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

PLZZ HALPMMELOL PLZZ it’s due 20 min

Answers

Answer: They ate 5/8 of the salad

Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.

Step-by-step explanation:

they ate 5/8 salad

3/8+ 2/8 = 5/8

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful.

Cost price = £40
Selling price = £48
Calculate the percentage profit

Answers

There is 20 percent profit

Find the product of (x − 3)2.

x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9

Answers

Answer:

The answer is number 3

Step-by-step explanation:

[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]

Answer:

answer- 3

Step-by-step explanation:

9(x−3)

2

=x

2

−6x+9

Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)

Answers

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

To learn more about the quadratic equation;

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Mario travels 180 miles in 2.5 hours . If Mario travels at the same rate, how far can Mario travel in 1 hour ?

Answers

Answer:

i have no idea.

Step-by-step explanation:

thug life.

Factor the expression: 12r-12

Answers

Answer:

12 (r-1)

Step-by-step explanation:

Both terms have 12 as a common factor, so you can factor it out.

Answer  And  explanation :

common factor

12—12

12(r—1)

solution:

12(r—1)

Given an integer, how do you find its opposite? Complete the explanation. Find the integer that is the same distance from _ but on the _ side of 0

Answers

Answer:

simply need to change its sign

Step-by-step explanation:

To find the opposite value of an integer you simply need to change its sign. Meaning that if a given integer is positive then you change the positive into a negative. This would give you the opposite value of that integer which is located at the same distance from 0 but on the other side of the number line. For example, the opposite value of 5 would be -5, while the opposite value of -8 would be 8

Step-by-step explanation:

Find the integer that is

the same

distance from

0

but on the

other

side of 0.

Elisa puts $1,000 into each of 2 bank accounts.
Account A: 3% interest rate, compounded annually, which is
growth
Account B: $40 bonus added to the account each year, which is
growth

Answers

Answer:

exponential

linear

$1092.73

$1120

account b

account a

Step-by-step explanation:

on the test now.

Anna ran 10 meters, Bill ran 15 meters, and Chloe ran 20 meters. How many centimeters did the three people run?

Answers

Answer:

Anna: 1000cm

Bill: 1500

Chloe: 2000

convert m to cm

Answer:

4500 cm

Step-by-step explanation:

1 meter = 100 cm

10 meters = 1000 cm

15 meters = 1500 cm

20 meters = 2000 cm

1000 + 1500 + 2000 = 4500 cm

Please help!! Pleaseeee​

Answers

Answer:

pretty sure its the first and 3rd one sorry if im wrong

Step-by-step explanation:

B
27 m
24 m
18 m
List angles largest to smallest

Answers

Answer:27,24,18

Step-by-step explanation:

sorry if it’s wrong but I think so

help fast please!!!!

Answers

Answer:

OK this is easy the answer is r=2.4

Step-by-step explanation:

so what you would do is simply add 3.1 and 1.7to get 4.8

then you would divide 4.8 by 2 and get r=2.4

Please help me !!!!!!!

Answers

Answer:

C. Both (1,11) and (-1,-5)

Step-by-step explanation:

Ok so,

let's try to plug in the first ordered pair into the equation. It should look like this:

11 = 8+3

11=11      CORRECT

now let's try to plug in the second ordered pair. it should look like this:

-5 = -8+3

-5 = -5      CORRECT

hope this helps. have a good day!!

Triangles please and thanks

Answers

Answer:

60 degrees

Step-by-step explanation:

All sides are equal so it is an equilateral triangle.

Equilateral triangles have 60 degree corners.

60 I answered it and got it right

In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon​

Answers

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.

Estimate 73% of 120

Thanks if you help!

Answers

Answer:

73/100 (120)

answer:-87.6

Answer:

87.6

Step-by-step explanation:

[tex]\frac{73}{100}[/tex] = [tex]\frac{x}{120}[/tex]

73*120/100= 87.6

Write the unit rate for $17 for 5 cards

Answers

Answer:

$3.40 per card

Step-by-step explanation:

To find the unit rate, divide the total cost ($17) by the number of cards (5 cards):

 $17

--------------- = $3.40 per card

   5 cards

Answer: $3.4

Step-by-step explanation: If 5 cards cost $17

Divide 17 by 5 : 17/5

Your result will be 3.4

Meaning 1 card cost $3.4

50 POINTS HELP PLS ASAP

Answers

Answer:

G

Step-by-step explanation:

Your research shows that you typically receive a 24% return response from the guest satisfaction surveys you send out. How many guest satisfactions surveys will you need to send out to make certain you receive at least 300 surveys back?

