The volumes of two cubes are 32ft^3 and 1372ft^3
1. What is the ratio of their volumes?
2. What is the scale factor?
3. What is the ratio of their surface areas?
4. Find the surface are of the smaller cube if the larger cube has a surface area of 196ft^2

Answers

Answer 1

Answer:

1) 8 : 343

2) 42.875 or 42 ⅞

3) 4 : 49

4) 16ft²

Step-by-step explanation:

Volume of cube: s³

Surface area of cube: 6s²

_____________________

32ft^3 and 1372ft^3 →

32 : 1372 = 8 : 343

343 / 8 = 42 ⅞ = 42.875

s³ → 6s²

s³ = 8, s = 2, s² = 4.

s³ = 343, s = 7, s² = 49.

These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.

s³ → 8 : 343

6s² → 4 : 49

(4 / 49) × 196ft² = 16ft²


Related Questions


How many millimeters are equal to one kilometer. Show your work

Answers

Answer:

1,000,000

Step-by-step explanation:

1mm=1e-6km

10mm=1e-5km

100mm=1e-4km

1000mm=000.1km

10000mm=0.01km

100000mm=0.1km

500000mm=0.5km

1000000mm=1km

The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?

Answers

Answer:

[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]

HOW DO YOU FIND THE ARC OF A CIRCLE????

Answers

Answer:

1. Multiply the area by 2 and divide the result by the central angle in radians.

2. Find the square root of this division.

3. Multiply this root by the central angle again to get the arc length.

Step-by-step explanation:

Which is an equivalent way to express 3y

Answers

Answer:

3 f(x)

Step-by-step explanation:

this is very open-ended, (6y)/2 is equal to 3y

En una caja hay 10 monedas de $50, 20 monedas de $20 y $20 de 10. La probabilidad de sacar una moneda de $10 es:
A 20/20
B 1/2
C 4/10
D 2/5
DOY CORONITA SI RESPONDEN BIEN PLIS

Answers

Answer:

tha answer is c

Step-by-step explanation:

The stock of Company A lost $1.90 throughout the day and ended at a value
of $36.10. By what percentage did the stock decline?

Answers

Answer:

5%

Step-by-step explanation:

36.10 + 1.90 = 38

1.9 / 38 = 0.05

0.05 x 100 = 5

SOLVE FOR X AND Y!!! DUE IN 2 HOURS!!!

Answers

Answer:

x = 5, y = 5

Step-by-step explanation:

The scale changes from 8 to x+y

to find the change in scale, use the bottom values.

2 + 3 = 5 | 1 + 3 = 4

5/4 = 1.25 (the scale)

8 * 1.25 = 10

x+y = 10

There are 2 possibilities for this, but I feel like it is possibility #1

1. x = 5, y = 5

2. x = 4, y = 6

which equation is equivalent to xy (3x + 2y) = 4

Answers

Answer:

the value x is 0 and the value of y is 2

Find d using a trigonometric ratio(no links I can’t click them)

Answers

Answer: 38 is your answer hope this helped

plz make brainly

Step-by-step explanation:

Pls help me if u cannnnnnnnnnnnnnnnnnnnnnnn

Answers

Answer:

1436.03 m³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(14 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {7}^{3} [/tex]

[tex] = \frac{4308.08}{3} [/tex]

[tex] = 1436.0266667...[/tex]

= 1436.03 m³ (rounded to the nearest hundredth)

Find the measure of arc DHG

Answers

Answer:

128

Step-by-step explanation:

PLEASE RECHECK IF POSSIBLE I GOT 128 AS CIRCLE IS 360 and DIAMETER IS 180 ALSO 90 IS MARKED JUST RECHECH LET SOMEONE ELSE ALSO ANSWER.ALL THE BEST

The rectangle below is show with dimensions in inches

Answers

Answer:21/64

Step-by-step explanation:

Do 3*7 to get 21

And 8*8 to get 64.

To multiply fractions you multiply the denominators together and then the numerators together

You deposited 750 in an account that pays 5% interest compounded quarterly. How many years do you have two wait until it becomes at least ten times as much? Round answer to the nearest whole year.

A. 47
B. 46
C. 45
D. 48

Answers

Maybe the answer is A
The answer it’s A ik it’s right cuz I had the same question

Given that △ + q = 59 and (△ + q) + q = 106, what is the value of △?

Answers

Answer:

The answers are 47 &12 for "q" & "△" respectively

Arlie is on an airplane that has traveled 420 miles in 3/4 of an hour. At this rate, how far will the airplane travel in the next 1/2 hour?

Answers

The plane will travel miles in the next 1/2 hour. A total of 700 miles.

A shopkeeper purchased 60 pencil boxes for 4.500 and sold at the rate of 4.125 for 50 pencil boxes. How
much profit present does he make on selling all the pencil boxes?
5%
7%
10%
12%

Answers

Answer: 10%

Step-by-step explanation:

Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:

= 4500 / 60

= 85 per pencil box

If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:

= 4125 / 50

= 82.50 per pencil box.

