An exhibit at Tabu World Square in Japan includes a scale model of the Empire State Building. The model was built using a scale of 1 m : 25 m. The height of the actual Empire State Building is 443.2 meters. What is the height of the model? Round your answer to the nearest thousanths place.

Answers

Answer 1

The scale is 1 m : 25 m.
The actual height = 443.2 m

Therefore the scaled height is 443.2/25 = 17.7280 m

Answer: 17.728 m (nearest thousandth)

Related Questions

How to find the angle of a non right triangle with its sides?

Answers

Essentially, you find the cos, sin, or tangeant of each angle. Take, for example, sin. It's opposite/hypotenuse, so you plug that in for an angle and find that sinx=for example, 3/4. After that, you'd find arcsin (3/4) and that's your angle!

please help me thanks!!

Answers

Your answer should be A) angle addition postulate; subtraction property of equality

for the first one, you are adding angles, and for the second, i believe it was suppose to be subtraction

hope this helps

A company produces two products, A and B. At least 30 units of product A and at least 10 units of product B must be produced. The maximum number of units that can be produced per day is 80. Product A yields a profit of $15 and product B yields a profit of $8. Let a = the number of units of product A and b = the number of units of product B. What objective function can be used to maximize the profit?

Answers

Let a = units of A produced
Let b = units of B produced

At least 30 units of product A and 10 units of product B are required daily, and the maximum number of units per day should not exceed 80.
Therefore
a ≥ 30
b ≥ 10
a + b ≤ 80

Product A yields a profit of $15 and product B yields a profit of $8.
Therefore the objectve profit function is
P(a,b) = 15a + 8b

Answer:
The objective function is
P(a,b) = 15a + 8b, subject to
a >= 30; b>= 10; a+b <= 80

Create a graph that displays the constraints and calculates maximum profit at the boundary points. The solution region is shaded.
The maximum profit occurs when a=70 and b=10.

p=15a+8b
is the answer

If EG=50,and point F is 2/5 of the way between E and G

Answers

2/5 of 50 is 20. 50-20=30. Making FG=30

The measure of the segment EF = 20 and the measure of the FG is 30.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the segment EG is 50 and the ratio of EF to EG is 2 to 5. The length of the segment EF and FG will be calculated as,

EF / EG = 2 /5

EF = ( 2 x EG ) / 5

EF = ( 2 x 50 ) / 5

EF = 2 x 10

EF = 20

The length of the segment FG will be calculated as,

EF / FG = 2 / 3

FG = ( 3 x EF ) / 2

FG = ( 3 x 20 ) / 2

Fg = 3 x 10

FG = 30

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4 + (27 - 12 ∙ 2) ÷ 2.

Answers

4 + (27 - 12 ∙ 2) ÷ 2
= 4 + (27 - 24) ÷ 2
= 4 + (3) ÷ 2
= 4 + 1.5
= 5.5

Decimal form - 5.5

Mixed number form- 5 1/2

Exact form- 11/2

An appliance company uses the function f(h) = 40h + 120 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(h) = $200.
8,120 hours
8,000 hours
5 hours
2 hours

Answers

f(h) = 40h + 120....when f(h) = 200

200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h <=== 2 hrs

here is the answer my friend . Hope you give me a thank for the answer.

You have a coordinate grid that is 96 x 96. assuming that you encode the x and y coordinate as separate numbers, what is the minimum number of bits that you will need to encode a coordinate in that space?

Answers

Final answer:

To encode a separate x and y coordinate on a 96 x 96 grid, you would need a minimum of 7 bits to represent each coordinate. This is because the nearest power of 2 above 96 is 128, which is 2^7.

Explanation:

The subject of this question deals with using binary numbers, or bits, to store data in two-dimensional space, such as with a coordinate grid or a digital image. In this specific case, a coordinate grid with a size of 96 by 96. When encoding the x and y coordinate as separate numbers, we are trying to represent numbers from 0 to 96, so we have 97 different values to represent.

To calculate how many bits you need to store an integer, the question becomes: how many powers of 2 (bits) does it take to store that many different values? The closest power of 2 greater than 96 is 128, which is 2 to the seventh power (2^7). Therefore, you would need a minimum of 7 bits to store a coordinate in that space.

