A model of a famous statue is 3 1/2 inches tall. The actual statue is 5 1/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?

Answers

Answer 1

Given:

A model of a famous statue is [tex]3\dfrac{1}{2}[/tex] inches tall. The actual statue is [tex]5\dfrac{1}{4}[/tex] feet tall.

To find:

The the ratio of the height of the model to the height of the actual statue in simplest form.

Solution:

We have,

Height of the model = [tex]3\dfrac{1}{2}[/tex] inches

Height of the actual statue = [tex]5\dfrac{1}{4}[/tex] feet.

Now, the ratio of the height of the model to the height of the actual statue is:

[tex]\text{Ratio}=\dfrac{\text{Height of model}}{\text{Height of actual statue}}[/tex]

[tex]\text{Ratio}=\dfrac{3\dfrac{1}{2}\ in.}{5\dfrac{1}{4}\ ft}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{3(2)+1}{2}\ in.}{\dfrac{5(4)+1}{4}\ ft}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\ ft}[/tex]

We know that 1 ft = 12 in.

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\times 12\ in.}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{21\times 3\ in.}[/tex]

[tex]\text{Ratio}=\dfrac{7}{2\times 21\times 3}[/tex]

[tex]\text{Ratio}=\dfrac{1}{2\times 3\times 3}[/tex]

[tex]\text{Ratio}=\dfrac{1}{18}[/tex]

Therefore, the ratio of the height of the model to the height of the actual statue in simplest form is [tex]\dfrac{1}{18}[/tex].


Related Questions

Help help help help help

Please!!!!!

Answers

I think it’s 120 ft because 6 x 4 = 24 x 10 =240 then 240/2 =120

Please help, past due.

Answers

Answer:

this figure is straight line angle is 180°.

angle rps+ angle qpr= angle qps

6x+11°+7x+143°=180°

13x+154°=180°

13x=180°-154°

13x=26

x=26/13

x=2

angle rps is 6x+11

6×2+11

23°

How many 1/2 inch cubes does it take to fill a box with a width of 3 1/2 inches, length of 2 inches and height of 5 1/2 inches?

Answers

Answer:

Step-by-step explanation:

Remark

I'm going to assume that the edges of the cubes are 1/2 inch on each side.

V = 1/2 * 1/2 * 1/2 = 1/8 cubic inches.

Volume of the box

V = L * w * h

Givens

L = 2 inches

w = 3.5 inches

h = 5.5 inches

Solution

V = L * w * h

V = 2 * 3.5 * 5.5

V = 38.5

1/8 has the decimal equivalent value of 0.125

Number of cubes needed = Volume of the box / volume of the cube

Number of cubes needed = 38.5 / 0.125

Number of cubes needed = 308

Write an equation for the green line, line g.

Answers

Answer:

x=-3

Step-by-step explanation:

Because its straight, on the x-axis, and on -3.

Answer:   x = -3

===========================================================

Explanation:

This green line goes through -3 on the x axis. Every point on this line has the same x coordinate and that x coordinate is x = -3. For instance, the two points (-3,5) and (-3,2) are on this green line. The equation of this line is x = -3 to indicate that x must be -3, but y can be anything you want. So that's why the y term doesn't even show up here. We cannot write the equation into slope intercept form. The slope of any vertical line is undefined.

3^-7
Simplify please.

Answers

Answer:

0.000457 what I got

Step-by-step explanation:


Which would be the correct answer?

Answers

Answer:

the third answer

Step-by-step explanation:

hope it helps

look at the picture and yea I will give you a thank you 5 stars and brainiet

Answers

Answer:

its answer 3

Step-by-step explanation:

Hi! It is answer 3. Hope this helps!

10 points please help !!

Answers

Answer: D

Step-by-step explanation:

y-(-3y) combine the like terms to create an equivalent expression

Answers

Answer: 4y

Step-by-step explanation:

Distribute the negative sign to get rid of the parentheses

y+3y = 4y

Can y'all help me with this please.

Answers

Answer:

it is 5-2 square root 7

Step-by-step explanation:

John is a furniture maker. The graph shows the number of chairs John makes and the time it takes to make that many chairs. How many hours
will it take for John to make 30 chairs?
OA
between 1 and 2 hours
OB.
between 2 and 3 hours
OC. between 3 and 4 hours
OD
between 4 and 5 hours

Answers

I would suggest It’s either 3 and 4

Answer:

between for and five hours

Step-by-step explanation:

jeat is growing carrots

Answers

Please post full question

What times 7 will get me to 38?

Answers

There are 5 times 7 in 38 easy you can search it up and it gives you the answer right away

Answer:

5.428571428571429

Step-by-step explanation: just do 38 divided by 7 on a calculator

Please help and please I need help:)

Answers

Answer:

16 eighteenths

Step-by-step explanation:

Answer:

16 eighteens fit into [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

in order to find out how much eighteenths are the in [tex]\frac{8}{9}[/tex]. we just have to divide [tex]\frac{8}{9}[/tex] by [tex]\frac{1}{18}[/tex]. So we get...

