How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?

Answers

Answer 1

Answer:

The stack of blocks is 25.96 inches tall

Step-by-step explanation:

Volume of a Cube

Suppose we are given a cube of side L, the volume is calculated by:

[tex]V=L^3[/tex]

If the volume is given, the side can be found by solving for L:

[tex]L=\sqrt[3]{L}[/tex]

We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.

Block 1, volume =375 cube inches:

[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]

Block 2, volume= 648 cube inches:

[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]

Block 3, volume =1029 cube inches:

[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]

Total height=[tex]7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch[/tex]

The stack of blocks is 25.96 inches tall


Related Questions

A rectangular prism is 12 cm long, 6 cm wideand 5 cm high. What is the volume of the rectangular prism?

Answers

The answer to the question in thirty two centimeters and volumes

help me please what is i really need help

Answers

Answer: -50.4

Step-by-step explanation: -6.3 x 8 = -50.4

The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of
symmetry of the transformed graph?

Answers

Answer:

x = -1

Step-by-step explanation:

The axis of symmetry of the graph [tex]y=(x-3)^2[/tex] is  x=3 but,

If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:

[tex]x=3-4\\x=-1[/tex]

-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is

(-1 , -2) I attached an image so you can visualize clearly

PLS HELP !!
A computer normally sells for $520. During a sale, the computer is
discounted 15% off. How much will it cost to buy the computer during the
sale? (Sale Price)

Answers

Answer:

$442

Step-by-step explanation:

Multiply the sales price by the discount percentage. This is the total discount that was taken off.

$520 x 15% = $78.

Subtract the discount amount from the sales price. This gives you the amount that the computer costs after the discount.

$520 - $78 = $442

The computer costs $442.

Ariana has a dimes and y nickels. She has at most 12 coins worth a minimum of
$0.85 combined. Solve this system of inequalities graphically and determine one
possible solution.

Answers

9514 1404 393

Answer:

  see attached (7 dimes, 5 nickels)

Step-by-step explanation:

The inequalities are plotted in the attachment. The solution shown is ...

  (x, y) = (7, 5)

7 dimes and 5 nickels are 12 coins worth $0.90. This is the maximum number of coins, worth more than $0.85.

Drag the tiles to the correct boxes. Not all tiles will be used.
What are the domain and the range of function f?

Answers

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

How to determine the domain and the range

In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.

By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

By undestanding the theory behind rational functions and functional theory, we conclude that the function have:

Domain: (- ∞, - 3) ∪ (- 3, + ∞)

Range: (- ∞, 0) ∪ (0, + ∞)

To learn more on rational functions: https://brainly.com/question/27914791

#SPJ1

Answer:

Range: (negative infinity, 0) U (0, 1/9) U (1/9, infinity)

Domain: (negative infinity, -3) U (-3, 6) U (6, infinity)

Step-by-step explanation:

100% on the test

Diego compro un libro y tres cuadernos,pago por ellos 180 solo recuerda que el libre le costó el doble de lo que le costaron los tres cuadernos juntos

Answers

Answer: Cada cuaderno cuesta 20, y el libro 120.

Step-by-step explanation:

Vamos a definir:

L = precio de un libro

C = precio de un cuaderno.

Sabemos que Diego compro un libro y tres cuadernos por 180, entonces tenemos:

1*L + 3*C = 180

También sabemos que el libro costo el doble de lo que costaron los 3 cuadernos juntos, entonces:

L = 2*(3*C) = 6*C

Tenemos un sistema de ecuaciones:

1*L + 3*C = 180

L = 6*C

Para resolverlo, podemos reemplazar la segunda ecuación en la primera, para así obtener:

1*(6*C)  + 3*C = 180

6*C + 3*C = 180

9*C = 180

C = 180/9 = 20

Cada cuaderno costo 20.

Y el precio del libro se puede obtener con la ecuación:

L = 6*C = 6*20 = 120

El libro costo 120

A water tank contains 19 gallons of water. Raymond begins to add water to the tank at a rate of 7 gallons per minute. Which equation can be used to find y, the gallons of water in the tank after x minutes?
A y = 19x + 7
B y = x + 26
C y = 7x + 19
D y = 19x + 7x​

Answers

Answer:

C y = 7x +19

Step-by-step explanation:

There are 19 gallons in the water tank and 7 gallons are added when you take x amount of minutes, which gives you y.

An example is 1 minute.

Y = 7(1) + 19

y = 7 + 19

y = 26

You have to remember that there are 19 gallons already in the tank and that 1 minute has passed, which means 7 gallons have been added. Thus there are 26 gallons in the water tank.

