what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters ​

Answers

Answer 1

Answer:

We conclude that the volume of a regular octahedron will be:

[tex]\:\:V\:\approx \:30.17[/tex] cm

Step-by-step explanation:

Given

The length of one of the side or edge of a regular octahedron = a = 4 cm

To determine

The volume of a regular octahedron = V

Using the formula to determine the volume of a regular octahedron

[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]

substituting a = 4 in the volume equation

[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]

[tex]V=\frac{64\sqrt{2}}{3}[/tex]         ∵ 4³ = 64

[tex]\:\:V\:\approx \:30.17[/tex] cm

Therefore, we conclude that the volume of a regular octahedron will be:

[tex]\:\:V\:\approx \:30.17[/tex] cm

Related Questions

PLEASE ANSWER I WILL MARK YOU BRAINLIEST!!!

Answers

9514 1404 393

Answer:

distributesubtractadddivide by

Step-by-step explanation:

  [tex]\begin{array}{rccl}&-2(5x+8)=14+6x\\\text{Step 1:}&-10x-16=14+6x&\text{distribute}&\text{-2 to $5x$ and 8.}\\\text{Step 2:}&-16x-16=14&\text{subtract}&6x\\\text{Step 3:}&-16x=30&\text{add}&16\\\text{Step 4:}&x=\dfrac{30}{-16}&\text{divide by}&-16\end{array}[/tex]

At each step after the first, we use one of the properties of equality to simplify the equation. In the first step, we use the distributive property to eliminate parentheses.

_____

Additional comment

Note that the first step could have been "divide by -2", which would result in the equation 5x+8 = -7 -3x. Subsequent steps would add 3x, subtract 8, and divide by 8, to give a result of x=-15/8. There is usually more than one way to work a math problem.

HELP WILL MARK BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

Answer: it would be d

Step-by-step explanation:

AQRS contains the points: Q (4,2) R (5.1) S (3.7). If the triangle is reflected across the y-axis, what will she?

Answers

Answer:

The answer is (-3, 7) hope this helps

Step-by-step explanation:

Answer:If it's reflected,then it should be (-3.7).

Step-by-step explanation:

ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
50% people use cellular mobile and 40% people use landline and 20% people use both. Find the probability that a person selected at random use neither.
a) 10% b) 30%
c) 70% d) 90%

Answers

Answer:

a) 10%

Step-by-step explanation:

To be able to own both (20%), you must fall into both categories. You own a cellular mobile, and you own a landline. The 20% is within the 50% + 40%.

50% + 40% = 90%

Subtract 90% from the total amount:

100 - 90 = 10

A) 10% is your answer.

~

Samantha created part of a table to show her savings. She saved at the same rate each week. Which graph shows this relationship?

Answers

Answer:

The answer is B

Step-by-step explanation:

because it is going up by 6 so graph B is the only graph going up by 6.

The  correct graph is with $6, $12, $18, $24.

What is Graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, from the given graph

The saving increases each week at the same rate therefore saving increases from 3rd to 4th week is 6$. this means that saving increases $6 each week.

Hence, option to is correct with $6, $12, $18, $24.

Learn more about graph here:

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The
table shows the lengths of four
trails at a horseback riding camp.
Estimate the total length of all the
trails. Show your work.
A. 2.6 B. 1.8 C. 4.2 D. 3.3

Answers

Answer:

Its not possible to solve without the actual table.

Step-by-step explanation:

round 17 21/30 to the nearest whole number

Answers

Answer:

i think 18

Step-by-step explanation:

dont come at me if im wrong

1620, 540, 180, 60, 20,...
Find common ratio.​

Answers

Answer:

multiplying by 3

Step-by-step explanation:

20x3=60 60x3=80. and the rest is the same.

What is the 30th term of the linear sequence below?
−5,−7,−9,−11,−13
,

Answers

a1 = -5, d = -2
Use formula: an = a1 + (n-1)d
a30 = -5 + (30-1)(-2)
a30 = -5 + (-38)
a30 = -63
The 30th term should be -63

3 + 27y + 15z

x + 9y + 5z​

Answers

Answer: sum

Step-by-step explanation:

Answer:

sum

Hope this helped!

