The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.

Scale factor: 2:5

Surface area: 80

volume: 352

Surface area: ?

volume: ?

Answers

Answer 1

Answer:

Surface area: 500

Volume: 5500

Step-by-step explanation:

Scale factor: 2:5

This means that the dimensions of the larger figure are 5/2 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/2) by the original surface area(80). So

[tex]S = (\frac{5}{2})^2 \times 80 = \frac{25}{4} \times 80 = 25 \times 20 = 500[/tex]

Volume:

The volume is found multiplying the cube of the change(5/2) by the original volume(352). So

[tex]S = (\frac{5}{2})^3 \times 352= \frac{125}{8} \times 352 = 125 \times 44 = 5500[/tex]


Related Questions

Question is in the jpg link

Answers

Answer:

B

Step-by-step explanation:

What is |-8|
Please help

Answers

|-8| = 8 means the absolute value of -8 is 8

Answer = 8

Determine if the statement is true or false. A system in echelon form can have more variables than equations. True False

Answers

Answer:

True.

Step-by-step explanation:

A system of a mathematical expression such as a matrix is said to be in echelon form when it has many variables.

There are two (2) forms of echelon matrices and these includes;

I. Reduced row echelon form (RREF)

II. Row echelon form (REF)

Hence, a system in echelon form can have more variables than equations.

[tex]\left[\begin{array}{ccc}1&2&3\\0&0&1\\0&7&5\\0&0&0\end{array}\right][/tex]

Find the product of 2 1/4 and 1 2/3

Answers

Answer:

15/4

Step-by-step explanation:

Make both fractions improper:

9/4 and 5/3

Multiply the numerators and denomenators accross:

(9*5)/(4*3)=45/12

Simplify:

15/4

There is 1/3 gallon of water in a 3-gallon container. What fraction of the container is filled?​

Answers

Answer:

ONE-THIRD OF A GALLON DIVIDED BY 3 GALLONS EQUALS ONE-NINTH

Step-by-step explanation:=1/9


Plz help I will reward good points

Answers

Answer:

its a part b so id k how many they sell in genral. comment how many and ill solve it for ya :)

why do planet need a core dont ask for brainlist i dont know some guy tried to but could not help me

Answers

Answer:

Any planet in any solar system needs a heat source and that is what the core acts as also as a side note the core also keeps the electromagnetic field in order. Hope this helps :)

A line passes through the point (4, -6) and has a slope of -3/4. Which is the
equation of the line?

Answers

Answer:

I have not dealt with slope for a while but if its in the form y=mx+b then the x is the slope so it would be -3/4x and b is the y intercept. the y in the cords is -6

Step-by-step explanation:

y= -3/4x -6

tamara spun the arrow on a spinner 50 times. The number of times the arrow landed on each colored section of the spinner is shown in the table.

Based on the results in the table what fraction of the area of the spinner is most likely represented by the red section?

Answers

Answer:

1/50, this is the answer for the choices..

Hope this helps you !

Answer:

1/50

Step-by-step explanation:

hope this helped

In a year there are 4months that have 30 days what is the ratio of the months with 30 days to the months with other than 30 days

Answers

Answer:

4:8

Step-by-step explanation:

Since there are 4 months with 30 days, there are 8 other months with other amounts of days, therefore the ratio is 4:8

Use the scale factor from Part I and a proportion to find the length of RT. Show your work.

Answers

Both triangles are the same but ones bigger so that means
AB=RS
ST=BC
AC=RT
Which means
How many 6 go into 18
How many 3 go into 9
How many 5 go into 15
They all 3
So the answer is it is enlarged by 3

Similar triangles are those triangles whose corresponding sides are in the same ratio. The length of the sides ST and RT are 5 units and 3 units, respectively.

What are similar triangles?

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.

Given that the two triangles are similar because the two have the same ratio. Therefore, the ratio of the corresponding sides in the triangle can be written as,

Ratio = AB/RS = BC/ST = AC/RT

Ratio = 18/6 = 15/ST = 9/RT

Now, using the ratio the length of the sides can be written as,

18/6 = 15/ST

ST = (15 × 6)/18

ST = 5 units

18/6 = 9/RT

RT = (9 × 6)/18

RT = 3 units

Hence, the length of the sides ST and RT are 5 units and 3 units, respectively.

Learn more about Similar Triangles:

https://brainly.com/question/25882965

#SPJ5

A multiplier of 1.641 corresponds to a percentage increase or decrease of what percent?

Answers

Answer:

A multiplier of 1.641 corresponds to a percentage increase or decrease of 64.1%.

Step-by-step explanation:

To determine a percentage increase or decrease of a certain number, a calculation consisting of the multiplication of said number by 1 plus the decimals corresponding to the percentage to be increased must be performed. Thus, for example, if you want to increase a number by 50%, you must multiply that number by 1.50. Therefore, if you multiply a number by 1,641, this implies that you are wanting to increase or decrease the initial number by 64.1%.

Mrs.Jones orders pizzas for a class party. Each pizza will be cut into 8 slices. There will be 36 people at the party. How many pizzas should Mrs.Jones order so that each person can have a slice.

