An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length 1/2in and 1/6in. The actual tiles have length 2/3ft and 2/9ft. What is the ratio of the length of a tile in the model to the length of actual tile? What is the ratio of the area of tile in the model to the area of an actual tile?

Answers

Answer 1

Answer:

Ratio of the lengths = 1 : 16 and 1 : 15.71

Ratio of the Area = 1 : 251.29

Step-by-step explanation:

Model = 1/2in and 1/6in.

Actual = 2/3ft and 2/9ft.

1 ft = 12 inches

2/3 ft = 8 inches

2/9 ft = 2.67 inches

Model = 0.5 inches and 0.17 inches

Actual = 8 inches and 2.67 inches

Ratio

0.5 : 8 and 0.17 : 2.67

= 0.5 / 8 and 0.17 / 2.67

= 1 / 16 and 1 / 15.71

= 1 : 16 and 1 : 15.71

Area of the tile in the model = length × width

= (0.5 × 0.17) inches

= 0.085 inches

Area of the actual tile = length × width

= (8 × 2.67) inches

= 21.36 inches

Ratio of the area

0.085 : 21.36

= 0.085 / 21.36

= 1 : 251.29


Related Questions

True or false
Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

Answers

Answer:

im pretty sure its true

Step-by-step explanation:

so sorry if its wrong, hope it helps!

Hector had $98.70. He spent $52.67 for school clothes. How much money does Hector have left?

Answers

Answer:

$46.03

Step-by-step explanation:

Answer: A) $ 46.03

Step-by-step explanation: I took away $98.70 and $52.67 and I got A as answer :)

0.375, 75% , 5/8, 1/2
From least to greatest pls

Answers

03.75, 1/2 , 5/8 , 75%

ASAP ASAP ASAP
PLEASE HELP ME

Answers

Answer:

d

Step-by-step explanation:

Answer:

I rlly don't know how to help you bruh

Step-by-step explanation:

Why I can't understand the question and as to what they mean by if you fold it as shown though i know they probably mean where the shapes on the side are I say find someone else or take a wild guess.

What is the value of 7×7+23

Answers

Answer:

72

Step-by-step explanation:

7x7 = 49

49 + 23 = 72

PEMDAS causes the multiplication to come before the addition.

Write the equation of the line passing through the points -2,3 and -1,-2 in slope intercept and point slope form

Answers

Answer:

y=-5x-7

Step-by-step explanation:

y=-5x-7

Hope you are having a good day!

Answer:

-26

Step-by-step explanation:

-23 + (-1-2) = -26

A poll conducted the day before the student- body presidential election at a midwestern university showed that 53.9 percent favored Mario, the rest favoring Yin Ling. The margin of error was 4.2 percentage points. Should Yin Ling have conceded the election?

Answers

Answer:

No

Step-by-step explanation:

The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error

The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)

This means that between 49.7% to 58.1% of the people would have voted for Mario.

Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario

What is the area of triangle below?

Answers

The answer should be A=12

According to the diagram, which statement is NOT true?
Real Numbers
Irrational Numbers
Rational Numbers
Integers
Whole Numbers
Counting
Numbers
А
All counting numbers are also rational numbers.
All whole numbers are integers.
B
C All rational numbers are real numbers.
D
AB rational numbers are integers

Answers

Answer:

all rational numbers are intergers

Step-by-step explanation:

What is the equation 8x-7=4x+21

Answers

Answer:

x=7

Step-by-step explanation:

8x−7=4x+21

Step 1: Subtract 4x from both sides.

8x−7−4x=4x+21−4x

4x−7=21

Step 2: Add 7 to both sides.

4x−7+7=21+7

4x=28

Step 3: Divide both sides by 4.

4x

4

=

28

4

Van bought a 16-pound bag of dog food. His dog ate of the food. How many pounds of dog food did the dog eat?dogs with dog food it's a doggy ​

Answers

The dog ate 16 pounds of food

Answer:

The answer is 13 pound of dog food

Step-by-step explanation:

Here is your explanation 16 is a even  

number and you can put it in 13 because

13+ 13 =16

The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the slope of the line represented by the given equation?

Answers

Answer:

The slope of the line is 0.1.

Which negative numbers have an absolute value greater than 3?
Choose all that apply.

-1/2

-4.2

-16/5

-1.8

-5

-12

Answers

-16/5 =3.2

That is the correct answer
Answer: 4.2,-16/5,-5,-12

How do I solve for x, y, and z? Please help ASAP.