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Which equation correctly applies the distributive property? 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25) −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67 (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2) −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)

Answers

the third one........hope this helps

Answer:

The correct equation that applies the distributive property is:

[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]

Explanation:

The distributive property states that for any real numbers [tex]$ a $, $ b $, and $ c $:[/tex]

[tex]\[ a \cdot (b + c) = a \cdot b + a \cdot c \][/tex]

Let's see which equation correctly applies the distributive property:

1. [tex]$ 2.4 \cdot (-3.4) \cdot (-1.25) = (-3.4) \cdot 2.4 \cdot (-1.25) $[/tex]

This equation doesn't correctly apply the distributive property. It just switches the order of multiplication, which doesn't demonstrate the distributive property.

2. [tex]$ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 $[/tex]

This equation correctly applies the distributive property. It breaks down the multiplication of [tex]$ -2.5 $ and $ (4 \cdot 3.67) $[/tex] into two separate multiplications.

3. [tex]$ (42 \cdot 3.5) + (42 \cdot 1.3) + (42 \cdot 5.2) = 42 + (3.5 + 1.3 + 5.2) $[/tex]

This equation doesn't apply the distributive property. It simply adds the products on the left side and compares it to the sum of the terms on the right side, which doesn't demonstrate the distributive property.

4. [tex]$ -3 \cdot (6.48) = (-3 \cdot 6) + (-3 \cdot 0.4) + (-3 \cdot 0.08) $[/tex]

This equation correctly applies the distributive property. It breaks down the multiplication of $ -3 $ and $ 6.48 $ into three separate multiplications.

So, the correct equation that applies the distributive property is:

[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]

if the square of a number decreased by the number is 12 then what is the number

Answers

The number is 4. Think about it! 4 squared is 16, subtract 4 is 12.

Evaluate the expression 8√8.41 +1.8

Answers

The value of the expression is 25

What is an expression?

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given is an expression, 8√8.41 +1.8

8√8.41 +1.8

= 8×2.9 + 1.8

= 23.2 + 1.8

= 25

Hence, the value of the expression is 25

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The approximate value of the expression [tex]$ 8\sqrt{8.41} + 1.8 $[/tex] is 25.016.

To evaluate the expression [tex]$ 8\sqrt{8.41} + 1.8 $[/tex], follow these steps:

1. First, approximate the square root of 8.41. The square root of 8.41 is approximately 2.902, because [tex]$ 2.902^2 \approx 8.41 $[/tex].

2. Now, multiply this approximate square root by 8:

[tex]\[ 8 \times 2.902 \approx 23.216 \][/tex]

3. Finally, add 1.8 to this result:

[tex]\[ 23.216 + 1.8 \approx 25.016 \][/tex]

Therefore, the approximate value of the expression [tex]$ 8\sqrt{8.41} + 1.8 $[/tex] is 25.016.

The answer is: 25.016.

Is the following relation a function?

Circle centered at the origin with radius 1

Yes
No

Answers

No, if you do the vertical line test( draw a vertical line on each graph line that hits the circle) if the lline touches more than one point AT ANY TIME it is not a function. So in this case it is not a function

Answer:

Nooooooooooooo

A total of 518 tickets were sold for the school play. they were either adult tickets or student tickets. there were 68 more student tickets sold than adult tickets. how many adult tickets were sold?

Answers

259 adult tickets were sold

By setting up two equations based on the total number of tickets and the difference in the number of student and adult tickets, we find that 225 adult tickets were sold for the school play.

To determine the number of adult tickets sold, we can set up two equations based on the information provided. Let A represent the number of adult tickets and S represent the number of student tickets.

The first equation comes from the total number of tickets sold: A + S = 518.

The second equation comes from the additional information about the number of student tickets being greater than adult tickets: S = A + 68.

We can substitute the second equation into the first to solve for A:

A + (A + 68) = 5182A + 68 = 5182A = 518 - 682A = 450A = 450 / 2A = 225

Therefore, 225 adult tickets were sold for the school play.

