NOT TO
SCALE
Jo
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm and a surface area of 1024 em'.
The smaller container has a volume of 1458 em.
Calculate the surface area of the smaller container,
[4]

Answers

Answer 1

Answer:

455.1 cm²

Step-by-step explanation:

The two containers have the following;

Large container

Volume : 3456 cm³

Surface area : 1024 cm²

Small container

Volume : 1458 cm³

Surface area : ?

If the two containers are mathematically similar then first find the volume scale factor

Volume of large/ volume of small

3456/1024 = 3.375

Length scale factor will be cube root of volume scale factor

∛3.375 = 1.5

Area scale factor is a square of the length scale factor

=1.5² = 2.25

=Surface area of the small container will be :

Larger area = 2.25 * small area

1024 = 2.25 * small area

1024/2.25 = small area

Surface area of the smaller container 455.1 cm².


Related Questions

An ordinary coin is thrown 50 times.
Barry says "I am going to get heads 25 times and tails 25 times."
Explain why he could be wrong.

Answers

He has a 50% chance of getting either one any time he throws the coin. Although unlikely, he could potentially throw the coin and get heads 100 times. Or he could get tails 100 times. Or any amount in between!

He could get  25 heads out of the 50 times but the percentage of happening that is very narrow.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

given, An ordinary coin is thrown 50 times. Barry says "I am going to get heads 25 times and tails 25 times."

To better understand Why he could be wrong we need to Understand the difference between Theoretical probability and Actual probability:

The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.

Because theoretical probability is based on models rather than reality, it isn't very helpful for determining probability in the actual world. Subjective probability is dependent on an individual's own assumptions and biases. It's the likelihood that an individual will encounter the result they are anticipating based on their prior experiences.

Learn more about probability here:

https://brainly.com/question/30034780

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find the least number that must be added to 1400 so as to get a perfect squre. full explanation​

Answers

Answer:

so what is the next perfect square after 1400?  That's what they are asking.. so I used my calculator to find it..

Step-by-step explanation:

the square root of 1400= 37.41..... but since we want a perfect square.. take 38 squared.. which is  1444 so now we know.. to add 44 to 1400 .... that's your answer  44

please help me i give 5* along with thanks for quality answer

Answers

Answer:

The total number of faces in a pyramid= 1+n

Why are inverse operations and
properties of equality important when solving
equations? Explain.

Answers

Answer:

An inverse operation is two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality. This gives us a couple of properties that hold true for all equations.

Write the slope-intercept form of the equation that is described below.

Through (-3, 3) and perpendicular to y = 1/3x + 5

What is the equation:

Answers

Answer:

3=-3*-3+b

3=9+b

-9 on both sides

-6=b

y=-3x-6

*-3 because the opposite of 1/3 is -3*

If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?

Answers

D is incorrect. Because they are similar does not mean the sides have to be congruent. Angles are always congruent in similar triangles but not the sides!

Answer:

D: AT = OG

Step-by-step explanation:

I just took this quiz so that's how I know

Which is an integer

Answers

Answer:

6.2 is an integer

Step-by-step explanation:

Answer

6.2

Step-by-step explanation:

here's the question for is you can't see.

what is the vertex of the equation below?
y=2(x-3)>2+4

1. (2,4)
2. (-3,4)
3. (-2,4)
4. (3,4) ​

Answers

From [tex]y=a(x-h)^2+k[/tex]

The vertex is at (h, k)

Therefore, from [tex]y=2(x-3)^2+4[/tex]

The vertex is at (3,4).

Thus, the answer is 4. (3,4)

Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper. The scatter plot shows the data he gathered and the line of best fit.



The equation of the line of best fit is y = 70.28x + 425.77.

Based on the line of best fit, approximately how many minutes would a student who consults 3 books spend on a research paper?


211

372

496

637

Answers

The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have:

Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.

The line of best fit is:

y  = 70.28x + 425.77

Plug x = 3 in the line of best fit:

y  = 70.28(3) + 425.77

y = 21.084 + 425.77

y = 636.61 minutes ≈ 637 minutes

Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.