Hope this helps. :)

Answer:

I think the answer is A hopefully this helps

The value of x is -14. Order these expressions from least to greatest:

x1−xx−1-1÷x

Answers

Answer:

-197

Step-by-step explanation:

x1-xx-1-1÷x

-14(1)+14(-14)-1-1÷-14

-14-196-1(-1÷-14)

-211+14

-197

Answer:

x-1, x, 1-x, -1/x

Step-by-step explanation:

TVs are measured by
their diagonals. If a 60
inch TV has a height of
24 inches, how wide is
the screen?

Answers

Answer:

Step-by-step explanation:

Diagonal is 60 inches, height is 24 inches so

60^2 = 24^2 + width^2

6.25 inches

Triangle A is rotated 270° counterclockwise with the origin as the center of
rotation to create a new figure. Which triangle shows the new location?

Answers

Answer:

B

Step-by-step explanation:

The triangle which shows the new location would be Triangle B.

What is the rotation used?

From the coordinates of XYZ transformed to coordinates of triangle X'Y'Z', we can see that the transformation pattern is;

(x, y) -----> (-y, x)

Consider the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation, Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Case 2: If the point is in second quadrant:

Subcase: Clockwise rotation, Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

On origin, No effect as we assumed rotation is being with respect to origin.

Now, this pattern of transformation occurs when Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure.

However, the other rotation that can be used to achieve this is a 270° counterclockwise rotation. so the correct option triangle is B.

Read more about rotation at;

brainly.com/question/4289712

#SPJ6

The population of a town called Smallville grows by 3,000 people every year. After 7 years of the town's development, the population is 31,000 people. Find the equation for this situation, letting x represent time (in years) and y represent the town's population. Show your work below:​

Answers

52.7 hours the person above me is right

You had $24 to spend on eight
raffle tickets. After buying them
you had $8. How much did each
raffle ticket cost?

Answers

Answer:

$2 each ticket is 2 dollars

The sum of the firstnith term of series
is given by Sn = n2+ 5 n-6. Find the
general term (tn) and (+20)​

Answers

Answer:

Tn = 2n+4

T20 = 44

Step-by-step explanation:

Given Sn = n²+ 5 n-6

Tn = Sn - Sn-1

Sn-1 = (n-1)² + 5(n-1) - 6

Tn = n²+ 5n-6 - ((n-1)² + 5(n-1) - 6))

Tn = n²+ 5n-6-(n²-2n+1+5n-5-6)

Tn = n²+ 5n-6-n²+2n-1-5n+5+6

Tn = 2n-7+11

Tn = 2n+4

Get the general term is 2n+4

To get the 20th term;

T20 = 2(20) + 4

T20 = 40+4

T20 = 44

Hence the 20th term of the sequence is 44

A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as
the cylinder.

Answers

Formula for the cylinder = V=πr2h

Formula for the cone = 1/3πr²H

Description:

So if the  cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.

Formula:

Vcone = 3Vcone

Vcylinder = 360cm³

Vcone = 1/3 360cm³ = 120cm³

Answer: 120cm³

Hope this helps.

Solve the system by the method of your choice. Write your answer as a coordinate point (x,
y)
-6x + 5y = -27
- 3x + 3y = -115

Answers

(x,y) (-494/3, -203)

solve 16y² = 36 using the square root property

Answers

Answer:

2/3-3/2

Step-by-step explanation:

Simplify the expression.
. [tex]$8x-5+2x$[/tex]

Answers

Answer:

[tex]10x - 5[/tex]

Step-by-step explanation:

Combine like terms

the answer is 10x-5 :)

What are the answers here?

Answers

Answer:

1) =3

2)and 3) y-3x-2

Step-by-step explanation:

Hope that help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

This is using point-slope form, I don’t know if you know how to do that but you basically take both coordinates and subtract y2-y1/x2-x1=(answer) which are labeled in the picture. Then you choose a coordinate to substitute into the point-slope equation so I used the first coordinate in the picture. Then you distribute and the rest is shown. Hope this helps

Somebody help!!! Please!!!

Answers

Answer:

y = -1 !!!!!!!!!!! :)))))))))))))

Answer:

y=-1

Step-by-step explanation:

symmetry is where it is the same on both sides, so that would be the line between the top and bottom point and because they are up and down it is a y whereas if it were side to side it would be x. it is on the left side which are negatives and it is one over to the left making it y=-1

The air pressure P is inversely proportional to the altitude h. write the related variation equation

Answers

Step-by-step explanation:

P * h = k, where k is a real constant.