Answers

Answer:

x = 60 degrees, y = 120 degrees, z = 30 degrees

Step-by-step explanation:

To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle.  This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure.  Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:

x + x + x = 180

3x = 180

x = 60 degrees

Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees.  This lets us write the following equation:

y + 60 = 180

When we subtract 60 from both sides to solve, we get:

y = 120 degrees

Finally, we should notice that the triangle on the right is isosceles.  This means that two of the side lengths (and thus two of the angles) are equal.  This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal.  From this information we can write the following equation:

y + z + z = 180

If we substitute the value for y and solve, we get:

120 + 2z = 180

2z = 60

z = 30 degrees

Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.

Hope this helps!

need help!! 40 points !!

The triangles shown below must be congruent.

Answers

Answer:

The question asks if they must be congruent, so the answer is false

Step-by-step explanation:

All the angles are equal

47 = 47

62=62

71=71

The side between the 62 and 71 equals 7 on the left, we are not given the side between the 62 and the 71 on the right so we do not know if the triangles are congruent.  We need to have one of the sides be equal for the triangles to be congruent.

The question asks if they must be congruent, so the answer is false

Answer:

FALSE

Step-by-step explanation:

ap3x

since i tried looking it up and it gave me a dum answer heres the real answer since i got it wrong lol
The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction a Over 2 h EndFraction minus b 2 equals b 1. – b2 = b1
StartFraction 2 a minus b 2 Over h EndFraction equals b. = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
StartFraction a Over 2 left-parenthesis b 1 plus b 1 right-parenthesis EndFraction equals h.= h

Answers

Answer:

the answer to your question is A and D i just got it right

Step-by-step explanation:

i hope this helps your welcome

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1

StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h

Answer:

A and D

Step-by-step explanation:

correct on edge

Mercurys average distance fron the sun is 35,000,000 miles. It takes 3 minutes for light to travel from the sun to Mercury. Neptune with an average of 2.8 x 10 to the power or 9 miles from the sun. How many times farther from the sun is Neptune than Mercury? How ling does it take light to reach Neptune?

Answers

Answer:

Neptune is 80 times farther from the Sun than Mercury.

It takes 4 hours to reach the light from the Sun to Neptune.

Step-by-step explanation:

Given that the average distance between the Sun and Mercury,

[tex]d_1=35,000,000[/tex] miles [tex]=3.5\times 10^7[/tex] miles.

The time to reach the light from the sun to Mercury, [tex]t_1 = 3[/tex] minutes

Let v m/s  be the speed of light.

So, [tex]v=\frac{d_1}{t_1}\cdots(i)[/tex]  [as speed = distance/time]

Now, the average distance between the Sun and Neptune,

[tex]d_2=2.8\times 10^9[/tex] miles.

The ration of the average distance of Neptune and Mercury from Sun,

[tex]\frac{d_2}{d_1}=\frac{2.8\times 10^9}{3.5\times 10^7}[/tex]

[tex]\frac{d_2}{d_1}=80\cdots(ii)[/tex]

So, Neptune is 80 times farther from the Sun than Mercury.

The time to reach the light from the sun to Neptune,

[tex]=\frac{d_2}{v}[/tex] [as time=distance/speed]

[tex]=\frac{d_2}{d_1/t_1}[/tex] [using equation(i)]

[tex]=\frac {d_2}{d_1}\times t_1[/tex]

[tex]=80\times 3[/tex]  [using equation(ii)]

=240 minutes

=4 hours [as 1 hour =60 minutes]

Hence, it takes 4 hours to reach the light from the Sun to Neptune.

Using the speed - distance relationship, we can deduce that Neptune is 80 times farther from the sun than Mercury and it will take 240 minutes for light from the sun to reach Neptune.

Given the Parameters :

Mercury's average distance from sun = 35000000 miles

Time taken for light to travel to mercury = 3 minutes

Neptune's average distance from sun = [tex] 2.8 \times 10^{9} [/tex]

Number of times Neptune is father from the sun than Mercury :

(Neptune's distance) ÷ Mercury's distance

[tex] \frac{2.8 \times 10^{9}}{35000000}= 80 [/tex]

Hence, Neptune is 80 times farther from the sun than Mercury.

Time taken for light to reach Neptune :

Time taken to each mercury × 80

3 minutes × 80 = 240 Minutes

60 minutes = 1 hour

240 minutes = (240 ÷ 60) = 4 hours

Therefore, it would take 4 hours for light to reach Neptune.

Learn more : https://brainly.com/question/18405415

0.52 X 2.1 =
Help i don’t understand

Answers

Answer:

1.092

Step-by-step explanation:

Can someone help me out with this? First to answer will get brainliest. :)

Answers

1) 4/3
2)-5
3)5/2
4)-17/5

Please!
Which type of transformation is shown here?
A)
dilation
B)
reflection
C)
rotation
D)
translation

Answers

Answer:

A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

WILL MARK BRAINLIST!!!!