Learn more about the line of best fit here:

brainly.com/question/14279419

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PLEASE HELP :)))
Suppose 3 rooms cost $596 and 5 rooms cost $860. What is the total cost for the number of rooms

Answers

Answer: 596 + 860 = 1456

Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina Need?

A. 13 Feet
B. 26 Feet
C. 39 Feet
D. 44 Feet

Answers

Answer:

The perimeter of the fencing is 44 feet (Option D)

Step-by-step explanation:

Area and Perimeter

A square shape of side length (a) has an area given by:

[tex]A = a^2[/tex]

And its perimeter is calculated as:

P = 4a

The area of Katrina's square garden is given as A=121 square feet. We need to calculate the side length by solving for a:

[tex]a=\sqrt{121}[/tex]

a = 11 feet

Once we know the value of a, then we calculate the perimeter:

P = 4*11 = 44

The perimeter of the fencing is 44 feet (Option D)

What is the solution to the equation x/2 - 4 = 6?

x = 5

x = 20

x = 1

x = 10

Answers

Answer:

x=5

hope it helps.....

Answer:

I got the answer from the Tutor.

Mark scored 3
more than twice what Nia scored. Nia scored 2
less than 4 times what Lupe scored. If Lupe
scored 2 points, what did Mark score?

Answers

Answer:

15

Step-by-step explanation:

2 times 4 is 8 minus 2 equals 6- Nia's Score

2 times 6 is 12 plus 3 equals 15- Mark's Score

xoxo,your highness...

Answer:

15

Step-by-step explanation:

2 X 6 is 12 + 3 = 15 (Mark's Score)

A local hamburger shop sold a combined total of 488 hamburgers and cheeseburgers on Friday. There were 62 fewer cheeseburgers sold than hamburgers. How
many hamburgers were sold on Friday?

Answers

9514 1404 393

Answer:

  275

Step-by-step explanation:

Let h represent the number of hamburgers sold. Then the number of cheeseburgers sold is h-62, and the combined total is ...

  hamburgers + cheeseburgers = combined total

  h + (h -62) = 488

  2h = 550 . . . . . . . . add 62, collect terms

  h = 275 . . . . . . . . . .divide by 2

275 hamburgers were sold on Friday.

Solve (x+1)2 = –5.
Question 16 options:

A)

No real solution

B)

x = ±1.75

C)

x = ±5

D)

x = ±1

Answers

Answer:

A) no real solutions

Step-by-step explanation:

No real solution. in order to x+1 by itself you must square root both sides. that would mean square rooting -5 which creates an imaginary number. so there are no real solutions. Also cause even if x was a negative, when you'd square it, you'll always get a positive.

Sociologists have found that information spreads among a population at an exponential rate. How do you think this happens? Describe a piece of good news circulating through your circle of friends or family. How is this exponential?

Answers

Answer: Because people talk about important information

Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.

Can someone help please? i’ll give you brainliest, sorry if it’s hard to see

Answers

1/4 and 4

Step-by-step explanation:

small to large: 2/8 =1/4

large to small: 8/2 =4

Answer: 2x4=8 , 16x8=128

128x8=1024

Step-by-step explanation: hope I help with your problems and sorry if it wrong

Help please!!!!!! HELP

Answers

Answer:

number 1

Step-by-step explanation:

What is the equation, in point intercept form, for a line that goes through (2, -6) and has a slope of -3/4


The answers are in the photo.

Oh and ignore the highlighted answer I mistakenly hit it.

I will give Brainlyist!!!

Answers

Answer:

y+6=-3/4(x-2)

Step-by-step explanation:

pls help ill give brainly

A soup can is 2 in. tall and has a diameter of 8 in.

What is the amount of metal used to make the can?


16π in²

24π in²

48π in²

160π in²

Answers

Answer:

the answer is 48π  in²

explanation:

i took the quiz

Use the diagram below to answer the question. There is a small building that is 24 feet tallThe fire fighter is standing 7 feet away from the building.