PLEASE SOMEONE DO THIS FOR ME: Determine the x - and y - intercepts of the following linear function: 4x + 8y =16

Answers

4x+8y=16

4x/4+8y/8=16÷4/8

x+y=16×8/4

x+y=16×2

x+y=32

I need help solving ​

Answers

Answer:

well if you're looking for angles then

angle ADB = 30°

angle CBD = 80°

angle CDB = 120°

but they asked to classify triangle ADC ,whose measurements are 90° , 40° and 50° ...so of they're asking what type of triangle then it is a right angled triangle.

Answer:

Triangle ADC is a right triangle.

Step-by-step explanation:

Triangles Classification

An acute triangle is a triangle with three acute angles or with less than 90° each.

An obtuse triangle has one obtuse angle or more than 90°.

A right triangle has one right angle of 90°

From the figure, we can see angle D is marked as a right angle (90°), thus triangle ADC is a right triangle.

To complete the answer, triangle ADB is obtuse (has an angle of 100°), and triangle ABD is acute.

6. 5x + 3x + 38+5x-10 180

Answers

Answer:

38

Step-by-step explanation:

Simplifying

6 + -5x + -3x = 38

Combine like terms: -5x + -3x = -8x

6 + -8x = 38

Solving

6 + -8x = 38

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -8x = 38 + -6

Combine like terms: 6 + -6 = 0

0 + -8x = 38 + -6

-8x = 38 + -6

Combine like terms: 38 + -6 = 32

-8x = 32

Divide each side by '-8'.

x = -4

Simplifying

x = -4

Answer:

I think the answer is 14.5x-132

Step-by-step explanation:

6.5x+3x+5x=14.5x

38+10-180=-132

=14.5x-132

In △ABC, AB = 13.2m, BC = 6.9m and ∠ACB = 90°. H lies on AC such that ∠BHC = 46°. Find (i) ∠ABH (ii) The length of AH

Answers

Answer:

(i) ∠ABH = 14.46⁰

(ii) The length of AH = 4.6 m

Step-by-step explanation:

From the image uploaded;

Consider △ABC;

the length of b is calculated by applying Pythagoras theorem as follows;

b² = c² - a²

b² = (13.2)² - (6.9)²

b² = 126.63

b = √126.63

b = 11.25 m

Also, ∠ABC is calculated as;

[tex]Cos \ B = \frac{a^2+c^2-b^2}{2ac} \\\\Cos \ B = \frac{(6.9)^2+(13.2)^2-(11.25)^2}{2(6.9 \times13.2)}\\\\ Cos \ B = \frac{95.288}{182.16} \\\\ Cos \ B = 0.5219 \\\\B = Cos ^{-1} (0.5231)\\\\B = 58.46 ^o[/tex]

Consider △CBH, ∠CBH is calculated as;

∠CBH = 90⁰ - 46⁰ = 44⁰

(i) ∠ABH will be calculated as;

∠ABH = θ

θ + 44⁰ = ∠ABC

θ + 44⁰ = 58.46⁰

θ = 58.46⁰  - 44⁰

θ = 14.46⁰

Thus, ∠ABH = 14.46⁰

(ii) The length of AH

length HC is calculated as;

[tex]tan \ 46^o =\frac{6.9}{HC} \\\\HC = \frac{6.9}{tan \ 46^o } \\\\HC = 6.66 \ m[/tex]

length of AH = CA - HC

x = b - HC

x = 11.25 - 6.66

x = 4.6 m

length of AH = 4.6 m

Mrs. Arnold took a survey of the types of pants her students were wearing. She collected the data below. What percent of her students were wearing shorts? Jeans: 14 Shorts: 9 Capris: 2

Answers

Answer:

36%

Step-by-step explanation:

Jeans: 14

Shorts: 9

Capris: 2

Total number of students = Number of Jeans + Number of Shorts + Number of Capris

Total number of students = 14 + 9 + 2 = 25

% of students wearing shorts = Number of shorts / Total number of students * 100

% of students wearing shorts = 9 / 25    * 100 = 0.36  * 100 = 36%

What is an equation of the line that passes through the points (-6,-3) and (-3,-5)

Answers

Answer:

y = - [tex]\frac{2}{3}[/tex] x - 7

Step-by-step explanation:

A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

( - 6, - 3 )

( - 3, - 5 )

m = [tex]\frac{-5+3}{-3+6}[/tex] = - [tex]\frac{2}{3}[/tex]

y + 5 = - [tex]\frac{2}{3}[/tex] ( x + 3)

y + 5 = - [tex]\frac{2}{3}[/tex] x - 2

y = - [tex]\frac{2}{3}[/tex] x - 7

Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25

Answers

Answer:

0.95

Step-by-step explanation:

[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]

[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]

whats is 10000000000000000+00+0000000++000000+0000000010000000000001010101010102010202010200100202020202020.
jk, here is a gift from me Merry Christmas :)​

Answers

Answer:

aww I find this so cutee

Step-by-step explanation:

Merry Christmas :) :) ^ ^

Answer:

its past t but it never too late to celebrate christmas happy christmas past and future

Step-by-step explanation:

If an object on earth weighs 42 lbs, what is its weight on the moon?

