The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a model of it using blocks.

a) Suppose you are making a model where one block represents 2 feet. About how many blocks tall is your model of the Empire State Building? What is the scale factor?

Answers

Answer 1

Answer:

365 and 1/2 blocks will be used

The scale fact is 0.25

Step-by-step explanation:

So . .

We create a ratio 1:2

This represents 1 block is equivalent to 2 feet

Simply 1450 ÷ 2 = 725

So . . There are 725 feet and because One block is equal to 2 feet you divide 725 ÷ 2 =  362.5 blocks will be used

To find the scale factor simply divide the deminsions of the new shape by old

362.5 ÷ 1450 = .25

Related Questions

the data table in the illustrate a liner function

x} 0, 2 ,4, 6
y} -5, -2, 1, 4

what is the slope of the liner function? Which graph represents the data

A). -2/3 (graph 1)
B). 3/2 (graph 2)
C). 2/3 (graph 3)
D). -3/2 (graph 4)

Answers

Answer:

Slope = 3/2

Step-by-step explanation:

To find the slope you do:

[tex]\frac{y2-y2}{x2-x1}[/tex]

Plug in any two points:

[tex]\frac{-5-(-2)}{0-2} = \frac{-3}{-2} =\frac{3}{2}[/tex]

Answer: the answer is b

Step-by-step explanation:

Please help me with this I would give you 50 points.

Answers

Answer:

5.  s ÷ 10, 8b, h + 7, 3r - 8

6. 248

Step-by-step explanation:

5.s divided by 10 would be written as s ÷ 10. 8 times b would be written 8b or 8 x b. 7 more than h would be written h + 7 because you are doing 7 more that h not h more than 7. 8 less than the product of 3 and r is written 3r -8 because the word product means to multiply. So, the question is 8 less than 3 times r which is written 3r -8 or (3 x r) - 8.

6. is 248 because if you drive 62 miles each hour and you drive for four hours you will go 248 miles in total. You just multiply 62 times 4.

Hope this helped.:)

All I know is 6: is 248

The population of a small town, P, as a function of time, t, in years past 1940 is given below.

P = 2,794 + 325t

For which of the following years was the population of the town 11,569?

A. 1977
B. 1937
C. 1927
D. 1967

Answers

The answer is 1967. Plug in 11,569 for P. subtract 2,794 from 11,569. Divide 325 by 8,775. The answer is 27 plus 1940= 1967

The answer is 1967.:

Step-by-step explanation:

i need some help on this! i need my grade to go up

Answers

3rd one I think tho it may not be accurate
The answer is -8.9 + 16.6 I believe.

Consider the figure.

Find the area of the composite figure shown to the nearest half unit.

Answers

answer is 11 units because you just count the squares and approximate where half the squares adds up

Answer:

Area = 13

Step-by-step explanation:

see image. There's a brick of 8 whole squares on the bottom. Then a layer of 3 whole squares on top of that. There's a 1/2 a square besides the 3. Then on top, there is half of a layer of 3 squares. Half of 3 is 1 1/2.

8 + 3 + 1/2 + 1 1/2

= 8 + 3 + 2

= 13

Janice drew 1 card from a standard deck of 52 cards. What fraction of the deck of cards is red.

A. 1/3
B. 1/2
C. 3/4

Answers

1/2 because there are 36 red cards and 36 black cards in a standard deck, meaning half are red
1/2 because there 26 reds and 26 black cards in a deck of cards.

You have a stack of sticky notes in six different colors. There are 600 sticky notes in the stack(100 of each color). The height is 6 cm, and the width and length are both 7.62 cm. The six colors are stacked on top of each other with the height(so each colored stack is 1cm).

1. What is the volume of each section? Describe two methods to find the volume of one of the sections.

2. What is the height of one sticky note? Describe two methods to find the height of one sticky note.

---------------------------------------------------------------------------------------------------------------------
3. A stack of circular sticky notes has 400 sticky notes in total. The cylinder has a diameter of 3 in. and a height of 0.8 in. Find the surface area of one sticky note. Use 3.14 for pi. Show your steps.

