A scale model of the empire state building is 8cm tall. The actual building is 1454 feet tall. What scale factor was used to create the scale model?

Answers

Answer 1

Answer:

Scale Factor [tex]= 5540[/tex]

Step-by-step explanation:

As we know -

Scale  scale factor [tex]= \frac{L_p}{L_m}[/tex]

[tex]L_p =[/tex] Length of Actual object

[tex]L_m =[/tex] length of the model

Substituting the given values in above equation we get

Scale factor

[tex]= \frac{44317.92}{8} \\= 5539.74\\=5540[/tex]


Related Questions

what is the answer to 4x+10=26

Answers

the correct answer is x= 4

Answer:

x=4

Step-by-step explanation:

4x+10=26

Subtract 10 from both sides

4x=16

Divide by 4

x=4

ANSWER FOR BRAINLIEST

Answers

Answer:

x = 10

Step-by-step explanation:

( 6x - 6 ) + ( 7x + 1 ) + 55 = 180

6x + 7x = 180 + 6 - 1 - 55

13x = 130

x = 10

Check:

6(10) - 6 = 56

7(10) - 1 = 69

55 + 56 + 69 = 180 ✔️

Solve for x.
6
х
12
15
X=
units

Answers

Multiply the numbers all together

Answer:

x = 4

Step-by-step explanation:

If a line is parallel to a side of the triangle and intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{2}{4}[/tex] = [tex]\frac{x-1}{6}[/tex] ( cross- multiply )

4(x - 1) = 12 ( divide both sides by 4 )

x - 1 = 3 ( add 1 to both sides )

x = 4

Which of the following equations is equivalent to 2/3a - 7 = 1/3

Answers

Answer:

a = 11

Step-by-step explanation:

Given the equation 2/3a - 7 = 1/3

We are to find the value of a that satisfies the equation

2/3 a = 1/3 + 7

2/3 a = (1+21)/3

2/3 a = 22/3

2a = 22

a = 22/2

a = 11

Hence the value of a that satisfies the equation is 11

I need help plz

.........
.......
.......

Answers

Answer:

v=-60

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

3v/4 + 3 =7v/10

3v/4 + 3-3 =7v/10-3

3v/4= 7v/10 - 3

divideee (lol I don't wanna do the work)

v= --60

Hope this helps!

Calculate or Simplify the value of each expression a {-8} . 2/3

Answers

Answer:

Step-by-step explanation:

[tex](-8)*\frac{2}{3}=\frrac{(-8)*2}{3}= \frac{-16}{3}[/tex]

How much is 2000mg in grams?

Answers

Answer:

2 grams

Step-by-step explanation:

It’s 2 grams ...............

what is the inequality of 2.2m < 11​

Answers

Answer:

m<5

Step-by-step explanation:

Answer:

m < 5

Step-by-step explanation:

A light bulb is designed by revolving the graph of:

[tex]y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}[/tex]

Over the interval 0 ≤ x ≤ 1/3 about the x-axis, where x and y are measured in feet. Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. (Glass is 0.015 inch thick).

Answers

Answer:

[tex]\displaystyle 0.251327 \ in. \ of \ glass[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Factoring

Calculus

Differentiation

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

Integration Property: [tex]\displaystyle \int\limits^a_b {cf(x)} \, dx = c \int\limits^a_b {f(x)} \, dx[/tex]Fundamental Theorem of Calculus: [tex]\displaystyle \int\limits^a_b {f(x)} \, dx = F(b) - F(a)[/tex]Area between Two CurvesVolumes of RevolutionArc Length Formula: [tex]\displaystyle AL = \int\limits^a_b {\sqrt{1+ [f'(x)]^2}} \, dx[/tex]Surface Area Formula: [tex]\displaystyle SA = 2\pi \int\limits^a_b {f(x) \sqrt{1+ [f'(x)]^2}} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}\\Interval: [0, \frac{1}{3}][/tex]

Step 2: Differentiate

Basic Power Rule:                    [tex]\displaystyle y' = \frac{1}{2} \cdot \frac{1}{3}x^{\frac{1}{2} - 1} - \frac{3}{2} \cdot x^{\frac{3}{2} - 1}[/tex][Derivative] Simplify:                [tex]\displaystyle y' = \frac{1}{6}x^{\frac{-1}{2}} - \frac{3}{2}x^{\frac{1}{2}}[/tex][Derivative] Simplify:                [tex]\displaystyle y' = \frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}[/tex]

