Annabelle has 56 1 cm³ what are the dimensions of the rectangle Langer prism Annabelle could build with all the cubes

Answers

Answer 1

Answer:

The six possible rectangular prisms Anabelle could build are;

W = 1,  B = 1,  L = 56

W = 1, B = 2,  L = 28

W = 1,  B = 4,  L = 14

W = 2,  B = 2,  L = 14

W  = 1,  B = 7,  L = 8

W = 2,  B = 4,  L = 7

Step-by-step explanation:

The number 1 cm³ Annabelle has = 56

The dimensions volume of the cubes Annabelle could build with the 1 cm³ = 56 cm³

The volume of rectangular prism, V = L × B × W

∴ For the rectangular prism, V = 56 cm³ = L × B × W

Therefore, the possible dimensions of the prism are three factors of 56, including;

1, 2, 4, 7, 8, 14, 28, 56

The combination of 3 factors of 56 that can be multiplied together to give 56 and therefore, the possible rectangular prisms includes;

  W × L × B = A

1) 1 × 1 × 56 = 56

2) 1 × 2 × 28 = 56

3) 1 × 4 × 14 = 56

4) 2 × 2 × 14 = 56

5) 1 × 7 × 8 = 56

6) 2 × 4 × 7 = 56

There are therefore 6 possible rectangular prisms Annabelle could build


Related Questions

Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x ) = − 3 ( x + 5 ) 2 − 1

Answers

Answer:

Step-by-step explanation:

[tex]y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)[/tex]

FACTORS (2x 3 ) (4x 1) Given the factors below what is the quadratic equation?​

Answers

I think 24! Have a nice day :))

Find the distance between the points (-3,-4) and (2,8) on the
coordinate plane.

pls hurry it’s for a quiz

Answers

Answer:

13 units

Step-by-step explanation:

The length/ distance would be 13

The value of y varies directly with x, and y = -2 when x = -4. Find y when x = 8.

Answers

Answer:

y = 4

Step-by-step explanation:

8 ÷ -4 = -2

so, multiply each side by -2

-2 x -2 = 4

when x = 8, y = 4

I need help with 2.04, 2.06 and 2.08!!

Answers

Answer:

Sorry I can't help with2.08

Hope the remaining helped

PLS mark BRAINLIEST

After running 14 laps the runner had compleated 25% of the race. How many laps does he still have to compleate?

Answers

Answer:

42 laps

Step-by-step explanation:

find the distance between (5,10) and (8,10)

Answers

Answer:

3

Step-by-step explanation:

d=√8-5 = √9 = 3

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Answers

Answer:

240ft

Step-by-step explanation:

You have to multiply length x width x height In this case its 12 x 4 x 5

4,6,9, ...
Find the 8th term.

Answers

Answer:

39

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

the answer is going up by the numbers 1,2,3,4...

you start with 4 and go up by 2

you then get 6 that's when you count up 3

you get 9 and then count up 4

which is 13 count up 5

18 count up 6

24 count up 7

31 count up 8

39

Ten subjects are being studied to test the effectiveness of itch relief for three types of medication: A, B, and C. Using a 10-point scale, the researcher calculates the subjects' amount of itching
before treatment compared with the amount of itching after treatment. The response variable is the itch rating after one hour of treatment. Previous studies have shown the effects of
treatment may vary based on a subject's pain resistance. How should the subjects be blocked? Explain. (4 points)
They should be blocked alphabetically so the subjects are as different as possible.
They should be blocked by age because older subjects tend to itch more.
They should be blocked by gender because female subjects tend to itch more.
They should be blocked by pain resistance so the subjects are as similar as possible.
O Blocking should not be used in this experiment.

Answers

Answer: Choice D

They should be blocked by pain resistance so the subjects are as similar as possible.

============================================================

Explanation:

The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.

Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.

This is why choice D is the final answer.

-------------

Extra info:

Choice A is false because a person's name doesn't have anything to do with if the treatment works or not.Choice B is false because we weren't given any info to indicate it being true. It may be true, but we simply don't have enough info to confirm it. Choice C is false for similar reasons as choice B.

Answer:D

Step-by-step explanation:

This is due to the question explicitly stating how the previous studies have shown the effects of treatment may vary based on a subjects pain resistance. This leads to the only option that relates to the study's background, D

Two functions are shown below

f(x)=8x+10
g(x)=6x-4

What is f(4)-g(3)?

Answers

Answer:

c.28

Step-by-step explanation:

Given

f(x) = 8x + 10 and g(x) = 6x - 4

f(4) = 8*4 + 10

    = 32 + 10

    = 42

g(3) = 6 * 3 - 4

      = 18 - 4

      = 14

Now

f(4) - g(3)

= 42 - 14

=28

hope it will help :)

C answer final because f(x) = f(4); g(x) = g(3)
f(4)= 8(4)+10= 42
g(3)= 6(3)-4= 14
f(4)- g(3)= 42-14= 28

What is the length of segment of A’B?