Thank you so much for helping!!

Answers

Answer:

1. 58.0644

2. 0.01

3. 14.16

Step-by-step explanation:

1. V = l*w*h

   v = 7.62*7.62*1

   v = 58.0644

              or

    v = 7.62*7.62*6

    v = 348.3864

    v = 348.3864/6

     v =  58.0644

   

2. 1cm/ 100 sticky notes = 0.01

    6cm/ 600 sticky notes = 0.01

3. A=2πrh+2πr2

      =2·π·1.5·2×0.002+2·π·1.52

      =14.15602

The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is  0.02376 sq inch.

1)The volume of one sticky note can be calculated using the formula for the volume of a rectangular prism :[tex]V = l \times w \times h[/tex], where l is the length, w is the width, and h is the height.

Length (l) = 7.62 cm

Width (w) = 7.62 cm

Height (h) = 1 cm (for each colored stack)

Substituting the values into the formula:

V = [tex]7.62 cm \times 7.62 cm \times 1 cm[/tex]

V = 58.09364[tex]cm^3[/tex].

Since there are 100 sticky notes of each color, the volume of each section can be found by multiplying the volume of one sticky note by 100:

Volume of each section =[tex]58.09364 cm^3 \times 100[/tex]

Volume of each section = 5809.364 cm³

Method 2: Using the total volume of the stack and proportions

The total volume of the stack can be calculated by multiplying the area of the base (length × width) by the total height of the stack.

Given:

Length (l) = 7.62 cm

Width (w) = 7.62 cm

Height of stack = 6 cm

Volume of stack = l × w × height of stack

Volume of stack =[tex]7.62 cm \times 7.62 cm \times 6 cm[/tex]

Volume of stack = 349.52544[tex]cm^3[/tex] (rounded to five decimal places)

Since the stack contains 600 sticky notes in total and each section represents one-sixth of the stack, we can calculate the volume of each section by dividing the total volume by 6:

Volume of each section = Volume of stack  divided by 6

Volume of each section =[tex]\dfrac{349.52544 }{6} cm^3[/tex]

Volume of each section = 58.25424 cm³ (rounded to five decimal places)

The height of one sticky note, we can divide the total height of the stack by the number of sticky notes of each color.

Method 1: Direct division

The height of one sticky note can be found by dividing the total height of the stack by the number of sticky notes in each colored section.

Height of stack = 6 cm

Number of sticky notes per color = 100

Height of one sticky note = [tex]\dfrac{Height of stack } {Number\ of \ sticky \ notes \ per \ color}[/tex]

Height of one sticky note =[tex]\dfrac{6}{100}cm[/tex]

Height of one sticky note = 0.06 cm

By Using proportions, method 2 can be solved

Since each colored section represents one-sixth of the stack, the height of one sticky note can be found by multiplying the height of the stack by [tex]\dfrac{1}{6}[/tex].

Height of stack = 6 cm

Height of one sticky note =[tex]Height of stack \times\dfrac{1}{6}[/tex]

Height of one sticky note =[tex]6\times \dfrac{1}{6}[/tex]

Height of one sticky note = 1 cm

To find the surface area of one sticky note in the circular stack, we need to calculate the surface area of the cylinder and then divide it by the number of sticky notes.

Total number of sticky notes = 400

Diameter of cylinder = 3 in

Height of cylinder = 0.8 in

[tex]\pi[/tex] = 3.14

Calculate the surface area of the cylinder using the formula for the lateral surface area of a cylinder:[tex]A = 2\pi rh[/tex], where r is the radius and h is the height.

Radius (r)  = [tex]\dfrac{3}{2}[/tex]  = 1.5 in

Lateral Surface Area (A) = [tex]2\pi rh[/tex]

A = [tex]2 \times 3.14 \times 1.5 \times 0.8[/tex] in

A = 9.504 sq inch (rounded to three decimal places)

Since there are 400 sticky notes, we can calculate the surface area of one sticky note by dividing the total surface area by 400:

Surface area of one sticky note = [tex]\dfrac{A}{Total\ number of \ sticky \ notes}[/tex]

Surface area of one sticky note = [tex]\dfrac{9.504 }{400}sq \ inch[/tex]

Surface area of one sticky note ≈ 0.02376 sq inch.

