The volume of a cube is related to the area of a face by the formula V = A 3 2 . What is the volume of a cube whose face has an area of 81 cm2?

Answers

Answer 1

Step-by-step explanation:

We have V=A3/2

We know that A = 100cm2, so just plug the area into the equation:

V = 1003/2

= 1002/2 * 1001/2

= 100 * √(100)

= 100 * 10 = 1000 cm3

Therefore, the area is 1000cm3

Another way to solve the problem is to figure out what the side length is from the area. Since the area is 100cm2, and we know that area of a cube face is s2 (where s is the length of the side), we can figure out the side length first like this:

s = √(100cm2)

s = 10cm

Then we can calculate volume using V = s3 = 1000 cm3


Related Questions

The first aircraft has 111 more seats than the second aircraft. The third aircraft has 27 fewer seats than the second aircraft. If their total number of seats is 408, find
the number of seats for each aircraft.
The first aircraft has
seats. (Simplify your answer)

(Answer quickly)

Answers

This is the awnser I hope it helped

Q9) There are 4,000 students attending a local community college and the number of students is increasing by 5% each year. How many students will attend the college in 4 years?

Answers

Answer: 4,862 students will attend the college in the next four years

Step-by-step explanation: If the college starts out with 4,000 students you need to find 5% of 4,000. To do this you would multiply 4,000 by 0.05, you should get 200. So 5% of 4,000 is 200 so the next year there will be 200 more students then last year meaning the next year will have 4,200 student. So now you'll repeat the same step multiply the number of students (now 4,200) by 0.05, then add the answer to the number of students from the previous year. So year two is:

4,200x0.05=210

4,200+210=4,410

repeat these steps till you have four years worth.

Simplify the expression. 10 (n^2+ n) - 6 (n^2 - 2)

Answers

10(n²+n)-6(n²+2)10n²+10n-6n²-1210n²-6n²+10n-124n²+10n-12

please mark this answer as brainlist

how would i do this? it’s algebra 1

Answers

Answer:

So the first step is asking you to write the explanation on your own paper (Easy! :)

The whole equation is designed for you to get the variable "x" by itself so that you know what number it is equal to. In order to do this you need to follow the steps.

So for the second step you need to add 1 to both sides. This step is so that you can get rid of the 1 on the left side, to do this you need to add 1 because this will cancel out on the left side since you are substracting it. BUT if you add one on the left side, you also need to add it to the right side!!! (Whatever you do on one side of the equal sign you need to do on the other side)! So add one on both sides this will get rid of the 1 on the left and turn the 6 to a 7 on the right side.

NEXT STEP (Multiply both sides by -2) So (-1/2) is the same as saying 1 divided by -2 which is -0.5 as a decimal. If you want to cancel out a fraction you want to multiply it by the denominator (aka bottom number), in this case that number is -2. So if you multiply (-1/2) by -2 this cancels that fraction out on the left side and it disappears, BUT you must do it on the right side too! So you multiply 7 by -2 which is equal to -14.

Now you're left with 5x = -6! Your final step is to get rid on the 5 on the left side. To do this you simply divide it by 5 so that it cancels out on the left side and you're left with x. BUT you still divide on the right side, so x is equal to (-6/5).

I hope this helps!

It is all about getting x by itself.

What is the value of x?

Answers

[tex]\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{42}{15}[/tex]

[tex]\\ \sf\longmapsto 15x=42(10)[/tex]

[tex]\\ \sf\longmapsto 15x=420[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{420}{15}[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

Thank you come again

Answers

The answer is Either B or C, But I'm going with ASA which is B.

explanation: congruent angles are about 48° they could be much more higher but in this case they aren't. And as you could see congruent angles aren't like that.

The rule is If two angles have the same measure then they are congruent.

Congruent angles are marked with the same number of "arcs".

Note: This picture isn't mine, it's an example of what a congruent angle could look like.

Hope this helps :)

(-8x-6)-4^2 evaluate

Answers

answer:

-8x-22

step by step explanation:

none

Answer:

-8x - 22

Step-by-step explanation:

[tex]( - 8x - 6) - {4}^{2} [/tex]

[tex] - 8x - 6 - {4}^{2} [/tex]

[tex] {4}^{2} = 4 \times 4 = 16[/tex]

[tex] - 8x - 6 - 16[/tex]

[tex] - 6 - 16 = - (6 + 16) = - 22[/tex]

[tex] = - 8x - 22[/tex]

17. Tommy wants to convert 68 miles per hour to inches per second. This is his
conversion, is it set up correctly?*
.
68 miles
1 hour
5280 ft
1 mile
.
12 inches
1 ft
60 hour
1 min
.
60 min
1 sec
Yes, he is correct.
No, he is not correct.

Answers

Answer:

no, he is not correct

Step-by-step explanation:

His last two conversion fractions are reversed. He should have 1hr/60min and 1min/60s.

What is the relationship between same-side interior angles?