Answers

Answer:

24- 7 = 17

Step-by-step explanation:

Use your knowledge of similar triangles to solve for x

Answers

9514 1404 393

Answer:

  x = 10 2/3

Step-by-step explanation:

The ratios of corresponding sides are the same, so we have ...

  x/8 = 8/6

  x = 8·(8/6) = 64/6

  x = 10 2/3

In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house

Answers

Answer:

$12,500

Step-by-step explanation:

Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.

Total change in the value of house= $245,000- $120,000=$125,000.

Total time (in years) between 2007 and 2017 = 2017-2007=10 years.

The value of the house changes by $125,000 in the time interval of 10 years.

So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.

Hence, the average annual rate of change in the value of the house is $12,500.

HELP WILL MARK BRAINLIESTTT!!!!

Answers

Answer:

Real= 3 .   Imaginary = 3.6

Step-by-step explanation:

mark me brainliest plz

Real= 3 imaginary= 3.6

Carol observes that all of the juniors are taking physics this year. She concludes that when she is a junior, she will take physics for her science class. What kind of reasoning is Carol using to from her conjecture?

A.) Deductive Reasoning
B.) Inductive Reasoning

Answers

Answer:

The answer is B.) Inductive Reasoning

Step-by-step explanation:

Deductive reasoning requires one to start with a few general ideas, called premises, and apply  them to a specific situation. Recognized rules, laws, theories, and other widely accepted truths  are used to prove that a conclusion is right.

Answer:

Inductive Reasoning

Step-by-step explanation:

Carol’s conjecture is based on her observations.

3. A certain 50 cm spring will stretch (in
cm) the weight (in kg) attached to
it. How long will the spring be if a 35
kg weight is attached to it?

Answers

Complete Question

A certain 50 cm spring will stretch (in  cm) one fifth  the weight (in kg) attached to  it. How long will the spring be if a 35  kg weight is attached to it

Answer:

The value is [tex]L_w = 57 \ cm[/tex]  

Step-by-step explanation:

The length of the spring is [tex]L = 50 \ cm = 0.5 \ m[/tex]

 The  mass attached to it is  [tex]w = 35 \ kg[/tex]

Generally given from that the spring will stretch one fifth of the weight  (in kg)attached to it , it then means that the  new length of the spring whenever a weight is attached to it is mathematically represented as

          [tex]L_w = L + \frac{W}{5}[/tex]

=>      [tex]L_w = 50 + \frac{35}{5}[/tex]  

=>      [tex]L_w = 57 \ cm[/tex]  

 

what is the answer to this one need asap

Answers

Hello,

The correct answer is 18.
Hope this helps!!
Brainliest?

The cost of an limited edition figurine starts at $255 and it increases in value by 8% each year. What is the growth or decay rate as a decimal? What is the initial value? Write an exponential model that represents the cost f (t) of the figurine t years after it's bought. After 6 years the figurine's value is ?

Answers

Answer:

Growth rate = 8% = 0.08

Initial value (Po) = $255

F(t) = Po* e^rt

F(t) = $412.09897

Step-by-step explanation:

Given that:

Initial cost = $255

Rate of increase per year (r) = 8% = 0.08

Growth rate :

Final amount = Initial amount * (1 + rate)^time

Growth rate = 8% = 0.08

Initial value (Po) = $255

Exponential model for the cost :

F(t) = Initial value * e^(rate * time)

F(t) = Po* e^rt

Value after 6 years :

F(t) = Po* e^rt

t = 6

F(t) = 255 * e^(0.08*6)

F(t) = 255 * 1.6160744

F(t) = $412.09897

Solve. x =
A
41°
B.
C
Plz help me fast

Answers

Answer:x= 49°

Step-by-step explanation:

Not sure what this is but last choice is 60 miles FIRST ANSWER GETS BRAINLIEST HEHEHE

Answers

Answer: b

Step-by-step explanation:

I think is B.
Hope this helps!!
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