[tex](\frac{8}{9}) /(\frac{1}{18}) = (\frac{8}{9})(18) = \frac{144}{9} = 16[/tex]

Solve for X
12x-4=10x-10+30

Answers

Answer:

x = 12

Step-by-step explanation:

12x - 4 = 10x - 10 + 30

12x - 4 = 10x + 20

12x - 10x = 20 + 4

2x = 24

x = 12

Insta: 25k_kem

Answer:

x=12

Step-by-step explanation:

Corey walked three blocks east and then six blocks north. All the blocks were the same length. What is the value of the slope of the line from where Corey began walking to where he finished?
-3
-2
2
3

Answers

Answer:

The slope is 2

Step-by-step explanation:

We are going to call (0,0) the point where Corey began walking. If he walked three blocks east he would be at the point (3,0), once there he walks 6 blocks north and make it to the point (3,6)

The slope m of the line that passes through point (0,0) and (3,6) is

Answer:

2

Step-by-step explanation:

give the other dude brainliest

of Composite Shapes P5
driguez
Figure 10: Find the area of this composite shape.
Find the area of this composite shape.
15 yd
4 yd
Subi
10 yd
6yd

Answers

It is 114, because you subtract 6 from 15. So, the bigger thing is 90, add the smaller one onto it, 6 times 4 equals 24, 90+24=114.

PLease answer this question

Answers

Answer:

b- 43%

Step-by-step explanation:

being technical its 42.857142857143% but assuming its round up it would be 43%

Answer:

c. 30%

Step-by-step explanation:

Number of the trees:

12 + 28 = 40

Number of infected is 12, so the percent of infected is:

12/40*100% = 30%

I NEED THIS DONE IN A FEW MINUTES
Write your own word problem that includes at least 2 operations
Write the expression for your word problem
Solve your expression showing all work

Answers

Answer:

1) Word Problem

Sally has $2 and her mother gave her $10 to buy something from the store. Sally spent $7 at the store. How much money does Sally have now?

Expression

(2 + 10) - 7

2) Word Problem

Bob has 5 friends and each of them gave Bob 2 cookies. Bob originally had 2 of his own cookies. After collecting all of the cookies Bob split them evenly among him and his friends. How many cookies does each person have?

Expression

(5 x 2 + 2) ÷ 6

Split £99 in the ratio 1:8

Answers

Answer:

Step-by-step explanation:

https://math.icalculator.info/ratio-divider-calculator.html

11:88

total parts is 8+1 so 9
99/9 = 11 so 1 part = £11
then multiply by the ratio which gives you the answer

Which equations are equivalent to -1/4(x)+3/4=12? Select all that apply.

(-4x/1)+3/4=12

-1(x/4)+3/4=12

-x+3/4=12

1/4(x+3)=12

(-x/4)+3/4=12



HELP

Answers

Answer:

B and E

Step-by-step explanation:

B,C,E

is the full answer

The LCD for adding the fractions 1/5 + 1/10 is 10.
True
False

Answers

Answer:

true

Step-by-step explanation:

Answer: false

Step-by-step explanation:

What is the value of the expression below when x=3?
4x + 1

Answers

Answer:

13

Step-by-step explanation:

plug in 3 for x

4(3)+1 = 13

Answer:

15x

Step-by-step explanation:

Work out the size of angle x.
X
140°
105°​

Answers

Answer:

- 65

Step-by-step explanation:

x + 140 + 105 = 180

x + 245 = 180

x = 180- 245 = - 65

The size of angle x is 25°.

What is a Triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

As per the given data:

The two external angles are given in the diagram.

Assume angles as ∠1, ∠2 and ∠x in anti-clockwise order.

For finding the angles of the triangle:

∠1 + 105° = 180° {linear pair angles}

∠1 = 75°

∠2 + 140° = 180° {linear pair angles}

∠2 = 80°

Using angle-sum property of a triangle:

∠1 + ∠2 + ∠x = 180°

75° + 80° + ∠x = 180°

∠x = 25°

Hence, the size of angle x is 25°.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ2

(The given question is incomplete, the complete question is given below)

If I have 6 pencils and my friend has 7 apples how many pancakes can fit on the roof.
a. purple because pancakes are purple
b. Yellow because aliens don't wear hats
c. the square root of the sun
d. pencil

Answers

Answer:

red

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

depending on how big your roof is, and how high you can stack the pancakes, and the number of non hat wearing aliens that are eating the pancakes, it all really depends.  but if thats wrong the answers pencil

mmmmmm u should help -9/14+ 2/7

Answers

Answer:

0.9285714285714 is the answer.....

If something travels 4 meters in one second, what is its speed?

Answers

Answer:

1.8 speed

Step-by-step explanation:

Answer:

4 m/s

Step-by-step explanation:

speed = distance/ time

speed = 4/1

speed = 4m/s

who ever answeres this question first gets brainly

Answers

g or f i’m pretty sure
tha answer is J hope this helps:))

Solve for c 4(3+c)+c=c+4

Answers

Answer:

c= -2

Step-by-step explanation:

Please help.
Algebra.

Answers

-2 because two negatives equals a positive and -2 x -3 = 6 :)

Answer:

r= -3

Step-by-step explanation:

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