It is important for engineers design and building so understanding the relationship between the height and volume of the building. A taller building if not billed correctly is more likely to collapse, because a small increase in height leads to a large increase in volume. an engineer builds to build a models of different sizes in the shape of square blocks . the smaller building has a height of 1m, and volume of 1m^3. The volume of the larger building is 125m^3. The height of the building, represented by X, is equal to the cube root of the buildings volume. The equation below can be used to find X, in meters. X^3=volume determine how much taller, in meters, the height of the larger building is then the smaller building.Mm

It Is Important For Engineers Design And Building So Understanding The Relationship Between The Height

Answers

Answer 1

Answer:

Larger building is 4 meters taller than smaller building.

Step-by-step explanation:

Formula to get the height 'x' of a building having volume = x³ is,

x = [tex]\sqrt[3]{\text{Volume of the building}}[/tex]

Height of the smaller building,

[tex]x_1=\sqrt[3]{1}[/tex]

[tex]x_1=1[/tex]

Similarly, height of the larger building = [tex]\sqrt[3]{125}[/tex]

                                                               = [tex]\sqrt[3]{5^3}[/tex]

                                                               = 5 meters

Difference in the heights of the buildings = 5 - 1

                                                                     = 4 meters

Therefore, difference is the height of larger and smaller building is 4 meters.


Related Questions

2.
Here is a recipe for Scones
Scones
Serves 8 people
Butter 60g
Flour 270g
Baking Powder 2 teaspoons
Buttermilk 180ml
How much of each ingredient would be needed to make scones for 2 people?​

Answers

Butter=15g
Flour=67.5g
Baking powder=half a teaspoon
Buttermilk=45ml

What is the solution to the system of equations below?
2x + 5y = 32

Answers

Answer:

x = 16 -5/2y

Step-by-step explanation:

2x + 5y = 32

2x = 32 -5y

/2 /2

x = 16 -5/2y

Answer:

y= 2x/5 + 6.4

Step-by-step explanation:

divide both sides by 2x

5y = 2x + 32

divide both sides by 5

y = 2x/5 + 6.4

follow same step to solve for x except first divide by 5y instead of 2x

please help omg ‍♀️ !!

Answers

Answer:

first blank: 50-10=40

second blank: 50-20=30

third blank: 50-25=25

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

                                              40  30  25

10     20        25

40    30        25

Do the ratios 7/3 and 6/2 form a proportion.

Yes or no

Answers

Answer:

no  it not really the same

Step-by-step explanation:

Answer:

No they are not proportional

Step-by-step explanation:

You first cross multiply

since the products do not match they are not proportional

If you have any more quesitons feel free to ask - Mark

The Greatest Common Factor (GCF) of 24, 36, and 48 is O A. 2 O B. 24 O C. 12 O D. 6​

Answers

Answer: C. 12

Step-by-step explanation:

Answer:

Greatest common factor (GCF) of 24, 36, 48 is 12.

Step-by-step explanation:

i searched it up;)

need help with area answer me questions would be nice

Answers

No question you guys make this easy

A pair of Jordans is normally $180. It is on sale for 20% off.
Find the price after the discount.

i need helpppp

Answers

Answer:

144$

Step-by-step explanation:

180/100 = 1.8 subtracted from the price per percent

1.8*20 = 36

180-36 = 144

will give brainliest to right answer please help!! 15 points -A sample of a radioactive isotope had an initial mass of 370 mg
in the year 2000 and decays exponentially over time. A
measurement in the year 2008 found that the sample's mass
had decayed to 110 mg. What would be the expected mass of the
sample in the year 2017, to the nearest whole number?

Answers

Answer:

78 mg

Step-by-step explanation:

370 mg - 110 mg = 260 mg (amount decayed in the 8 total years)

260 mg ÷ 8 years = 32.5 mg decayed per year

32.5 × 9 years (years between 2008 and 2017) = 292.5 mg

370 mg - 292.5 mg = 77.5 mg, rounded to 78 mg

the expected mass of the sample in the year 2017, to the nearest whole number is 0.

What is the formula for exponential growth and exponential decaying function?

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

Given, Initial mass(y₀) = 370 mg.

After 8 years (t = 8) the mass decayed to y₈ = 110 mg.