The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is  0.02376 sq inch.

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FIRST CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

121.2 cm^2

Step-by-step explanation:

Surface area:

6 x 5.5 x 2 = 6 x 11 = 66 cm^2

6 x 2.4 x 2 = 12 x 2.4  = 28.8 cm^2

5.5 x 2.4 x 2 = 11 x 2.4 = 26.4 cm^2

Total surface area = 66 + 28.8 + 26.4 = 94.8+ 26.4 = 121.2 cm^2

29. MULTIPLE CHOICE What is the median of the data set? (Skills Review Handbook)
12, 25, 16, 9, 5, 22, 27, 20
(A) 7 (B) 16 (C) 17 (D) 18

Answers

Answer:

15.75

Step-by-step explanation:

first add

12+25+16+9+5+22+27+20=126

then divide by how ever many numbers there are in this case there's 8:

126÷8=15.75

PLEASE HALP IM TIMED!!! WILL GIVE 25 PTS
Vera claimed the solution set on the number line represents the inequality Negative 78.9999 greater-than-or-equal-to x.

A number line going from negative 83 to negative 77. A closed circle is at negative 79. Everything to the left of the circle is shaded.

Which error did Vera make?
Vera wrote the inequality with the variable on the left side of the relation symbol.
Vera wrote a relation symbol that does not represent the direction of the ray.
Vera selected an inequality that does not include –79 in its solution set.
Vera used the wrong number in her inequality.

Answers

So basically, we have [-83, -77] as the whole thing.
There's a circle that limits [-83, -79) as a shaded zone.

Vera claims that -78.9999 [tex]\geq[/tex] X, which is false.
Vera wrote a relation symbol that doesn't represent the ray's direction. She went the other way around.

???????????????????????????????????????????????????????????????????????????????????

Answers

Answer:

607.75 cm3

Step-by-step explanation:

v = L*w*h

8.5 * 5.5 * 13 = 607.75

607.75 cm3

Answer:

V= 8.5(5.5)(13)

V = 607.75 cubic inches

Step-by-step explanation:

Volume of a right rectangular prism is V=lwh where l is length, w is width, and h is height.

PLEASE HELP 3 QUESTION I'LL GIVE BRAINIEST

Answers

Answer:

corresponding angles= angle CAB and angle GEF

corresponding sides = side FE and AB

Step-by-step explanation:

please mark brainliest

Answer:

just so you can mark them brainlist :)

Step-by-step explanation:

PLs help !!!!! Find the area of the triangle

Answers

24units will be your answer
the correct answer is : 32unit

The picture shows a circular clock face.


The long hand of the clock is about 5 inches long. What is the approximate area of the clock face?

A. 5π
square inches

B.
10
π
square inches

C.
25
π
square inches

D.
100
π
square inches

Answers

Answer:

[C] 25π square inches

Step-by-step explanation:

Given that:

the long hand of the clock is about 5 inches long.

To Find:

What is the approximate area of the clock face?

Solve:

Formula - A =πr²

Note that;

π = 3.14 (about)

Radius - 5 inches

A =πr²

A = 3.14(5)²

A = 3.14(25)

A = 78.5

Now let see the answer choices:

A.  5π square inches                     ≈   5(3.14) = 15.7

B. 10 π square inches                    ≈  10(3.14) = 31.4

C. 25 π square inches                    ≈  25(3.14) = 78.5

D. 100 π square inches                    ≈ 100(3.14) = 314

Hence, the answer is [C] 25 π square inches

Kavinsky~

Answer:

[C] 25π square inches

Step-by-step explanation:

25(3.14) = 78.5

PLEAAAAAAAAAAAASEEEEEEEEEEEEE HELP!!!!!!!!! | In your own words, describe when you should use area, and when you should use volume in calculating the amount of space an object occupies.