Step 3: Integrate Pt. 1

Substitute [Surface Area]:                                                                             [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{1+ [\frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}]^2}} \, dx[/tex][Integral - √Radical] Expand/Add:                                                               [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{81x^2+18x+1}{36x}} \, dx[/tex][Integral - √Radical] Factor:                                                                         [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{(9x + 1)^2}{36x}} \, dx[/tex][Integral - Simplify]:                                                                                       [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {-\frac{|9x + 1|(3x - 1)}{18}} \, dx[/tex][Integral] Integration Property:                                                                     [tex]\displaystyle SA = \frac{- \pi}{9} \int\limits^{\frac{1}{3}}_0 {|9x + 1|(3x - 1)} \, dx[/tex]

Step 4: Integrate Pt. 2

[Integral] Define:                                                                                             [tex]\displaystyle \int {|9x + 1|(3x - 1)} \, dx[/tex][Integral] Assumption of Positive/Correction Factors:                                 [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {(9x + 1)(3x - 1)} \, dx[/tex][Integral] Expand - FOIL:                                                                                 [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {27x^2 - 6x - 1} \, dx[/tex][Integral] Integrate - Basic Power Rule:                                                         [tex]\displaystyle \frac{9x + 1}{|9x + 1|} (9x^3 - 3x^2 - x)[/tex][Expression] Multiply:                                                                                      [tex]\displaystyle \frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|}[/tex]

Step 5: Integrate Pt. 3

[Integral] Substitute/Integral - FTC:                                                              [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|})|\limits_{0}^{\frac{1}{3}}[/tex][Integrate] Evaluate FTC:                                                                                [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{-1}{3})[/tex][Expression] Multiply:                                                                                     [tex]\displaystyle SA = \frac{\pi}{27} \ ft^2[/tex]

It is in ft² because it is given that our axis are in ft.

Step 6: Find Amount of Glass

Convert ft² to in² and multiply by 0.015 in (given) to find amount of glass.

Convert ft² to in²:                    [tex]\displaystyle \frac{\pi}{27} \ ft^2 \ \div 144 \ in^2/ft^2 = \frac{16 \pi}{3} \ in^2[/tex]Multiply:                                   [tex]\displaystyle \frac{16 \pi}{3} \ in^2 \cdot 0.015 \ in = 0.251327 \ in. \ of \ glass[/tex]

And we have our final answer! Hope this helped on your Calc BC journey!


find the equation of the line that is parallel y= 2x+10 and passes through the point (6,-4)

Answers

Answer:

The equation of the parallel line to the given line

y = 2 x - 16

Step-by-step explanation:

Step(i):-

Given equation of the straight line y = 2 x +10

                                             2x - y + 10 =0

The equation of the parallel line to the given line is

           a x + by + k=0

The equation of the parallel line to the given line is

           2x - y + k=0

Step(ii):-

Given point ( 6,-4)

The equation of the parallel line to the given line is

           2x - y + k=0

This line passing through the point ( 6,-4)

           2(6) - (-4)+ k=0

          12 + 4 +k =0

           16 + k=0

                k = -16

Final answer:-

The equation of the parallel line to the given line

y = 2 x - 16

Which fraction is equivalent 5/20?

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

5/20

divide both sides of the fraction by 5

5/5 = 1

20/5 = 4

1/4

Use synthetic division
1.
(2x3 - 5x2 + 3x + 7) = (x - 2)

Answers

Answer:

Step-by-step explanation: that should help

25. Explain the Error Jeremy factored 144x? – 100 as follows:
144x2 100 = (12x + 10)(12x – 10)
= 2(6x + 5)(6x – 5)
What was his error? Correct his work.

Answers

Given:

Consider the expression is

[tex]144x^2-100[/tex]

Jeremy factored the given expression and his steps are given.

To find:

The error in his solution.

Solution:

We have,

[tex]144x^2-100[/tex]

It can be written as

[tex]=12^2x^2-10^2[/tex]

[tex]=(12x)^2-10^2[/tex]

[tex]=(12x+10)(12x-10)[/tex]             [tex][\because a^2-b^2=(a+b)(a-b)][/tex]

Taking out common factors from each parenthesis.

[tex]=2(6x+5)2(6x-5)[/tex]

[tex]=4(6x+5)(6x-5)[/tex]

So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.

Therefore, Jeremy made his mistake in his last step.

(Please help) Based on the equation you wrote in part 1, complete the table below (equation is f = 1000t)
Number of tigers | Area (Square feet)
1 :
2 :
3 :
4 :

Answers

Answer:

1,000

2,000

3,000

4,000

Step-by-step explanation:

just took the test got it right

Answer: I got the sample answer correct

Step-by-step explanation:

the edmentum answer

You want to add lace around the outside of your circular kitchen table cloth. If the diameter of the table cloth is 16 cm, then which of the following measurements would represent how much lace you need?

Answers

The length of lace would be the circumference of the circle.