Answers

Answer:

6.93 lbs.

Step-by-step explanation:

The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.

I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.

Hope this helps! :)

Other Questions
how did conditions differ between plantations in north america and the caribbean Identify three locations where Crusaders came from The diagram below shows the main parts of the respiratory system.Nosech3LungsDiaphragmWhich of these correctly names the parts of the respiratory system numbered 1through 5 in the diagram above?A 1. larynx, 2. pharynx, 3. trachea, 4. bronchi, 5. alveoliB 1. pharynx, 2. larynx, 3. trachea, 4. bronchi, 5. alveoliC 1. pharynx, 2. larynx, 3. bronchi, 4. trachea, 5. alveoli Can someone answer these 3 questions for me I will mark as brainliest 3. LunchSteven owns a restaurant that specializes in steak burgers! 4 burgers and 3 fries cost $24.50. If a burger costs $5, how much is each order of fries?LET X = EQUATION:5. DinnerThe restaurant is full! There are some four-person tables and 8 tables with couples. If there are 56 people here, how many four-person tables are there?LET X = EQUATION7. DessertStuarts bought a cake and 6 servings of ice cream. The cake was $12 and the total bill was $33. How much was each order of ice cream?LET X = EQUATION An electrician charges $50 to come to your house. He also charges $25 for each hour he spends at your house. The electrician charges you a total of $125. How many hours did he spend at your house? Please also write the equation Heyy can you help will mark brainlist1) What was the Earth's first atmosphere like? Predominantly hydrogen and helium, much like Jupiter and Saturn Mostly nitrogen, carbon dioxide, water vapor Mostly nitrogen and about 15% oxygen Methane, hydrogen and ammonia2) What do climatologist study about fossil seashells in rock sediments to learn about climate?the ratio of magnesium to calcium in the shellsthe chemical traces of alkenonesthe strontium contentthe shapes of the shells (6.7x10 with an exponent of 8)(1.2x10 with an exponent of 2) please help!operations with scientific notation How were the philosophes of Confucianism and legalism used to develop an empire?A. They were used to unite and strengthen the state of chinaB. they were used to start wars between the statesC. they were used to change how people grew foodD. they were used to attack other empires PLEASE HELPPPPFill in the blanks in the following sentences with the appropriate word(s). Pay attention to the pronunciation. 1. Est-ce que tu ____________ le franais?2. Vous_________ souvent le train?3. Est-ce que vous voulez ___________ des tomates ou des brocolis? (eat)4. Je voudrais un ___________, s'il vous plat. (lemonade)5. Yolande veut commander__________de fromage.6. Est-ce que tu prends___________? Il y a des hutres! Non, je n'ai pas trs faim. Je prends juste un plat principal.7. Est-ce que tu laisses____________? Non, le service est compris.8.__________ , c'est un sandwich grill avec du jambon et du fromage.9. Tu manges souvent__________ restaurant?10. Est-ce que tu prends____________? Il y a des profiteroles au chocolat! (b) An unknown volume of 3.50 M potassium phosphate, K,PO, solution is added to 0.210 L of waterto form a 0.700 M K3PO, solution. Calculate the molarity of potassium ions, K in the solution. The coolor below holds 10 gallons. How many quarts will the jug hold?40 quarts20 quarts160 quarts20 quarts Which equation represents A, the area in square centimeters of therectangle below?23 cm16cmO A. A= 23+ 16O B. A = (2x 23) + (2 x 16)O C. A = 23 x 16O D. A= (23x 16) x 2 A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collectedwas $360. How many of each type of ticket were sold?Its using substitution or elimination to find the number of kids and adults. Really need help!! i need help with my study island who is the best soccer player? El Frances y el espanol son modernas HELP ASAP!!!!!!! PLEASE WILL GIVE BRAINLIESTName the three major parts of a cell and their functions How should a reader find the central idea of a piece of writing? Write to the author for clarification. Identify and organize the key points. Read other authors' works on the topic. Take time off from reading to do other things. Ezra was a scribe who guided the writing of thea.Koran.c.Gospels.b.Book of the Dead.d.Torah.