Answers

Answer:

I can't help my self

(your going to be soooo mad when you open up to see me munching on ur points)

Step-by-step explanation:

AYO SMARTIES!!! HELP ME PLEASE YO

Answers

Answer:

25.26

Step-by-step explanation:

24.56+0.7

25.26 5+ 7 is 12 so carry the 1 over 1+4 =5

um i have to write here to send the question so here k bye

Answers

Answer:

142

38

Step-by-step explanation:

(−6x+3)−(−2x^2+6x−10)

Answers

i simplified it to, 2x^2 - 12+13

Answer:

2x^2-12x+13

Step-by-step explanation:

1. Distribute the - sign to all #'s within the parentheses

-6x+3+2x^2-6x+10

2.Combine like terms

2x^2-12x+13

An 8-cup bucket of paint costs $14.24. What is the price per pint?

Answers

Answer:

1.78$

Step-by-step explanation:

Step-by-step explanation:

8 cup bracket of paint coats [tex]\tt{14.24\$ }[/tex] ⠀

per paint backet costs=[tex]\tt{\dfrac{14.24}{8} }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{1.78\$ }[/tex] ⠀

HELP PLEASE QUICK!!!!!!!!!!!!
A plumber charges a flat fee of $75 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following.

Answers

C=25x+75 would be the equation

Step-by-step explanation:

75 dollars is the flat out fee right away and the 25 is for how many hours spent fixing the drain

4•4 - (-1)
Does this equal 3

Answers

Answer:

no, 4×4=16

16-(-1)=16+1=17

Answer: no it equal 17.

Step-by-step explanation: do 4 times 4 then you have 16-(-1) then change to 16+1 which equals 17.

Help









Sjsjjjsjajajahjajaja

Answers

Answer:

hi

Step-by-step explanation:

[tex] {5}^{2} + {x}^{2} = {7}^{2} \\ 25 + {x}^{2} = 49 \\ {x}^{2} = 49 - 25 \\ {x}^{2} = 24 \\ x = \sqrt{24} [/tex]

have a nice day

Please help me with this?

Answers

Answer: The answer is 3

Step-by-step explanation:

Will give brainless asappppp

Answers

Answer:

$50 withdrawal from bank account

Step-by-step explanation:

If your withdrawing money, that's consider as taking away.

$50 withdraw from band account

?x?=48
?x?=-19
Please help

Answers

Answer:

I don't know how this works, I'm in 6th grade but if it helps, 16x3=48 and 19 is a prime number, so 1x19=19 <3

For questions 9 and 11, solve for the remaining angles.

Answers

Answer:

‹A = 141°

‹B = 28°

‹C = 11°

*These angles are rounded to the nearest whole*

Step-by-step explanation:

Because you are only given sides you can find an individual angle measures with the inverse law of cosines.

Remember the side opposite of the angle corresponds to that angle.

a² = b² + c² - 2bc cos(A) →

A = cos⁻¹ (a² - b² - c² / -2bc)

b² = a² + c² - 2ac cos(B) →

B = cos⁻¹ (b² - a² - c² / -2ac)

c² = a² + b² - 2ab cos(C) →

C = cos⁻¹ (c² - a² - b² / -2ab)

A gym coach needs to buy badminton supplies. Rackets cost $10 each, and a pack of birdies costs $4. The coach has a budget of $100 and needs at least as many packs of birdies as rackets. Which graph shows the possible number of rackets and packs of birdies that the coach can buy?

Answers

Answer:

u aren't showing any graphs but he can buy 8 rackets and 5 birdies :)

What is a watt, which is a unit of power, equal to?

Answers

Used to quantify the rate of energy transfer

Answer: a joule divided by a second

Step-by-step explanation:

the sum of two integers is 9. the product of the integers is 14. what are the integers?

whats the answer for this ? help please​

Answers

Answer:

7 and 2

Step-by-step explanation:

x+y=9

xy=14

y=14/x

x+14/x=9

x^2-9x+14=0

.......

x=2,7

Ann Nguyen would like an installment loan for $5,750. Her bank will loan her the
money at 18% for 18 months. Her insurance company will loan her the money at
18% for 24 months. How much money will she save by choosing the smarter loan?

Answers

9514 1404 393

Answer:

  $281.40

Step-by-step explanation:

A financial calculator tells you the payment for the 18-month loan is $361.46, so her total payback amount is $6506.28.

Similarly, the payment for the 24-month loan is $282.82, and the total amount repaid is 6787.68.

The shorter-term loan costs less by ...

  $6787.68 -6506.28 = $281.40

Ann can save $281.40 by choosing the shorter-term loan.

A pool holds 19,900 gallons of water. There are two

Answers

Answer:

396010000

Step-by-step explanation: You multiply 19,900 * 19900 because there are 2 pools and you will get your answer

361,000,000 is your answer. Hope this helps

whats the change in elevation from 8,500 to 3,400

Answers

change in elevation is negative since it’s getting lower -5100

Answer:

-5100

Step-by-step explanation:

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