Circumference = diameter x Pi

Circumference = 16pi cm

Circumference = 50.24 cm ( approximately)

Answer:

The circumference of the circle.

Step-by-step explanation:

n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4

Please i need the answer ASAP

Answers

here u go

In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points  T and  U  lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.

PLS MARK ME AS BRAINLIST!!!!!

find the total surface area for this cuboid

Answers

Answer:

24cm

Step-by-step explanation:

surface= Ixb

= 6x4

= 24cm

Answer:

148cm(squared)

Step-by-step explanation:

5 x 6 = 30

5 x 4 = 20

6 x 4 = 24

30 + 24 + 20 = 74cm

74cm x 2 = 148cm(s)

16 can be written as:
O
A. 22

B. 44

c. 24
D. 82
E. 28

Answers

Answer:

2^4

Step-by-step explanation:

2^2 = 2 * 2 = 4

4^4 = 4*4*4*4 = 256

2^4 = 4*4 = 16

8^2 = 8*8 = 64

2^8 = 2*2*2*2*2*2*2*2 = 256

Hence, 16 can be written as 2^4

Thus, Answer is [C] 2^4

[RevyBreeze]

Hey Everyone I was asking anyone can help with this problem it would really appreciated.

Answers

Answer:

angle G = angle I

HGI=HIJ by RHS fact

HGI=HIJ corresponding angles are alwyas congurrent

Solve for c.
-5/8c = 20

A. c = -34

B. c = -32

C. c = 26

D. c = 28

Answers

Answer:

b

Step-by-step explanation:

solve for c by simplifying both sides of the equation then isolate the variable

i need help plssssssssssssss

Answers

Answer:

It doesn't show what the drop down is. However, both of those are linear expressions.

Sergio's expressionn siplifies to: 9+3x (because two minuses cancel each other).

Leon's expression cancels to 12+6x (because 9+3=12)

Step-by-step explanation:

You have to show the dropdown to be able to answer exactly what they are looking for as an answer.


The two triangles shown are similar. Find the value of b.

Answers

Answer:

Since the corresponding sides of similar triangles are proportional,

[tex]\frac{a}{b}= \frac{2.1}{1.4} =\frac{3}{2}[/tex]

A farmhouse shelters 14 animals. Some are
pigs, and some are chickens. Altogether there
are 44 legs between the animals. Let p
represent the number of pigs and c represent
the number of chickens.

Answers

9514 1404 393

Answer:

8 pigs6 chickens

Step-by-step explanation:

Maybe you want to know the number of each kind of animal.

__

We can write two equations in the two unknowns.

  p + c = 14 . . . . . . number of animals

  4p +2c = 44 . . .  number of legs

Dividing the second equation by 2, it becomes ...

  2p +c = 22

Then subtracting the first equation gives ...

  (2p +c) -(p +c) = (22) -(14)

  p = 8

  8 +c = 14

  c = 6

The farmhouse shelters 8 pigs and 6 chickens.

A mechanic charges $20.00 an hour, h for labor plus parts. If the parts cost $217.00, write a linear equation that will find the total cost, c. ​

Answers

Answer:

y=20x+217

Step-by-step explanation:

Division as Fractions - Word
Name
cach problem. Make sure to write your answer as a fraction.
Henry wanted to collect 65 pounds of cans in 7 days. How much should he
collect each day to reach his goal? Which two whole numbers does your
answer lie between?

Answers

Answer:

65/7

=9.28..lies btwn 9 and 10

Step-by-step explanation:

18 divided by 5 - (6-5)-1) pemdas

Answers

Answer:

The answer is 6

what does 40 centimeters equals in meters

Answers

Answer:

Its 0.4 meters!

Step-by-step explanation:

Math equation with its graph

a) y=3x+2

b) y= -x+5

c) y= 2x-1

d) y= -4x

See picture attached

Please help

Answers

Answer:

y=3x+2 to B

y=-x+5 to D

y=2x-1 to C

y=-4x to A

1. What is 8 turbo jets raised to the power of 4?*

Answers

Answer:

4096

Step-by-step explanation:

Hey there!!!!

8  raised to the power of 4 = [tex]8^{4}[/tex]

[tex]8^{4}[/tex] = 8*8*8*8

if we multiply:

8*8=16

16*8= 128

128*8 = 4096

hope this helps :)

A store sells a pound of bananas for $0.40 and a pound of cabbage for $0.56. Can you buy more pounds of bananas or cabbage with $7? How many more pounds?

Answers

Answer:

The bananas will cost $1.38.

Step-by-step explanation:

Explanation:

Multiply the number of pounds by the price per pound.

2.51lb×$0.55lb=$1.38

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