The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.

Answers

Answer 1

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:

[tex]r = \frac{4\,in}{5\,ft}[/tex]

We can convert each length by dividing it by scale factor. That is:

Length

[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]

[tex]l' = 20\,ft[/tex]

Width

[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]

[tex]w' = 31.25\,ft[/tex]

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.


Related Questions

What are some Solutions to the linear equation?: 3x+y=-8

Answers

9514 1404 393

Answer:

  (0, -8), (1, -11), (-1, -5)

Step-by-step explanation:

It is convenient to solve for y and choose values of x.

  y = -3x -8 . . . . . subtract 3x from both sides of the equation

Now, any integer value of x you choose will result in an integer value of y. Often, it is convenient to choose values near zero.

  x = -1, y = -3(-1) -8 = 3 -8 = -5 . . . . solution: (-1, -5)

  x = 0, y = -3(0) -8 = -8 . . . . solution: (0, -8)

  x = 1, y = -3(1) -8 = -11 . . . . solution: (1, -11)

A five-gallon bucket was completely filled with water. The bucket has a small leak that causes it to lose 8 fluid ounces of water every 15 minutes. If the leak continues at the same rate, how long will it take for the bucket to become half full? 1 gal = 128 fl oz

Answers

Answer:

600 minutes

Step-by-step explanation:

We start with a bucket that is completely full- it has five gallons of water.

5 gallons of water = 5 (128) fl oz = 640 fl oz

Half of 640 fl oz is 320 fl oz, which is the amount we are looking for.

So, we divide [tex]\frac{320}{8}[/tex] to find how many times it will take for the bucket to become half-full, which is 40 times.

Now, we multiply 40 by 15 minutes, so we get 40 × 15 = 600 minutes

Time for the bucket to become half full is 600 minutes.

Here,

A five-gallon bucket was completely filled with water.

The bucket has a small leak that causes it to lose 8 fluid ounces of water every 15 minutes.

We have to find the time for the bucket to become half full.

What is Number system?

A number system is defined as a system of writing to express numbers.

Now,

A five-gallon bucket was completely filled with water.

The bucket has a small leak that causes it to lose 8 fluid ounces of water every 15 minutes.

Hence, We start with a bucket that is completely full- it has five gallons of water.

So, Amount of 5 gallons of water = 5 * 128 = 640 fl oz

Now, Half of 640 fl oz = 640/2 = 320 fl oz

So, we divide to find how many times it will take for the bucket to become half-full as;

⇒ 320 ÷ 8 = 40

Now, Time is calculated as to multiply 40 by 15 minutes,

⇒ 40 × 15 = 600 minutes

Hence, Time for the bucket to become half full is 600 minutes.

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Solve the system of equations:
y=2x
Y=x^2-3

Answers

Answer:

C

Step-by-step explanation:

The two solutions are (-1,-2) and (3,6)

Pythorgorean Theorem ​

Answers

Are you sure it is Pythorgoren theorem because I was search for the answer but I could not find the answer this all it shows me

Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A-21 degrees more

B& degrees Fahrenheit

Step-by-step explanation:

True or false A graph that shows distance per unit of time shows speed. _________

Answers

True

hope this helped

Spoorthi plants 5 tree seedlings for every 3 that Hammad plants. If Hammad planted 6 trees in a minute, how many did Spoorthi plant?

Answers

Answer:
10 plants

Explanation:
5 plants for every 3 plants
3 x 2 = 6
5 x 2 = 10
10 because 5 times 2 is 10

whats the sum of 7,439.31 + 89.5?

include work too please.

Answers

Answer:

7,528.81

Step-by-step explanation:

  1 1  

7,439.31

+   89.5

7,528.81

Answer:

7528.81.............

determine the reflection across the x axis for the coordinates
A(3,2)
B(4,4)
C(1,3)

Answers

FOR A: 4,8 FOR B: 6,1 FOR C: 9,9.

Answer: b is your answer

Step-by-step explanation:

What is the measure of angle n?

Answers

Answer:

45 degrees

Step-by-step explanation:

The exterior angles of any polygon is 360 degrees. There are 8 exterior angles, so you have:

8n = 360

divide both sides by 8

n = 45 degrees

Answer: 45

Step-by-step explanation:

Octagon 8 angles

All exterior angles add up to 360 degrees

Meaning we divide

360/8 = 45

If a point (5,2) is rotated counterclockwise 90º about the origin, its image will be point

(Im on a timed test, please help)

theres are the answer choices:
A. (-2, 5)

B. (-5, 12)

C. (2, 5)

D. (2, -5)

Answers

Answer:

The answer is A

Step-by-step explanation:

Can someone please help me with this questions

Answers

Answer:

a-4

Step-by-step explanation:

b-diagramm

c-1100mn

rationalise the denominator by 6 root 7 minus 1

Answers

Answer:

Assuming the numerator was 1.

[tex](6\sqrt{7}+1)/251[/tex]

Step-by-step explanation:

Assuming the numerator was 1.

