Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Using complete sentences, explain the connection between the cutout and the volume of the box.

Answers

Answer 1

Answer: V = (12in - 2*x)*(8 in - 2*x)*x

Step-by-step explanation:

So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.

Remember that for a box of length L, width W and height H, the volume is:

V = L*W*H

In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:

L = 12 in - 2*x

For the width we have a similar case:

W = 8in - 2*x

And te height of the box will be equal to x, then:

H = x

This means that the volume is:

V = (12in - 2*x)*(8 in - 2*x)*x

Here we can see the connection between the cutout and the volume of the box


Related Questions

Find the inverse for me please

Answers

Answer:

(C). [tex]f^{-1}[/tex] = ( x + 4 )² ; x ≥ 0

Step-by-step explanation:

add or subtract to simplify IHML

Answers

I added it so:

6x^2+8x

Answer:

A) 6x^2 + 8x

Step-by-step explanation:

2x^2 + 4x^2 = 6x^2

7x + x = 8x

6x^2 + 8x

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

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need help asap will give brainly

Answers

Answer:

x = 60

Step-by-step explanation:

So, ever triangle, no matter what shape or size, is always going to equal 180 degrees. You start off by trying to find angle L which is 71. The way you find this is you subratch 109 from 180 which ultimately gives you 71.

180 - 109 = 71

After that you have to add what you already have (49 degrees) with what you just found (71 degrees)

49 + 71 = 120

Now that you have 120, you have to again subtract 180 by 120 to get your answer, 60 degrees. And that's it.

180 - 120 = 60

Please help.
Algebra.

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

A system of linear equations has no solution when the equations describe parallel lines. Parallel lines have the same slope. In your equation, the slope is the x-coefficient, 8. A parallel line will have a slope of 8.

The second equation will have a slope of 8 if the system has no solution.

what is T/8 = -4 solve for T​

Answers

Answer:

The answer is -32

Step-by-step explanation:

Multiply both sides by 8 to cancel 8 as the denominator and you have T = -32

What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1?

Answers

Answer:

y =1x+4

Step-by-step explanation:

Hi need points?
I’ll also give best answer

Answers

Answer:

can you answer my latest post plsssssss id appreciate it

Step-by-step explanation:

can somebody help me pleaseeee !

Answers

Answer:

First and Third one

Step-by-step explanation:

First one: No Solution

Second one: x= All real numbers

Third one: No Solution

Fourth one: All real numbers

Please help, 16 points and i’ll mark you as brainlest

Answers

I think this is the answer, sorry I am not 100% sure

A school club is comparing prices at two movie theaters. Theater 1 charges $7.50 for a movie ticket and $5.75 per item at the concession stand it would cost a total of $187.75 for their group. Theater 2 charges $22.50 a ticket and $7.50 per item for a total of $397.50. Using this information solve for how many tickets and how many concession items they plan to purchase how many movies do they plan to purchase? and how many snack bins did they get?? I will give you brainlist !!!!!

Answers

Step-by-step explanation:

A pyramid and a cone are both 10 centimeters tall and have the same
volume. What statement must be true about the two solids?

A. The vertical cross-sections of the pyramid and cone at the same
width must have the same area,
B. The area of the cross-sections of the pyramid and cone are
multiples of each other,
C. The horizontal cross-sections of the pyramid and cone at the
same height must have the same area
D. The cross-sections of the pyramid and cone are the same shape

Answers

9514 1404 393

Answer:

  C. The horizontal cross-sections of the pyramid and cone at the same height must have the same area

Step-by-step explanation:

Cavalieri's principle says that solids with corresponding cross sections of the same area will have the same volume. Statement C is the converse of this principle.

If one side of a cube has
an area of 25 inches
squared, what is the
volume of this cube?

Answers

A=6a2

V=a3

Solving forV

V=6A3/2

36=6·253/2

36≈8.50517

v is approx. 8.51

hope it helps =) ♥

Aiuda plis necesito para hooooy

Answers

Answers:

No sé lo que eso significa, pero ¿puedes marcarme mentalmente?

Step-by-step explanation:

Please answer! I’ll make brainliest

Answers

Answer:

16 feet

Step-by-step explanation:

We are Given that

We have a 34 foot ladder leaning against a 30 foot buildingWe are asked to find the distance of the bottom ladder from bottom of the building.

A ladder leaning against a object makes the ladder slanted so that means 34 is our hypotense.

The building height And distance of the bottom of ladder and building is our legs so our formula we use is

[tex] {30}^{2} + {x}^{2} = {34}^{2} [/tex]

[tex]900 + {x}^{2} = 1156[/tex]

[tex] {x}^{2} = 256[/tex]

[tex]x = 16[/tex]

For the diagram shown, which angles are alternate interior angles?

