probability of drawing a suit first, and then a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of drawing a suit first:

4 out of 52 cards are suits, so:

[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]

Followed by drawing a face card:

Considering a suit was drawn, there will be 12 faces in the 51 remaining cards. So

[tex]P(B|A) = \frac{12}{51}[/tex]

What is the probability of drawing a suit first, followed by drawing a face card?

[tex]P(A \cap B) = P(A) \times P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{12}{13*51} = 0.0181[/tex]

0.0181 = 1.81% probability of drawing a suit first, and then a face card.

800 3. Andrew is buying a farm and needs to determine the height of a tree on the farm. Andrew, who is 5.8 feet tall, notices that when his shadow is 10 feet long, the shadow of the tree is 85 feet long. How tall is the tree? (5 points)​

Answers

9514 1404 393

Answer:

  49.3 feet

Step-by-step explanation:

Shadow lengths and object heights are considered to be proportional, so we have ...

  tree height/(tree shadow) = Andrew's height/(Andrew's shadow)

  height / (85 ft) = (5.8 ft)/(10 ft)

  height = (85 ft)(5.8/10) = 49.3 ft

The tree is 49.3 feet tall.

Joseph needs to drive 42 miles. They were going to drive at a certain average speed, but if they drive 10 mph faster, the trip will take 6 minutes (1/10 of an hour) less time. How fast were they going to drive? Write out the equation(s) ​

Answers

Answer:

The speed is 60 mph.

Step-by-step explanation:

distance = 42 miles

Let he drove with speed v and time is t.

distance = speed x time

42 = v t ..... (1)

42 = (v + 10)(t - 1/10) ..... (2)

[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]

So, the speed cannot be negative so the speed is 60 mph.

One difference between objects and data types is that it is usually not meaningful to compare the identities of separate instances of data types, but for objects it is valuable to compare separate object identities. Group of answer choices

Answers

Answer and explanation:

Question isn't complete but explanation is given below based on what you may be asking.

Answer and Explanation:

First, An object is a data type but is quite different from the usual or primitive data types such as string or integers. An object is based on object oriented programming(OOP) and is a sort of abstract data type which is usually defined by the programmer(some are inbuilt in the language). Objects are usually defined using classes and then become instances of those classes. Objects have identities(e.g- a dog has a name Zeus) and be compared to other objects of same class(other instances) while data types are not as well equipped to have identities, properties or methods that are user defined in order to make comparisons.

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