DBA Study Guide –
2.01 ESSENTIAL QUESTIONS
• What are the Transformations and how do they move?
• How can you tell the difference between the preimage and the transformed image by looking at the figures on a graph?

• 2.03 ESSENTIAL QUESTIONS
• What are the names of the Theorems that we use to prove triangles congruent?
• What does it mean for two shapes to be congruent?
2.04 ESSENTIAL QUESTIONS
How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof:
• Isosceles Triangle Theorem
2.06 ESSENTIAL QUESTIONS
• What are the characteristics of squares, rhombi, kites, and trapezoids?

Answers

Answer: These are some of the questions not all of them

There are four types of transformations: reflection, rotation, translation and enlargement. Translation (also known as Slide) moves a shape by sliding it up, down, sideways or diagonally, without turning it or making it bigger or smaller. Reflection (also known as Flip) in a line produces a mirror image in which corresponding points on the original shape and the mirror image are always the same distance from the mirror line. Rotation (also known as Turn) turns a shape through a clockwise or anti-clockwise angle about a fixed point known as the Centre of Rotation. All lines in the shape rotate through the same angle. Rotation, (just like reflection) changes the orientation and position of the shape, but everything else stays the same. Enlargement (also known as Dilation) is a transformation. However, it is different from reflection, rotation and translation because it changes the size of an object. Transformations which leave the dimensions of the object and its image unchanged are called isometric transformations. Examples of isometrics are reflection, rotation and translation. Transformations which do alter the dimension of the object when they act on them are called non-isometric transformation Examples are the enlargement. The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent. n geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

complete each proof​

Answers

Answer:

a) given

b) subtraction property

d) 3x+8 -8= 2-8

e) 3x= -6

f) division property

g) x=-2

Step-by-step explanation:

The cost of parking a car in an hourly lot can be represented by the following equation y = 3x + 2 What does the 3 tell you about the cost of parking?

A) The hourly rate is $3

B) You can only park for 3 hours

C) There is a $3 fee to park

D) it costs 5 dollars to park all day​

Answers

Answer:

A

Step-by-step explanation:

The three represents the amount it costs for each hour parked, and is continuous, which is a rate.

It’s A ... sorry if I’m wrong

The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?

Answers

Answer:

The probability is  [tex]P(900 < X < 1100) = 0.358102[/tex]

Step-by-step explanation:

From the question we are told that

   The  population mean is  [tex]\mu = \$ 1130[/tex]

    The standard deviation is  [tex]\sigma = \$ 150[/tex]

   

Generally the probability that the gas bill will be between $900 and  $1100 is mathematically represented as

      [tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]

=>  [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]

Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]

So

    [tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]

   [tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]

From the z  table  

     [tex]P(Z < -0.2 ) = 0.42074[/tex]

and

     [tex]P(Z < -1.533) = 0.062638[/tex]

So

     [tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]

=> [tex]P(900 < X < 1100) = 0.358102[/tex]

Which shows a set of three equivalent decimals?
1.9, 1.90, 1.900
1.9, 1.90, 1.090
1.9, 0.19 0.190
O 1.9, 1.09, 1.009

Answers

The best choice is A)

when you add a zero, it does not count on a decimal, so,

1.9, 1.90, 1.900.

Answer:

the answer is a

Step-by-step explanation:


Please can anyone help me

Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5

Answers

Answer:

17 (I think)

Step-by-step explanation:

substitue -3 in for x so 4(-3) + y = 5

-12+ y =5

+12        +12

y=17

Combine like terms

9w-w =

Answers

9w-w=8w because its 9 positive w plus 1 negative w

you are selling tickets to a school play. students tickets cost 5.00 dollars and adults tickets cost 7.00. you sell a total of 125 tickets and collect 775.00 dollars. how many of each type of ticket did you sell? PLZ HELP SHOW WORK

Answers

Answer:adult tickets - 75 and student tickets - 50

Step-by-step explanation:

75x7=525 and 50x5=250, therefore 525+250=775

hope this helps

A cone has a diameter of 6 inches and a height of 8 inches. Find the volume of the both in terms of π and using 3.14 for π.

Answers

Answer

1- 61.95

2- 82.6  

Step-by-step explanation:

V=πr2h divided by 3

1 quart to 1 gallon

Answers

4 quarts equal 1 gallon. 1 quart to 1 gallon is 0.25 of a gallon.

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