Answers

Answer:

The relation between the same side interior angles is determined by the same side interior angles theorem the theorem for the same side interior angle theorem states. if a transversal intersects two parallel lines , each pair of same side interior angles are supplementary ( their sum is 180 degree

Hi everyone. I just wanted to put out links for every educational website I know, so if teachers are on here, they can share them.
Hope this helps!! :)
Scroll Through the pictures. The links are in the pictures!

I couldn't add six files. so here is the other one:

https://www.usatestprep.com/

Answers

answer.

thanks for this

product.
31. 117 x 31

Answers

Answer:

The answer for the product of 31.117 and 31 is equal to

964.627

964.627
Is the correct answer.

30% of number A is the same as 40% of number B. what could A and B ?

Answers

9514 1404 393

Answer:

  A = 4, B = 3

Step-by-step explanation:

You require that ...

  0.30 × A = 0.40 × B

Then ...

  B = (3/4)A . . . . . divide by 0.40

Any pair of numbers that satisfies this equation will be possible values of A and B. One such pair is (A, B) = (4, 3).

Answer:

4 and 3

Step-by-step explanation:

Whats the Square root of 3.24

Answers

1.8 is the square root of 3.24

Answer:

it's 1.8

Step-by-step explanation:

Use the calculator

Estimate the 146 and round to the nearest ten

Answers

It would be 3.82 :))

I need your hlep now!!! this is due tomorrow

Answers

Answer:

6. -200+75= -125

7. -40+-17= -57

8. 6+-9= -3+7=4+-5= -1

5+3=8+-6= 2

11+-12= -1+-3= -4+4=0

Correct answer: Cory goes first

Step-by-step explanation:

Find the value of x and y. HELP ME PLSSS

Answers

9514 1404 393

Answer:

x = 17.3y = 28.6

Step-by-step explanation:

The parallel lines divide each transversal proportionally.

  x/30 = 15/26

  x = 30(15/26) ≈ 17.3

__

  y/16.5 = 26/15

  y = 16.5(26/15) = 28.6

5.) Your printer takes 36 seconds to print a small photo and 60 seconds to print a large one.
a.) Write an expression for the time (in seconds) your printer would take to print a batch
including both small and large photos.

Answers

Answer:

[tex]36s+60l[/tex]

Step-by-step explanation:

Let [tex]s[/tex] be the amount of small photos your printer needs to print.

Let [tex]l[/tex] be the amount of large photos your printer needs to print.

Since it takes 36s to print a small photo and 60s to print a large photo, we can form the expression: [tex]36s+60l[/tex]

In 5×7 = 35 the numbers five and seven are called ? in the number 35 is called the ?

Answers

Answer:

5 and 7 are factors

35 is the product

Step-by-step explanation:

5 and 7 are the factors

you multiply factors to get a product

35 is a product of the factors, 5 and 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Translate this sentence into an equation.
42 is the product of Mai's height and 3.
Use the variable m to represent Mai's height.

Answers

Answer:

3*m=42

Step-by-step explanation:

equation: 3m=42

Answer:

42=m3

Step-by-step explanation:

Product means like, multiplication of the numbers or values

(-4,7) and (0,3)
find the midpoint

thanks i’m advance

Answers

Answer:  (-2,5)

Step-by-step explanation:

To find the midpoint, add the two x-terms and divide by 2. That's the x coordinate of the midpoint.  Do the same for the two y terms; that's the y coordinate of the midpoint.  In this case, add -4 + 0 and divide by 2 to get -2, the add 7 and 3 to get 10 and divide by 2 to get 5.

there were 450 balloons in all a total of 60% were used to how many were used​

Answers

Let used balloon be x

[tex]\\ \sf\longmapsto x=60\%\:of\:450[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{60}{100}\times 450[/tex]

[tex]\\ \sf\longmapsto x=45(6)[/tex]

[tex]\\ \sf\longmapsto x=270[/tex]

Step-by-step explanation:

Solution,

Let the number of used balloons be x,

Given:-

Total number of balloons= 450Used percentage of balloons= 60%

Now,

Number of used balloons(x)=

60% of 45060/100×450270

Hence, 270 balloons were used.

R(-6, 1), S(-3, -3)
Find the coordinates of the midpoint of a segment with given endpoints

Answers

Answer:

[tex]\boxed {\boxed {\sf ( - \frac{9}{2}, -1) \ or \ (-4.5, -1) }}[/tex]

Step-by-step explanation:

We are asked to find the midpoint of a line segment. When you find the midpoint, you essentially find the average of the x-coordinates and the y-coordinates. The midpoint formula is:

[tex](\frac {x_2+x_1)}{2}, \frac{y_2+y_1}{2})[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the line segment. we are given the endpoints R (-6, 1) and S (-3, -3). If we match the value and the corresponding variable we see that:

x₁= -6 y₁= 1 x₂= -3 y₂= -3

Substitute the values into the formula.