How can I factor 5r^2+23r+26

Answers

use quatratic formula

Answer:the factors are r= -2 or r= -2.6

Step-by-step explanation:

5r^2+23r+26=0

The equation cannot factorized

So the general formula would be used

r = [-b +-√(b^2 -4ac)]/2a

a = 5

b =23

c = 26

r =[ -23+-√(23^2-4×5×26)]/2×5

= [-23+-√529-520)]/10

=(-23+-√9)/10

=(-23+-3)/10

r = (-23+3)/10 or r= (-23-3)/10

r= -20/10 or r= -26/10

r= -2 or r= -2.6

Just wanna check my answers...find (f+g)(x) if f(x)=3x-7 and g(x)=x^2+3x-4

Answers

Find (f+g)(x), add the two expressions that equal f(x) and g(x). Then combine like terms.

3x-7+x^2+3x-4
x^2+6x-11

Final answer: x^2+6x-11

How many subsets of three elements each exist in a set of six elements?

Answers

How many subsets of three elements each exist in a set of six elements?
6C3 = (6*5*4)/(1*2*3) = 20

Find the distance between the given points. A(5, 3) and B(7, -4) Distance =

Answers

d=sqrt((7-5)^2+(-4-3)^2)
d=sqrt(2^2+(-7)^2)
d=sqrt(4+49)
d=sqrt(53)
d=7.28 units

For A(5, 3) and B(7, -4), the distance is is mathematically given as

What is the distance between the given points?

Generally, the equation for distance is mathematically given as

[tex]D=\sqrt{(x')^2+(y')^2)}[/tex]

Therefore

[tex]D=\sqrt((7-5)^2+(-4-3)^2)[/tex]

[tex]D=\sqrt{2^2+(-7)^2) }[/tex]

[tex]D=\sqrt(53)[/tex]

D=7.28 units

In conclusion, the distance is

D=7.28 units

Answers

1. 6137/9 = 681.88 = 682 weeks

2. 124 +150 +161 = 435/3 = 145 average

3. 2*5.00 = $10.00 + 6.25 = $16.25

4. 28*2 = 56, 26*2 =52, 56+52 = 108 feet of fence

5. 7 *2 = 14 hours

One day a store sold 21 sweatshirts. white ones cost $9.95 and yellow ones cost $ 11.50. in all, $235.30 worth of sweatshirts were sold. how many of each color were sold?

Answers

For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
9.95w + 241.5 - 11.50w = 235.30
-1.55w + 241.5 = 235.30
-1.55w = -6.2
w = 4, so 4 whites shirt were sold.

Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

w + y = 21
4 + y = 21
y = 17

So 17 yellow shirts were sold and 4 white shirts were sold.

What are the intercepts of 5x = 2y +4??

Answers

The y intercepts are when x=0 (the line crosses the y axis) and the x intercepts are when y=0 (the line crosses the x axis). Plugging x=0 in, we get 5*0=2y+4. Subtracting 4 from both sides, we get -4=2y and by dividing both sides by 2 we get y=-2, for one intercept to be (0, -2). For the other intercept, we make y=0 to get 5x=2*0+4=4. Dividing both sides by 4, we get x=4/5, making our other intercept (4/5, 0)

Last year, 1300 procedures were performed on 3900 patient visits. 33% of your patient visits involved a procedure. If you are able to increase that percentage to 45%, what is the number of procedures you will do this year?

Answers

Let x = number of procedures
y = number of patient visits
n = % (in decimal form)

Note:
Percentage form = 33%
Decimal form = 0.33
Conversion factor: 1 = 100%

Considering the first statement that 33% or 0.33 is derived from dividing 1300 procedures with 3900 patient visits.Then, our working formula is x/y = n.

If we are ask to increase the percentage to 45% or 0.45, then substitute this value to n in the formula. We subsequently get,

x/y = 0.45

Assuming the patient visits remains the same and substitute it in the formula. We subsequently get,

x/3900 = 0.45

Solving for x. We arrive at an answer of x = 1755 procedures.

Find the next two numbers in the pattern.
−12,60,−300,1500,
−, , . . .

Answers

It is -7500 and 37500.

Thad and his four family members are going to the fair. admission to the fair costs $8. books of ride tickets are $15. thad has $200. how much money will he have for food and souvenirs?