Answers

Answer:

1250

Step-by-step explanation:

The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.

Calculation of the number of guest satisfaction:

Since the return is received i.e. 24%

And, there are the minimum of 300 surveys

So, based on this, the no of guest satisfaction should be

[tex]= 300 \div 0.24[/tex]

= 1,750

hence,  The number of guest satisfaction surveys will you need to send out to make certain you receive at least 300 surveys back is 1,250.

Learn more about survey here: https://brainly.com/question/22497309

The RADIUS of the barrel is 9.5.

What is the circumference of the barrel?

Answers

Answer:

19

Step-by-step explanation:

D=2r

D = 2(9.5)

   = 19

Can someone please help?!?!?!?!

Answers

Slope = Rise of y (up or down) / run of x (left or right)
So 160/200 equates to 4/5
The slope is 4/5

Find the value of 71° + 72° + 73° + 74° + 75º.
Quick answer

Answers

Add them up and you get 365°

I WILL GIVE BRAINLIEST TO WHO WRITES THE STEP(WORK) DOWN! NOT JUST AN ANSWER!!!
x/4 < −1.5

Answers

Answer:

x < -6

Step-by-step explanation:

[tex]\frac{x}{4} < -1.5[/tex]

to isolate x, multiply both sides by 4

[tex](4) \frac{x}{4} < -1.5 (4)[/tex]

which gives you:

x < -6

From a group of 280 children, 14 made the swim team. What percent of the children is this?

PLEASE HELP, ILL GIVE BRAINLIEST

Answers

Answer:

5%

Step-by-step explanation:

14/280 is 5%. (Brainliest pls?)

Answer: I think it is 39.2 percent

Step-by-step explanation:

Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis?

Answers

Answer:

They are perpendicular to each other.

Step-by-step explanation:

It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.

Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.

Answer: C they are perpendicular to each other

Step-by-step explanation:

I took the test and got C

Priya creates a scatter plot showing the relationship between the number of steps she takes and her heart rate. The correlation coefficient of the line of best fit is 0.88.


1. Are they correlated? Explain your reasoning.

2. Does either of the variables cause the other to change? Explain your reasoning.

Answers

Answer:

Positive correlation exists ;

Number of Steps taken will cause heart rate to increase.

Step-by-step explanation:

Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.

Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.

Correlation between number of steps taken and heart rate.

Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

What is Correlation Coefficient?A correlation coefficient shows how corelated two variables are.Correlation coefficient ranges from -1 to 1.The closer the correlation coefficient is to -1 or 1, the stronger the correlation between two variables.

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

Learn more about correlation coefficient on:

https://brainly.com/question/4219149

What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3

Answers

Answer:

A.21

Step-by-step explanation:

We can use trigonometry to slove for sides in this triangle...

Using the 60 degree angle...we can solve for x.

We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.

And since we're using tangent, we have to use opposite/adjacent

We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,

and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should

get an answer of 21

Simplify the expression.
4X2 + 10x -6 / 2x-1

a. -x+5
b.2(x+3)
c.x+3
d.2x-6

Answers

Answer:

4x2+7x−1

Step-by-step explanation:

Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7

Answers

Answer:

The equation for this slope will be y=7x-5

Step-by-step explanation:

Hope this helped

Question 1 of 25
f(x) = 3x2 + 6x - 5
g(2) = 4x3 – 5x2 + 6
Find (f + g)(2)
O A. (f +9) (c) = 4x + 3x2 + 112 +1
O B. (f +g)(x) = 723 + 2? + 1
O c. (f +g)(x) = -4x3 + 8x2 + 6x – 11
O D. (f +g)(x) = 4x3 – 2x² +63 +1

Answers

Answer:

D

Step-by-step explanation:

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