Answers

Answer:

∠3 and ∠5

Step-by-step explanation:

What is the value of x in the equation 0.03x − 1.2 = 0.24?

Answers

Answer:

x = 48

Step-by-step explanation:

solved it just now-

PLEASE HELP NOW!!!!!!!

Answers

Answer: BC

Step-by-step explanation:

I know this because i did this one before your welcome

A wedding reception was
being held at Stefano's
restaurant. They charged
$2.00 per person for
appetizers, $20.00 per
person for the main course
and $250 for the wedding
cake. There were 50 people
at the reception. What was
the total cost of the
reception?

Answers

Answer:

the total cost of the wedding would be: 1,350

Step-by-step explanation:

2×50=100 and 20×50=1,000

100+1,000=1,100

1,100+ 250= 1,350

total for wedding is 1,350

:)

Answer: The answer for this problem is $1350.

Step-by-step explanation:

The first thing you do is to see how much money for the appetizers and the main course did all 50 people pay.

50 x 2 = 100, how much money in total for the appetizers

50 x 20 = 1000, how much money in total for the main course

Once you're done with that! Next, you add the total prices for the appetizers and the wedding cake. Then, you add up the $250, so you get your answer!

$100 + $1000 = $1100

$1100 + $250 = $1350

This is how you get the answer!

4х + 1= 3x + 2
does it have no solution one solution or infinitely many solutions

Answers

Step-by-step explanation:

4x-3x=2-1

×=1

that's fine

There’s only one solution

eli is going to make apple pie he buys 17 apples and put them and put the in paper bags to take home each bag holds 6 apples how many bags eli completely fill? how many appels are left

Answers

Answer:

Eli can only have 2 bags, and there will be 5 apples left

Step-by-step explanation:

17/6=2 with a remainder of 5

Answer:

17/6=2 with a remainder of 5

Step-by-step explanation:

The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?

Answers

*see attachment for the diagram of the triangular prism box

Answer:

528.8 in.²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + P*H

Area of triangular base (BA) = ½*b*h

b = 24.5 in.

h = 12 in.

BA = ½*24.5*12 = 147 in.²

Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.

Height of prism = 4 in.

Plug in the values into the surface area formula:

Surface area of prism = 2(147) + 58.7*4

= 294 + 234.8

= 528.8 in.²

I will give Brainliest AND a Cookie!

Answers

Answer:

it might be c not to sure

Step-by-step explanation:

sorry if u get it wrong

Answer:

c

Step-by-step explanation:

I CAN GET A COOKIE

How to simplify 12 to the 0 power

Answers

The answer is 1....................

Answer: 1

Step-by-step explanation:

Rule of thumb:

Anything to the POWER OF 0 will Always be 1

12^0=1

If the function
s
(
x
)
represents a transformation of the graph that shifts the vertex of the graph to
(

7
,

1
)
, which function represents
s
(
x
)

Answers

Answer:

..................

Step-by-step explanation:

...jdjdjejsjesjdjdjwjowjddhdjjfjhrueurjrhbffb


Han creates a scatter plot that displays the relationship between the number of items sold, x, and the total revenue, y, in dollars.
Han creates a line of best fit and finds that the residual for the point (12, 1,000) is 75. The point (13, 930) has a residual of -40.
Interpret the meaning of -40 in the context of the problem.

Answers

Answer:

In context of the problem, -40 means that 40 was the difference between the actual data, and the estimated data.

Step-by-step explanation:

Here -40 represent the difference between the actual data and the estimated data.

Given that,

Han creates a line of best fit and finds that the residual for the point (12, 1,000) is 75. The point (13, 930) has a residual of -40.

Based on the above information we can say that the -40 shows the difference of data.

Learn more: brainly.com/question/17429689


What is 50% of 98 pls

Answers

The answer is 49 :))

what is the linear equation of a line with a rate of change of -1/2 that passes through the point (0, 4)

Answers

Answer:

y = 9/2 (fraction)

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = -1/2 + c

Therefore:

c = 9/2

So, y = 9/2

Brainlist pls!

PLEASE HELP ITS DUE IN 30 MINNNNN

Answers

Answer: Radius 6 because Radius is 1/2 of the diameter so 12/2=6

Diameter 14 because the Radius is 7 so 7x2=14, times 2 because the diameter is 2 radius.

Step-by-step explanation:

what mouse walks on 2 feet?
that one was easy
Now, what duck walks on 2 feet?

Answers

Answer:

A duck with 2 feet

Answer:

Donald duck and Remy

Step-by-step explanation:

can someone help me with this, please

Answers

Answer:

Please find attached pdf

Step-by-step explanation:

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