[tex]1/(6\sqrt{7} -1)\\ (6\sqrt{7}+1)/((6\sqrt{7} - 1)(6\sqrt{7} + 1))\\ (6\sqrt{7}+1)/((6\sqrt{7})^2 + 6\sqrt{7} - 7\sqrt{7} - 1)\\(6\sqrt{7}+1)/((6\sqrt{7})^2 - 1)\\(6\sqrt{7}+1)/((36*7 - 1)\\(6\sqrt{7}+1)/251[/tex]

PLEASE HELP EASY MATHHH EASY 10 POINTS

Answers

Answer:

y = -x + 7

Step-by-step explanation:

owa owa

Answer:x+6y=5

4x−5+y=0

3x+y=16

Step-by-step explanation:

Have a great day! <3

Unknown angle problems (with algebra)
Solve for x in the diagram below.
20
3.cº
100°
O
T =

Answers

Answer: x = 20 degree
3x = 3×20 which is 60 degree
And the other one is 100 degree
Add all the number 100+60+20 degree is 180 degree

A whole number is written on a piece of paper.
You are given three clues to help you work out the number written on the piece
of paper.
Clue 1: Triple the number is between 18 and 33 inclusive.
Clue 2: The number is a prime number.
Clue 3: The number is not a factor of 99.
Use each of the clues above to refine your search.
Enter the list of numbers obtained after each clue to finally find the number
written on the piece of paper.
[3]

Answers

Answer:

1)6,7,8,9,10,11

2)7,11

3)7

The whole number is 7.

What is whole number?

The group of natural numbers that includes the number 0 is known as whole numbers. The mathematical set of whole numbers is 0 through 9 and is represented by the letter W.

W = {0, 1, 2, 3, 4, …}

To better grasp whole numbers, consider the following information:

Whole numbers make up all natural numbers.There are only full numbers while counting.Zero and all positive integers are whole numbers.Real numbers are all entire numbers.

Given:

Triple the number is between 18 and 33 inclusive.

Then the number can be

3x6 = 18

3 x 7= 21

3 x 8= 24

3 x 9= 27

3 x 10= 30

3 x 11=33

Numbers are 6, 7, 8, 9, 10, 11

2. Number is a prime number

The prime numbers are 7 and 11.

3. Number is not a factor of 99

The number is 7 because 11 is factor of 99.

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Which number is irrational?

A: 13

B: √4

C: 0.14

D: √6

Answers

Answer:

√6

Step-by-step explanation:

An irrational number is a number that can not be represented by a fraction

13 = 13/1

√4 = 2 = 2/1

0.14 = 1/7

√6 = ~2.44948

Can 0.1/100 be simplified?

Answers

no 0.1/100 cannot be simplified

Answer:

Yes, the answer would be 0.001

Step-by-step explanation:

AB is a straight line.
Work out the size of angle x.
Not drawn accurately
(132
Х
A
B

Answers

x:48

A straight line will be 180 degrees so 180-132=x

132+48=180

The value of the angle x will be 48° hence correct option will be 48°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that a line with an angle of 132° since in a single line has an angle of 180° so

Angle x + 132° = 180°

x = 180° - 132° = 48° hence it will be the correct answer.

For more about the angle

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WILL GIVE BRAINLIEST AND 20 POINTS!
One side of a square room measures 24 ft. How many square yards of carpet are necessary to carpet the room? Hint: 1 yd2 = 9 ft2.
yd2

Answers

Answer:

2.6

Step-by-step explanation:

24 ft. divided by 9 is 2.6666666666...

Area of the carpet= a^2
= 24^2
=576 ft^2
=576/9
=64 yd^2

pls help me!!!!!!!!!!

Answers

Oh okie oh gosh lol oh okie gosh

8 (1/2x -1/4) > 12-2x

Answers

Answer:

x > 7/3

Step-by-step explanation:

Distribute by 8 first

4x - 2 > 12 - 2x

6x - 2 > 12

6x > 14

x > 14/6. or x > 7/3

x + 6= 2x − 11
.........

Answers

17 is your answer. the step by step is in the picture

The answer to your question is: x = 17

(1/4) to the 2 power

Answers

the answer to this is 1/16

Answer:

1/16

Step-by-step explanation:

(1/4)^2=16

Supercalifragilisticexpialidocious

Answers

Answer:

Is this the free points? srry if it's not

Step-by-step explanation:

3 divided by the square root of 2

Answers

Answer:

3/2·√2

Step-by-step explanation:

You have to multiply numerator and denominator by radical 2

1/3 radical 176xy to the 8th power​

Answers

Answer:

Remove all perfect squares from inside the square root. ... I think it's about eighth or ninth grade. ... so if you have the cube root of the square root of (x-5) =2, you get ((x-5)^(1/2))^1/3 = 2, power to power requires multiplication, so (x-5)^1/6 = 2, ...

Missing: 176 ‎xy

Subtract 5 from one-half of y

Answers

0.5y-5
....,.!.!.!.!.!!.!?.!.!.!!.!.!!,!,

Answer:

0.5y - 5

Step-by-step explanation:

First you wanna get 1/2 of y which is 0.5y

Then you are going to subtract 5 from 0.5y which is your answer

O.5y-5

PLEASE HELP DUE IN 15 MINUTES!!

Answers

Answer:

Supplementaryx = 34

Explanation:

Supplementary angles: Angles that measure up to 180°Write an equation to find x

4x + 10 + x = 180

Group like terms

4x + x + 10 = 180

Add: 4x + x = 5x

5x + 10 = 180

Subtract 10 from both sides

5x + 10 - 10 = 180 - 10

5x = 170

Divide both sides by 5

5x / 5 = 170 / 5

x = 34

The angles are supplementary, which means the angles form a linear pair.
(4x+10)°+x°=180°
5x=170
x=170/5
x=34

1.what is definition and
properties of kite.
2.write definition and properties of parallelogram along with diagram ​

Answers

Answer:

1..ans- kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent (“disjoint pairs” means that one side can't be used in both pairs). ... The opposite angles at the endpoints of the cross diagonal are congruent (angle J and angle L).

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