Therefore the percentage profit will be:

= Gain / Cost price × 100

= (82.50 - 75) / 75 × 100

= 7.5/75 × 100

= 10%

How many distinguishable permutations are there for the word SCIENCE?

Answers

Answer:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

Step-by-step explanation:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

5,8, 21, 17, 10, 11,5
What is the median of the set of numbers?

Answers

Answer:

10

Step-by-step explanation:

Rearrange in order, 5, 5, 8, 10, 11, 17, 21 and the median would be 10.

what is the following product?
square root of 30 times the square root of 10

Answers

Step-by-step explanation:

That 'd be the square root of 300, which is equivalent to 10sqrt(3).

Help 9-11 thank you !

Answers

Answer:

9 - 11 = -2

Step-by-step explanation:

Because 9 is being subtracted by a number greater than itself, the answer has to be a negative and because:

9 + 2 = 11

9 - 11 = (-2)

Your Welcome :)

A recent report has shown that Nike's sneaker supply of the Air Jordan 1 was at 300,000
pairs in 2016. Because Nike wanted the Jordan 1 to be more of a rare shoe, the supply
of pairs started decreasing at a rate of 5% per year. At this rate, how many pairs of
Jordan 1s will be in production in the year 2030?

Answers

Answer: 90000 Pairs at 2030

Step-by-step explanation:

2030 - 2016 = 14

14 x 5 = 70

30% of 300k = 90000

What type of correlation is shown in the graph?

Answers

Answer:

no correlation

Step-by-step explanation:

it shows no trend or a line thing

also i think your pic is upside down haha

What is the product of (6x^2 + 8)(3x^2 – 5x + 7)?

Answers

Answer:

x = 14 /3

Step-by-step explanation:

Answer: 18x^4 - 30x^3 + 66x^2 - 40x + 56

Does this limit exist? Show steps

Answers

Answer:

Yes, the limit does exist.

Step-by-step explanation:

By definition, a limit in the form:

[tex]\displaystyle \lim_{x\to a}f(x)[/tex]

Exists if and only if:

[tex]\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)[/tex]

We are given the limit:

[tex]\displaystyle \lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]

So, in order to prove that this limit exists, we simply have to show that:

[tex]\displaystyle \lim_{x\to 2^-}\frac{x^2+x-6}{x^2-4}=\displaystyle \lim_{x\to 2^+}\frac{x^2+x-6}{x^2-4}[/tex]

Let's do the left-hand side first. We can factor the function:

[tex]=\displaystyle \lim_{x\to 2^-}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to 2^-}\frac{x+3}{x+2}[/tex]

By direct substitution:

[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]

Now, we can evaluate the right-hand side. Again, factor:

[tex]=\displaystyle \lim_{x\to 2^+}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to 2^+}\frac{x+3}{x+2}[/tex]

And by direct substitution:

[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]

Since both the left- and right-hand limits equal 5/4, our original limit does indeed exist.

Helppppppppppppppppppppp

Answers

D) No, because the y-intercepts are different

Mark with crown please!

Help
This is trigonometry

take it seriously, karma exists
I can help you too
I just wanna know if the result is 10.0 rounded to the nearest tenth
I used Sin
Please correct me

Answers

Answer:

Yes, your solution is correct

Step-by-step explanation:

sine = opposite leg / hypotenusesin 51° = √61 / WYWY = √61 / sin 51°WY = 10.0499134825 ≈ 10.0

Answer the question asked. When necessary, round to the nearest hundredth.
A boat moves 6 kilometers upstream in the same amount of time it moves 20 kilometers
downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat in still water.

Answers

Answer:

0.555km p/h

shown as 555m  p/h

Step-by-step explanation:

First we convert km to meters

6k = 6000m

Time = distance / rate.

20/6 = 3.33333333 = 3hr + ( 0.33 x 60 = 19.8) - 3.20hr

then 3.33 / 6 = 0.555 km  = 555 meters p/h


What is the area of the green triangle?

Answers

Answer:

The answer is 65

Step-by-step explanation:

Formula for triangle: b x h x 1/2

base= 13cm  height= 10cm

13 x 10 x 1/2 =65

The area of the green triangle is 65.

Alex has 512 cubes, with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.

Answers

A) First, find the volume of each cube:

V = s³

  = (1/2)³

  = 1/8 ft³

We have a total of 64 cubes, therefore the maximum volume will be:

Vmax = 64 · (1/8) = 8 ft³

B) The volume of a rectangular prism is given by:

V = w × l × h

Therefore any combination of w × l × h = Vmax = 8 will be fine.

Examples:

2 × 2 × 2

4 × 2 × 1

Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes? 4 1 H1 H H 2 H2 H2 3. H3 H3 H4 4. O T T 1 11 T1 2 T2 T2 3 T3 T3 T4 1 4 H T 2 T2 T2 3 H3 H3 H1 4 0 T 1 T1 H1 2 T2 H2 3 T3 H3 H4​

Answers

Answer:

The bottom table.

Step-by-step explanation:

It's the only one that shows options for heads and tails for every number.

Answer:

D the last one

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