Answers

I thinks this I hope it helps :)

ASAP!!!!!!!!!!

A student took 5 test in a quarter 3. His average was a 88. Four of his test scores were 87, 94, 86, and 100. What was his last test score? ( statistics) ( please write down or type it out! ) ty

Answers

Answer:

The last test score should be 73

Step-by-step explanation:

[tex]88 = \frac{( 87 + 94 + 86 + 100 + X )}{5}[/tex]  

Add all the values in the parentheses together to get:

[tex]88 = \frac{367 + X}{5}[/tex]

You want to remove the 5 next, so you multiply both sides by 5.

[tex]5 * 88 = \frac{367 + x}{5} *5[/tex]

[tex]88 * 5 = 440[/tex]

You should get:

[tex]440 = 367 + x[/tex]

The last step is to subtract both sides by 367:

[tex]440 - 367 = 73[/tex]

[tex]X = 73[/tex]

I hope this helps!

Answer: 73

Explanation: 87+94+86+100+73=440/5=88

I need the answer asap. Pls help

Answers

Answer:

-1/7

Step-by-step explanation:

-3/5(2/7)+4/35-3/10(2/7)

-3/5(2/7)+4/35-3/10(1/7)

-6/35+4/35-3/5(1/7)

-6/35+4/35-3/35

-1/7

14. MULTIPLE CHOICE The number of students in the marching band increased from 100 to 125. What is the percent of increase? (Skills Review Handbook) (A) 20% (B) 25% (C) 80%
(D) 500%

Answers

The percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

What is the percentage?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

It is given in the question that the number of students in the marching band increased from 100 to 125 so we need to find the percentage increase of the students.

The percentage increase of the students will be calculated as:-

% increase=[(125-100)÷(100)]x100

% increase=[(25)÷(100)]x100

% increase= [0.25x100]

% increase= 25%

Hence the percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

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( brainliest ) Answer A, and B.

Answers

First one I believe is 48 M and the second one is 32 M

54 points and brainly hurry up please

What is the interquartile range of this data set?

{18, 17, 10, 25, 20, 20, 30, 18, 18, 30, 25}



Enter the answer in the box.

Answers

The interquartile range of the data set is 7.

Step-by-step explanation:

The given set of data is {18 , 17 , 10 , 25 , 20 , 20 , 30 , 18 , 18 , 30 , 25}

Arrange the data in ascending order:

10 , 17 , 18 , 18 , 18 , 20 , 20 , 25 , 25 , 30 , 30

Divide the data in two equal parts:

(10 , 17 , 18 , 18 , 18), 20 ,(20 , 25 , 25 , 30 , 30)

Divide each parenthesis in 2 equal parts:

(10 , 17), 18 ,(18 , 18), 20 ,(20 , 25), 25 ,(30 , 30)

Now we can say that,

Q₁ = 18 , Median = 20 , Q3 = 25

Interquartile rage of a data is :

I.Q.R. = Q3 - Q1

I.Q.R. = 25-18 = 7

Therefore the interquartile range of the data set is 7.

Yea what they said. 8>

I GIVE BRIANLEST!!!!!!!!!!!!!!!!!!!!!!!!!!
Use the graph to find the relationship between the two variables. Select all that apply.

The variables are 2 and 7.

The variables are dollars and hours.

Hours is the independent variable and dollars is the dependent variable.

Dollars is the independent variable and hours is the dependent variable.

The relationship is x = 3.50y.

The relationship is y = 3.50x.

Answers

By using the graph, all of the true statements that apply include the following:

B. The variables are dollars and hours.

C. Hours is the independent variable and dollars is the dependent variable.

F. The relationship is y = 3.50x.

What is a proportional relationship?