[tex]( \frac{-3 + -6}{2} , \frac{ 1+ -3}{2} )[/tex]

Solve the numerators.

-3 + -6 = -9 1 + -3 = -2

[tex](\frac {-9}{2}, \frac {-2}{2})[/tex]

Divide.

[tex]( - \frac {9}{2}, -1})[/tex]

The fraction can also be written as a decimal.

[tex](-4.5 , -1)[/tex]

The midpoint of the line segment RS is (-9/2, -1) or (-4.5, -1).

What is the probability of drawing a red card or a queen from a standard deck of 52 cards?


7 over 13


15 over 26


1 half


1 over 26

Answers

Answer:

4

456

4567

456

Step-by-step explanation:

What is the probability of drawing a red card or a queen from a standard deck of 52 cards?

7 over 13

15 over 26

1 half

1 over 26

The probability for red card or queen is given as 15/26. The correct option is (B).

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

The total number of red cards in the deck is 26.

And, the number of queens in the deck is 4.

Now, the probability of getting red card is given as,

P(red cards) = Number of red cards ÷ Total number of cards

⇒ P(red cards) = 26/52 = 1/2.

Similarly, the probability of queen is,

P(queen) = 4/52 = 1/13

Thus, the probability of drawing a queen or red card is given as,

P(red card or queen) = P(red card) + P(queen)

⇒ P(red card or queen) = 1/2 + 1/13 = 15/26.

Hence, the probability of drawing a red card or a queen from a standard deck of 52 cards is 15/26.

To know more about probability click on,

https://brainly.com/question/11234923

#SPJ2

Solve 1 and 2 step equations
2x-5=3

Answers

Answer:

x=4

Step-by-step explanation:

move -5 over and switch to 5+3=8/2=4

Construct arguements. Do you have enough information to compute the volume of the cone? explain.

Answers

Answer:

Can we fit together three congruent pyramids or cones to form ... Encourage students to construct arguments as to why a prism can be constructed using the .

Step-by-step explanation:

I need help with this question x2 - 16y2

Answers

A^2 - b^2 = (a+b) (a-b) where a = x and b = 4y

The derivative of (x^2 +1)(x^3+ 1) (by definition and basic rule)

Answers

Answer:

f'(x) = 5x^4 + 2x + 3x^2

Step-by-step explanation:

To find the derivative of this equation we can do two things.

One method is to use the product rule, which states that when f(x) consists of two functions multiplied to each other (meaning f(x) = g(x) * h(x)), the derivative is f'(x) = g'(x)*h(x) + g(x)*h'(x). In simple language, the derivative is found by finding the derivative of x² + 1 and multiplying it with the normal function of x³ + 1, after which you add the product of the nnormal function of x² + 1 and the derivative of x³ + 1.

it might be clearer when I show you:

[tex]f(x) = (x^2 + 1)(x^3 + 1)\\f'(x) = (2x)(x^3 + 1) + (x^2 + 1)(3x^2)\\Simplify:\\f'(x) = 2x^4 + 2x + 3x^4 + 3x^2 = 5x^4 + 3x^2 + 2x\\[/tex]

If you are not familiar with this rule you can first write out the function and then use the basic rule:

[tex]f(x) = (x^2 +1)(x^3+1) = x^5 + x^2 + x^3 + 1\\f'(x) = 5x^4 + 2x + 3x^2[/tex]

If you need any further help please say so in the comments! I hope this helps! If the steps seem complicated, I suggest you could revise expanding brackets (the first step of the second method) and the basic rules of deriving, but feel free to reach out if you struggle afterwards still


1. Match each diagram with its name.

Answers

. The entire answers are infront of you.

Below are the answers. Ontop are the questions.

You just need to see what letters and arrow matches the answer in the question.

PLEASEEEE HELPPPPP!!

Answers

situation = condition.

gratitude = appreciation...

luke has $1.40 in quarters and nickels. he has 2 more quarters than nickels. how many coins of each type does he have?

Answers

Answer:

3 nickels and 5 quarters

Step-by-step explanation:

Let n = number of nickels

q = number of quarters

q = n+2

.25q + .05n = 1.40

Using the first equation and replacing q in the second equation

.25( n+2) + .05n = 1.40

Distribute

.25n+.50 +.05n = 1.40

Combine like terms

.30n +.5 = 1.40

Subtract .5 from each side

.3n +.5-.5 = 1.40-.4

.3n = .9

Divide by .3

.3n/.3 = .9/.3

n = 3

q = n+2

q=5

Step-by-step explanation:

Let the

Nickel coin = x

Quarter coin = y

y = n + 2

0.25y + 0.05x = 1.4

0.25(x + 2) + 0.05x = 1.4

0.25x + 0.5 + 0.05x = 1.4

0.25x + 0.05x = 1.4 - 0.5

0.30x = 0.9

x = 0.9/0.3

x = 3

y = 3 + 2 = 5

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