∴ 110 = 370.e^(-8k).

e^(-8k) = 3.36.

lne^(-8k). = ln(3.36).

- 8k = 1.28.

k = - 1.28/8.

k = - 1.6.

Now expected mass of the sample in 2017 which in 9 years from 2008 will be,

y = 110.e^(-1.6×9).

y = 110.e^(-14.4).

y = 110/e^(14.4).

y = (110/1794074.78).

y = 6.13^(-5) mg.

y = 0.0000613 mg.

learn more about exponential decay here :

https://brainly.com/question/2193799

#SPJ5

How much greater is 68grams compared to 62grams.
Give your answer as a percentage to 2 significant figures.

Answers

Answer:
9.7%

Explanation:
68 - 62 = 6
6/62 = 3/31
3/31 x 100 = 9.7%

68 grams is 8.82% greater than 62 grams.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

68 grams and 62 grams.

The difference between 68 and 62 grams.

= 68 - 62

= 6 grams

The percentage of difference.

= 6/68 x 100

= 8.82%

Thus,

68 grams is 8.82% greater than 62 grams.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Find the greatest common factor pf 110, 40, and 120

Answers

Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 110 are: 1, 2, 5, 10, 11, 22, 55, 110

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Then the greatest common factor is 10.

math su.cks......................................................................................................................................................................................................................... on suc.kers! i like bad jokes.

Answers

Answer:

Step-by-step explanation:

Ok

Answer:

what

Step-by-step explanation:

:(

share £160 in the ratio 1:9

Answers

Answer:

£16 : £144

Step-by-step explanation:

sum the parts of the ratio , 1 + 9 = 10 parts

Divide the amount by 10 to find the value of one part of the ratio

£160 ÷ 10 = £16 ← value of 1 part of the ratio, then

9 parts = 9 × £16 = £144

£160 in the ratio 1 : 9 is £16 : £144

A car is 180 inches long. A truck is 75% longer than the car.How long is the truck?

Answers

Answer:

The truck is 315 inches long.

Step-by-step explanation:

Answer:

the truck is 315 inches long


Rena's rowboat drifts 23 feet from shore,
followed by 9 more feet. The rowboat's current
position can be represented by -23 + (-9). What
integer represents the rowboat's position?

Answers

Answer: 23 + 9 = 32

Step-by-step explanation:

Solve the following equation: 2x – 4 = 4x +8. Make sure to not only solve the problem, but to list out the steps using academic vocabulary.

Answers

Answer: x = -6

Step 1: 2x = 4x+8+4
Step 2: 2x-4x = 12
Step 3: -2x = 12
Step 3: x = -6

 ¿Qué numero es mayor que -5/4?

-3/2

-1

-2

-3/4

Otros:​ me escriben cuál es

Answers

Answer:

10 /8es una fracción equivalente a5/4 15/12 y multiplica el número por un mis mo número y te saldrán infinitoss

Answer:

3/4 es mayor que -5/4 ..........

The sum of a number x and 2,496 is 17,344. What is the value of x

Answers

Answer:

x = 14,838

Step-by-step explanation:

equation is

x + 2,496 = 17,344

x = 17,344-2,496

x = 14,838

hope it helps you ☺️

The value of x when the sum of a number x and 2,496 is 17,344 should be considered as the 14,838.

Calculation of the value of x:

Since The sum of a number x and 2,496 is 17,344

So here the following equation be applied

x + 2,496 = 17,344

x = 17,344-2,496

x = 14,838

hence, The value of x when the sum of a number x and 2,496 is 17,344 should be considered as the 14,838.

Learn more about sum here: https://brainly.com/question/13877879

A museum has an aquarium in the shape of a right rectangular prism that is 22.9m long, 7.5m wide and 4.6m high. What is the volume, rounded to the nearest cubic meter, of the aquarium?

Answers

Answer: The volume of the aquarium = 790 cubic meters

Step-by-step explanation:

Volume of rectangular prism = length x width x height

Given: An aquarium is in the shape of a right rectangular prism that is 22.9m long, 7.5m wide and 4.6m high.