Answers

So first you have to do 5*8=40
And then 5*15=75
And add them together and you get
75+40=115
200-115=85
And you got 85 for food and souvenirs

What is the solution to x^2-8x+18=0 when written in the form a+or-bi?

Answers

THE ANSWER IS THE LAST ONE

find the measure of an angle between 0 and 360 coterminal with an angle of -271 in standard position. a. 181 b. 271 c. 89 d. 91

Answers

Masure of an angle co-terminal with an angle of -271 in standard position is

360° - 271° = 89° (answer c)

Answer:

C) 89 degrees

Step-by-step explanation:

Given:

The given angle is -271. which is standard position

We have to subtract 271 from 360 to find the required angle.

= 360 -271

= 89 degrees.

The answer is C) 89 degrees

Hope this will helpful.

Thank you.

John has 305 and he spending 3 each day which algebraic expression describes this situation where d represents the number of days

Answers

305 = 3d

d = number of days

hope this helps

what is the solution of -3p+4<22?

Answers

-3p+4<22
4-22<3p
-18<3p
-18/3<p
-6<p
p>-6

There are 250 students taking either band or chorus. if there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus? 10 60 70 120

Answers

there are only 70 students in chorus.

I think the answer is: "70"

A line has a rise of 6 and a slope of 1/20. Find the run of the line. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar.

Answers

y=0.05x+6

6 is the y intercept

.05 or 1/20 is the slope

Answer:

120 is the run of the line

Step-by-step explanation:

Hello, i think I can help you with this

By definition , the slope of a line is given by:

slope(m)=Δy/Δx

where m is the slope, Δy is the rise, and Δx is the run

Step 1

isolate the run (Δx)

m=Δy/Δx

m*Δx=Δy

Δx=Δy/m

step 2

pute the values into the formula

Let

Δy=6

m=1/20

Δx=Δy/m

Δx=6÷(1/20)

Δx=120

the run of the line is 120

Do not hesitate to ask me any questions,Have a fantastic day.

Really need help with #57!

Answers

now, when the candle fully burns, its final height "h" is 0, because, well the candle is not longer standing, it burned completely all you have is a bunch of hot wax on the candle holder, so h = 0.

[tex]\bf r=\sqrt{\cfrac{kt}{\pi (h_o-h)}}\qquad \begin{cases} h=0\\ r=0.875\\ h_o=6.5\\ k=0.04 \end{cases}\implies 0.875=\sqrt{\cfrac{0.04t}{\pi (6.5-0)}} \\\\\\ \textit{now we square both sides}\quad 0.875^2=\cfrac{0.04t}{65\pi }\implies 65\pi \cdot 0.875^2=0.04t \\\\\\ \cfrac{65\pi \cdot 0.875^2}{0.04}=t\implies \stackrel{minutes}{3908.58}\approx t[/tex]

which is 65 hours and 8 min and about 35 seconds. Or 2 days and 17 hours and 8 mins and 35 secs.

In the circle shown below T is the center of the circle, and segments PN and SQ are diameters, and segment PR is tangent to the circle. The measure of angle SQN is 66 degrees

33 degrees
42 degrees
66 degrees
48 degrees

Answers

Angle SQN = 66 degrees (given)
----------------------------
Use the inscribed angle theorem to get

Minor Arc SN = 2*(angle SQN)
Minor Arc SN = 2*(66)
Minor Arc SN = 132 degrees
----------------------------
Arc PSN is a semicircle so it is 180 degrees, meaning that...

Arc PSN = (minor arc PS) + (minor arc SN)
180 degrees = (minor arc PS) + (132 degrees)
180 = (minor arc PS) + 132
180 - 132 = (minor arc PS) + 132 - 132
48 = minor arc PS
minor arc PS = 48 degrees
central angle RTP = minor arc PS = 48 degrees
----------------------------
Focus on triangle PTR; isolate angle PRT

(angle TPR) + (angle PRT) + (angle RTP) = 180
(90) + (angle PRT) + (48) = 180
(90+48) + (angle PRT) = 180
138 + (angle PRT) = 180
138 + (angle PRT) - 138 = 180 - 138
angle PRT = 42 degrees
----------------------------
----------------------------
Final Answer:
The measure of angle PRT is 42 degrees

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