Have an amazing day!

Engineers are planning a new bridge to cross a small river. Surveyors created the diagram to show where the bridge would cross the river. What is the distance across the river where the new bridge will be built?

Answers

Answer:

56.25 feet

Step-by-step explanation:

As per diagram, the two triangles are similar, as all angles are congruent (one is vertical, one is right, one is the

Let the distance across the river be x.

The ratio of corresponding sides is same. Find x using ratios:

x/45 = 75/60x = 45*75/60x = 56.25 feet

Answer:

56.25

Step-by-step explanation:

I took the quiz.

Please I needddd helppp is it correct or do I need to change something

Answers

Your correct they are in the right spots

Your friends and you go to Olive Garden for dinner. You all spend $55.65. You all leave a 15% tip. How much tip did you all leave?

Answers

Answer: You and your friends spent $8.35 for tips.

Step-by-step explanation:

What is the discriminate?

Answers

so it’s basically asking for the difference

Please help! asap ill brainlist you :(


At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.

Answers

Answer:

5

Step-by-step explanation:

hope this helps!!!

HELP PLS ASAP I WILL GIVE 50 points and brainliest PLS

The variable z varies jointly with x and y. Also, z = -75 when x = 3 and y = -5.

What equation describes this variation?
z = kxy
What is the constant of variation?
k =

Answers

Answer:

Maybe is 2y

Step-by-step explanation:

Step-by-step explanation:

z = kxy, where k is a real constant.

We have z = -75, x = 3, y = -5.

(-75) = k(3)(-5)

-75 = -15k

k = 5.

Dave has 30% of coupon

Answers

Answer:

HE GETS 30% OFF

Step-by-step explanation:

30% off the actual price!!

the crowd at a sporting event is estimated to be 2,500 people. the exact attendance is 2,486 people. what is the percentage error?

Answers

Answer:

0.56%

Step-by-step explanation:

Percentage error

[tex] = \frac{2500 - 2486}{2500} \times 100 \\ \\ = \frac{1400}{2500} \\ \\ = 0.56\%[/tex]

The crowd at a sporting event is estimated to be 2,500 people, the exact attendance is 2,486 people, the percentage error is, 0.56%

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The crowd estimated to be 2,500 people

The exact attendance is 2,486 people

Percentage error = ?

Percentage error = (estimated value- exact value)/estimated value×100

Percentage error =   (2,500 - 2,486) /2500×100

                             =  0.56%

So, the percentage error is 0.56%

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Answer Both Questions

Frankiln are 3/4 of an energy bar before his baseball game. Trey ate 2/3 of what Franklin ate. What fraction of an energy bar did Trey eat?


Colin was helping his uncle clean up a construction site. Colin's job was to make a neat stack of scrap wood. Each piece of wood was 1 3/8 inches thick. At the end if the day, Colin's stack was 57 3/4 inches tall. How many pieces of wood were in Colin's stack?

Answers

Answer:

a) 1/2 of an energy bar

b) 42 pieces

Step-by-step explanation:

a) Here, Franklin are 3/4 of an energy bar while Trey are 2/3 of what Franklin ate

The fraction are by Trey is 2/3 * 3/4 = 6/12 = 1/2

b) To find the number of pieces of wood present, we will need to divide the height of Colin’s stack by the thickness of each piece of wood

Mathematically, that will be;

57 3/4 divided by 1 3/8

= 231/4 * 8/11 = 42 pieces

Answer:

kejorrerprpfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

( FOOLISH ANSWERS WILL BE REPORTED) help i will give brainliest 6th grade mαth

Answers

Answer:

33.8

Step-by-step explanation:

33.8 is the closest to half of 65.

9514 1404 393

Answer:

  125

Step-by-step explanation:

The proportion you want is ...

  [tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]

52% of 125 is 65.

__

Comment on the formulation

You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...

  whole/part = 100/52 = ?/65

Then the solution is one step: multiply by 65.

NEED HELP ASAP!