Volume = [tex]22.9\times7.5\times4.6[/tex]

i.e. Volume = 790.05 cubic meters

i.e. Volume ≈ 790 cubic meters  (rounded to the nearest cubic meter)

Hence, the volume of the aquarium = 790 cubic meters (approx)

d
f
5 50
10 100
15 150
20 200
Each week, Raymond orders 10 pounds of dog food for each dog at the local animal shelter. The table shows the relationship
between the number of dogs, d, and the pounds of dog food, f.
Which equation models the relationship between the independent and dependent variables?
A)
d = 10f
B)
f = 100
C)
d = 10 + f
D)
f = 10 + d

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I got A because if D= 10f that means the number of dogs (5) multiplied by 10 would be 50 (Pounds of dog food)

DOMAIN AND RANGE PLS HELP

Answers

Answer:

44

Step-by-step explanation:

The range is possible y-values so we just plug in all the domains to find the range

When x=-4, y=44

When x=0, y=0

When x=1, y=-1

When x=2, y=2

When x=3, y=9

When at the function at x=4, it is the largest so y=46

if zaeirr has 10 dogs and lamarr has 2 dogs how many more dogs does zaeirr have than lamarr?

Answers

Answer: 8

Step-by-step explanation:

For this problem, we would have to subtract the larger number of dogs by the smaller number of dogs. Zaierr has 10 dogs, and Lamarr has 2 dogs. We would have to subtract the number 10 by the number 2 to get our answer.

10 subtracted by 2 is equal to the number 8.

The answer to our question is 8.

10-2 = 8

So Zaeirr has 8 more dogs

Selena's favorite chocolate chip cookie recipe calls for 111 teaspoon of salt for every {2 \dfrac{1}{4}}2
4
1

2, start fraction, 1, divided by, 4, end fraction cups flour.
In Deepak’s recipe, the relationship between teaspoons of salt (\text{t})(t)left parenthesis, start text, t, end text, right parenthesis and cups of flour (\text{c})(c)left parenthesis, start text, c, end text, right parenthesis is shown on the graph below.
Whose cookies are saltier?

Answers

Answer:

Deepak’s

Step-by-step explanation:

I know it is cause I have the same question on khan academy and I got it right.

So you can just trust me

I'll show you

can someone help I will mark you! ❤️❤️❤️

Answers

Answer:

slope is 3/2

Step-by-step explanation:

To solve for slope: y2-y1/x2-x1.

2 points can be (3,1) and (5,4)

4-1/5-3 ---> 3/2.

Also the slope is going up by 3 units and across by 2 units

-6 + (-7) = adding negative numbers

Answers

Answer:

Step-by-step explanation:

Adding 2 negative numbers is like subtracting. You do -6 - 7. Negative 7 is literally - 7. -6 -7 = -13

Answer:

-6 + (-7) = -13

HELP PLS 20 POINTS AND IF UR ANSWER IS RIGHT I GIVE THE BRAINLY CROWN



yeah i need help with this explain it if you want cause my brain cells went poof

Answers

Answer:

A

56000

700

Step-by-step explanation:

Calculate to determine that correct answer. there should be no remainder

Answer:

A is the correct answer for you equation I hope this got you an A goodbye and thank you

Find the value of x and y,

Can someone help???

Answers

Answer:

x is 30° and y is 20°.

Step-by-step explanation:

In an equilateral triangle all the angles form 60°.

1) 2x = 60

x = 60/2

x = 30°.

2) 3y = 60

y = 60/3

y = 20°.

x is 30° and y is 20°.

Answer:

y=20

x=30

Step-by-step explanation:

All the angles in an equilateral triangle is equal to 60 degrees. Knowing this, we can set up the following equations:

3y=60

2x=60

3y=60

Divide both sides by 3

3y/3=60/3

y=20

2x=60

Divide both sides by 2

2x/2=60/2

x=30

I hope this helps!

The length of the base of a square pyramid is 30cm. The height of the pyramid is 45cm. What is the volume of the pyramid in cubic cm?

Answers

Step-by-step explanation:

45x30=1350cm

the ans is 1350cm

three times a number is 180 less than seven times the number. what is the number?

Answers

i think it would be 45!

Use an informal argument to find the value of
X.
answer asap!

Answers

Answer:

x= 115

Step-by-step explanation:

hope it helps

solve using the quadratic formula

Answers

X=0

Hope you have a great day
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