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

Which table represents a linear function?
1) f(x)
2) g(x)
3 h(x)
4 k(x)

Answers

Answer: f(x)

Step-by-step explanation:

A certain disease has an incidence rate of 0.6%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.

Answers

Answer:

0.1562 = 15.62% probability that a person who tests positive actually has the disease.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests positive

Event B: Has the disease.

Probability of a positive test:

100 - 8 = 92% of 0.6%(person has the disease).

3% of 100 - 0.6% = 99.40%(person does not have the disease). So

[tex]P(A) = 0.92*0.006 + 0.03*0.994 = 0.03534[/tex]

Probability of testing positive and having the disease:

92% of 0.6%. So

[tex]P(A \cap B) = 0.92*0.006 = 0.00552[/tex]

Probability that a person who tests positive actually has the disease.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00552}{0.03534} = 0.1562[/tex]

0.1562 = 15.62% probability that a person who tests positive actually has the disease.

Angle ABC and angle CBD are complimentary .CBD has an angle of 38 degrees What is the value of x?

Answers

Answer:

what school you do i think im on that

on thatStep-by-step explanation:

Answer:

142

Step-by-step explanation:

Complimentary means 180 degrees, so you have to subtract 38 from 180:

180

-38

142

Find the exact circumference of a circle with diameter equal to 8 ft.

Answers

Answer:

C = 8π ft

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = 8π

If you can buy one tub of dried blueberries for $8, then how many can you buy with $16?​

Answers

Answer:

you can buy 2 tub of dried blueberries with $16

Step-by-step explanation:

1 tube ---cost for $8..

x ?-------cost for $16........mean 2 tubs of dried blueberries for $16....

Plz help me well mark brainliest if correct!

Answers

Answer:

Two weeks later

Step-by-step explanation:

There are 14 days in two weeks, and there are 14-day intervals between dates.

Answer:

2 weeks later

Step-by-step explanation:

Two weeks is equivalent to 14 days

Can someone help me plead

Answers

Answer:

a. 2^3

b. 3^4

c. 4^3 × 5^2

d. 9^4 × 7^2

Step-by-step explanation:

The following equations are given

a. 2 × 2× 2

b. 3 × 3 × 3 × 3

c. 4 × 4 × 4 × 5 × 5

d. 9 × 7 × 9 × 9 × 7 × 9

We need to find the index notation for the above equations

a. 2^3

b. 3^4

c. 4^3 × 5^2

d. 9^4 × 7^2

In this way it should be done

The same would be relevant

what is the slope of the line.

Answers

Answer:

1 ..................or 1/1

Answer:

-1 is the slope

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

Jeremiah wants to estimate the mean age of students at his large university. He'll sample n students and make a 95%, percent confidence interval for the mean age. He is willing to use σ=3 years as an estimate of the standard deviation, and he wants the margin of error to be no more than 1 year. Which of these is the smallest approximate sample size required to obtain the desired margin of error?

Answers

Answer:

35 students

Step-by-step explanation:

khan

if the circle is 2 inches what will the circumference be round to the nearest 10th​

Answers

6.283 this would be the circumference the nearest tenth would be 6.28

What is the interest rate on a savings account of $10,000 that earns $2,000 after 4 years?

Answers

Answer:

5%

Step-by-step explanation:

2000/4=500 per year in interest

500/10000=.05 or 5%

sharon runs 7/10 mile mile in 6 minutes. How many miles does she run in one minute? In one hour?

Answers

Answer:

7/60 miles in one minute

7 miles in one hour

Step-by-step explanation:

7/10 = 6 minutes

/6        /6

7/10  / 6 =    7/10 * 1/6 =  7/60

B. 7/10 = 6 minutes

     *10         *10

7/10 *  10 =   70/10  = 7 miles

7 miles = 60 minuites

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression.