Answers

Answer:

8

Step-by-step explanation:

8

if both triangles are the same, the lengths will be the same

Check the picture and thanks

Answers

Answer:

I think the answer would be 'a'

7) which equation matches the algebra tiles

Answers

Answer:

i think the ans is 4(-x-1) = 12

Step-by-step explanation:

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of
airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be
used to determine her monthly cell phone bill (C)?

Answers

Answer:

  15xc + 0.20x(X)

Step-by-step explanation: Looks complex but hope this helps

Need help with geometry pls picture provided

Answers

Answer:

y= 30 x=15

set up your proportions for example 9/6 to y/20 and 9/6 to x/10 and then cross multiply

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Answers

Answer:

nose lo que dice.....pero puedo tener esos 5 puntos......perdób

Simplify: 4 [ 2+ 1 ( 47 - 5 ) ÷ 7 ]
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Answers

32 and it would be useful to use pemdas

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Answers

Answer:

97 degrees

Step-by-step explanation:

360 degrees is our total. so:

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eric plotted the graph below to show the relationship between the temperature of his city and the number of cups of lemonade he sold daily: part a: describe the relationship between the temperature of the city and the number of cups of lemonade sold part b: describe how you can make the line of the best fit. write the approximate slope and y-intercept of the line of best fit. show your work, including the points that you use to calculate the slope and y-intercept.

Answers

Answer:

part A: the warmer the city temp was the more lemonade that was sold so a hotter day will sell more lemonade

part B: i used points 40,8 and 90,20 and got m= 25/6 then i did y=mx+b

90=25/6(1)+b

90/1=25/6+b

25/6   25/6

and then B= 21.6

Step-by-step explanation: im not sure if i did it right so i would check i havent done this since like the 6th grade like 4 years or so ago lol

There are 72 conkers in a bag.
Mo takes of them
Alexa takes .
How many do they have in total?

Answers

Answer:

72

Step-by-step explanation:

Help needed for assignment

Answers

The answer is C........

Can someone tell me the equation of this graph
1. f(x)=1/4x + 4
2. y=1/2x + 4
3. y=2x + 4
4. f(x)= - 2/3x + 4

Answers

Answer:

3. y=2x + 4

Step-by-step explanation:

We know that b is 4 because of the point (0,4)

Now count the slope by using rise over run

We go up 2 and over 1 so the slope is 2

Plz help will mark you brainliest if correct

Answers

Answer:

B

Step-by-step explanation:

5/1 is not equal to 6/2 or 7/3 or 8/4

Answer:

The answer would be B instead of D

Todo numero es divisible por 3, si al sumar el total de sus digitos, se obtiene un numero mutiplo del tres (se puede expresar como tres por un numero entero )

Answers

Answer:

si, eso es correcto

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

will give brainliest

Answers

I believe it should be 5

Step-by-step explanation:

I believe this because 16÷8=2 so 10÷2=5

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Answers

Answer:

3/18 = 6/ DG

Step-by-step explanation:

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Answers

you would do 23-15 to get b

Help me pls pls pls p

Answers

Answer:

L= 90, M=53, K=37

Step-by-step explanation:

Tilt your phone/computer to the right, and you'll see the 90° angle for L. Now you're left with two more, and just compare which angle is bigger, K or M. M is bigger, so you apply the bigger number out of the you got which is 53. Now no doubts, K is 37.

Please help me I’ll give you 100 points

Answers

Answer and Step-by-step explanation:

So, you would do 100 times 31.8, which is 3180, that'll be the area of the rectangle.

Now, the semicircles. They together form a circle.

So, we do pi times d (diameter), which is 3.14 times 31.8 = 99.852

Now we add them together.

99.852 + 3180 = 3279.85 (rounded to the nearest hundredth of a meter)

The rectangle area is 3180.

The Semi circles' combined area is 99.85.

The total area of the figure is 3279.85.

I hope this helps! Have a great day!

#teamtrees #PAW (Plant And Water)

Answer:

3973.82

Step-by-step explanation:

to understand thisyou need to know about:geometryPEMDASlet's solve:there are a rectangle and a full circle

according to the question

the area of full shape

=[tex]\text{area of the rectangle+the area of the full circle}[/tex]

=(100×31.8)+(π×(31.8/2)²)

=3180+(3.14×(15.9)²

=3180+(3.14×252.81)

=3180+793.8234

=3973.8234

=3973.82

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