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

y represents the cost in dollars.x represents the number of hours.k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3.5/1 = 7/2 = 10.5/3

Constant of proportionality, k = 3.50

Therefore, the required linear function is given by;

y = kx

y = 3.50x

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Missing information:

On a coordinate plane, a line goes through points (1, 3.5), (2, 7), (3, 10.5). The x-axis is labeled hours and the y-axis is labeled dollars. Use the graph to find the relationship between the two variables. Select all that apply.

Jenn's carpool ride has been late 4 days out of the past 20 days. What is the estimated probability, based on relative frequency, that her ride will be late tomorrow

Answers

Answer:

20% chance

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

What is the volume of the rectangular prism below?

Answers

Answer:

10 multiply by 8 multiply by 14

= 1120 in³

Answer:

the answer choice is C

Step-by-step explanation:

your welcome

37. One half of the water is poured out of a full container. Then one third of the remainder is poured out. Continue the process: one fourth of the remainder for the third pouring, one fifth of the remainder for the fourth pouring, etc. After how many pourings does exactly one ninth of the origiNl water remain?
Hint: What fraction of the water remains after 1 pour? After 2 pours? After 3 pours?

Answers

After the first pour the water remains 1/2, after the second 1/3, after the third is 1/4, and after 9 pour the water remains 1/10.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

After the first pour container has = 1/2

After the second pour = 1/3

Third pour = 1/4

After n pour = 1/(n+1)

n = 9

= 1/10

Thus, after the first pour the water remains 1/2, after the second 1/3, after the third is 1/4, and after 9 pour the water remains 1/10.

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A bat descends at a steady rate from 45.625 feet above the ground to a spot 36.5 above the ground in 3.75 seconds.

What is the bat’s change in elevation in feet per second? Round your answer to the nearest hundredth.

Enter the correct answer in the box.

Answers

Answer:  2.43

Step-by-step explanation:

PLS HELP ME I AM GIVING 35 POINTS questions in the image pls help so the there are 3 questions pls help the answer to the first one is 156.25cm the second is 221.76cm the thrid one answer is 65.51cm I have provided the answers pls explain how the answers came and the formula to all three questions.

Answers

Answer:

a) 156.25 cm^2  b) 221.67 cm^2  c) 65.42 cm^2

Step-by-step explanation:

a)

We know that the formula for the area of a quadrilateral is Length x Height (A = LH).

Since the length and height of a square is the same, L = 12.5cm and H = 12.5cm.

So we incorporate our formula for the area of a square into this situation:

A = 12.5 x 12.5

A = 156.25 cm^2

b)

We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).

Since we know that the diameter of the circle is 16.8cm, we will use this to find the radius.

Radius can be found by halving the diameter (r = d/2).

So we incorporate our formula for radius into this situation:

r = 16.8/2

r = 8.4cm

Now that we have our radius, we can find the area of our circle.

So we incorporate our formula for the area of a circle into this situation:

A = π(8.4)^2

A = 221.6707776 = 221.67 cm^2

c)

We can see from the diagram that the shaded portion come mainly from the circle.  So to find the area of the shaded part, we can simply subtract the area of the square, from the area of the circle (A of circle - A of square = Area of shaded part).

So we incorporate our formula for the area of the shaded part into this situation:

A = 221.67 cm^2 - 156.25 cm^2

A = 65.42 cm^2

first one is correct

A composite figure is shown, what is the volume of the composite figure?

Answers

The answer should be (504)

Which fraction is represented on the number line?

Answers

Answer:

The answer is [tex]\frac{4}{8}[/tex] (see the attached picture)

Step-by-step explanation:

the distance between 0 & 1 is divided into 8 sections, meaning each section = [tex]\frac{(1-0)}{8} =\frac{1}{8}[/tex]

please solve this. i need help

Answers

Answer:

23

Step-by-step explanation:

its going down lower minus by 6.

the x means the answer/number.

the answer is 23 of what i think

the answer to the is 23

can someone hel me please

Answers

1:
10=6
5=3
not sure
2:
triangle=16
circle=27
square=26
3: c
6: .78 per minute
7: they both have the same price one jaut has more ounces
7: they would make 10.56 dollars profit
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