3-2

Answers

Answer:

the answer would be 1 sorry if I'm wrong

Answer:

the answer is 1/9 trust me its right

Step-by-step explanation:

What is the C term in this problem: x^2+3x+2

Answers

Answer:

2

Step-by-step explanation:

Cuz the form is Ax^2 + bx + c

A = 1 (imaginary)

B = 3

C = 2 (same as y-intercept)

Can someone please help

Answers

Answer:

16.989

Step-by-step explanation:

Cosine angle = adjacent/ hypnosis

Cos 28 = 15/x  Multiply both sides by x

xCos 28 = 15x/x   x/x is 1

xCos 28 = 15(1)  Divide both sides by Cos 28

xCos 28/Cos 28 = 15 / Cos 28   Cos 28 / Cos 28 = 1

x = 15/Cos 28

x = 16.989

 

plsss heelp meeee i have been stuck on this for days

Answers

Answer: Step-by-step explanation:

-z<-7

z>7

7.1

8

12

-12, -8, -7.1
The numbers that are further away of -7 have a smaller value bc their negative :) if this is right mark and brainliest

Miguel is staining a wooden box. To determine how much stain he needs, he'll need to find the surface area of the box. True False

Answers

Answer:

True

Step-by-step explanation:

Miguel is staining a wooden box. he needs to find the surface area of the box

We have given that,

Miguel is staining a wooden box.

To determine how much stain he needs, he'll need to find the surface area of the box.

We have to determine statement is true or false.

What is the surface area of the box?

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Therefore he needs to find the surface area of the box

and it is a true statement.

To learn more about the box visit:

https://brainly.com/question/26161002

#SPJ2

Please help

the diagram shows a cube and a cuboid

Answers

Answer:

2197 cm³

Step-by-step explanation:

surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014

surface area of cube = 6 * x²   .... x: side length of cube

6x² = 1014

x² = 169

x = 13

volume of cube = x³ = 13³ = 2197 cm³

Can someone please help me I will mark u brilliant

Answers

Answer:

d

Step-by-step explanation:

lol, A triangle has sides of length 25, 16, and 7. Is this a right triangle? Justify your answer using mathematics.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The given side lengths do not form a triangle of any kind.

  [tex]7+16\ngtr 25[/tex]

Which line is parallel to 2x - y = -3 and goes through (5, 5)?

Answers

Answer:

G. y=2x-5

Step-by-step explanation:

First, find the slope from 2x-y=-3

-y=-2x-3

y=2x+3, which means that the slope is 2

Since it is parallel, the given equation and the line we are finding has the same slope.

let y=mx+b, where m=2, y=5, x=5

5=2(5)+b

5=10+b

-5=b

Thus, y=2x-5

Answer:

F Y=1x+5 G Y=2x-5 H Y =x-3 J Y=2x+5

Which negative angle is equivalent to a 75° angle?

Answers

Answer:

A) -285

Step-by-step explanation:

360-75=285

NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.

Answers

The last one……!.!.!.!!.

Please explain step by step.

Answers

Answer:

B

Step-by-step explanation:

If you at the graph it shows that the dots in bettwen Y side (left side)

so the first dot is 15 due to it between 10 and 20 and the 2nd dot is 20

NO LINKS I WILL REPORT YOU
What are the missing numbers

Answers

The missing numbers are 2 and 3 so it should look like y=4/3x + 2/3

The linear factors of a quadratic expression are (x + a) and (2x + b), where a and b are
positive, odd integers. Which statement about the zeros of this expression's related
quadratic function is FALSE?

A. Both of the zeros are located on the x-axis.

B. One zero is an integer, and the other is a fraction.

C. The zeros are the opposites of the constants in the linear factors.

D. The zeros can be found by setting each factor equal to 0 and solving.

Answers

A HOPE IT HELPSSSSSS

Answer: The answer is C

Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?

Answers

Answer:

The correct answer is this graph

Step-by-step explanation:

I just took the test #plato

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Step-by-step explanation:

Took Test om Plato.

What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.

Answers

Answer: [tex]\dfrac{1}{52}[/tex]

Step-by-step explanation:

Given

We need to choose 6 of clubs that's also a red

A deck contains 13 cards of clubs, and 6 of clubs is the only red card i.e. favorable outcome is 1 out of 52 cards

Probability is the ratio of favorable to the total outcomes

[tex]\Rightarrow P=\dfrac{1}{52}[/tex]

A bag contains 9 red, 7 blue, and 4 yellow marbles. If a marble is chosen at random from the bag, what is the probability that it is NOT yellow? (in fraction form) A) 1 5 B) 1 3 C) 3 5 Eliminate D) 4 5

Answers

Answer:

D

Step-by-step explanation:

if you add all the numbers together you get a total of 20. if you add the non yellow marbles together you get 16. so the fraction is 16/20. then you shorten the fractions by dividing the numbers. both are divisible by 4, so the final answer is 4/5.

Find the area of the polygon.
42 m
26 m
21 m
52 m
The area of the polygon is _
square meters.

Answers

Answer:

1327

Step-by-step explanation:

Please check the attachment for explanation.

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