Ted has an impressive total of 145 dimes and quarters. The collection is worth $24.25.
How many dimes and quarters does he have?

Answers

9514 1404 393

Answer:

80 dimes65 quarters

Step-by-step explanation:

Let q represent the number of quarters (the higher-value item). Then 145-q is the number of dimes. The total collection is worth ...

  0.25q + 0.10(145 -q) = 24.25

  0.15q = 9.75 . . . . . . . . . . . . . . . . subtract 14.50; collect terms

  q = 65 . . . . . . . . . . . divide by 0.15

  d = 145 -q = 80

Ted has 80 dimes and 65 quarters.

___

Check

  80 dimes: $8.00

  65 quarters: $16.25

Total: $8.00 +16.25 = $24.25.

MOLDY FRIJOLES!!!!!what is x+y=10

Answers

Answer:

lol......

.

..

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

6 of 12
Write in index form
(-4) × (-4) × (-4) x (-4) × (-4) x (-4)

Answers

Given:

The expression is

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]

To find:

The index form of given expression.

Solution:

Index form is the exponent form, it means, the number is represented in power of a number.

We have,

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]

Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]

Therefore, the index form of given expression is [tex](-4)^6[/tex].

70% off
original price!
Abdul wants to buy a cat calendar. The original price is $5.30. What is the sale price?
I need this worked out please

Answers

Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

[tex] \frac{x}{5.30} = \frac{70}{100} [/tex]

[tex]100(x) = 70(5.30)[/tex]

[tex]100(x) = 371[/tex]

[tex] \frac{100(x)}{100} = \frac{371}{100} [/tex]

[tex]x = 3.71[/tex]

[tex]70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71[/tex]

[tex]5.30 - 3.71 = 1.59[/tex]

What is the slope intercept form for the equation that has these two points (5,-6) and (15,-10)

Answers

Answer:

Y = -2/5x - 4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

AAAAAAAAAAAAAASASAAAAAAAA

Answers

Answer:

-5/2 is located left of -1

Step-by-step explanation:

Here, we want to select the correct option

We are comparing two numbers and the one on the left is less than the one on the right

Now, on the number line, we should notice one thing

The thing is that numbers that are less than a certain number will be positioned at the left hand side of the number

So what we have here is that the smaller number -5/2 is placed at the left hand side of -1 since it is the smaller number

Answer:

C.

Step-by-step explanation:

have a very awesome day!!!!

Is the relation shown below a function? Use the graph below to justify your response.

(0, 0), (2, 0), (2, 2), and (3, 4)

Answers

Answer:

yes it is a function there is no graph so I cant justify it

The relation is not a function.

Relations

Relations that are functions will pass the vertical line test

Points

The points are given as:

(0,0), (2,0), (2,2), and (3,4)

Graphs

Next, we plot the points on the graph (see attachment).

From the graph, we can see that a vertical line passes through points (2,0) and (2,2).

Hence, the relation is not a function.

Read more about functions and relations at:

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PLS HELP MEEEEE 1. An Amazon packaging plant can ship 315 packages in 7 hours. What is the constant of
proportionality that relates the number of packages shipped, y, to the number of hours, x?
22
45
0
7.
O
315

Answers

45 packages are shipped in one hour. I divided 315 by 7

I have attached your answer

What is the domain of F? Will mark brainiest

Answers

Answer:

A

Step-by-step explanation:

the dots are at -5 an 6.

the dots are closed meaning that they are equal to. -5 is less than 6 and 6 is greater than -5. so the answer should be A

The domain of F is 6

I didn’t understand how to solve this, i’d be happy if someone explained thank you

Answers

Answer:

Option (E)

Step-by-step explanation:

[tex]\frac{a}{b}=\frac{c}{d}=k[/tex]

[tex]\frac{a}{b}=k[/tex]

[tex]b=\frac{a}{k}[/tex] ------(1)

[tex]\frac{c}{d}=k[/tex]

[tex]d=\frac{c}{k}[/tex] -------(2)

Since, [tex]\frac{6a+24}{md+6b}=k[/tex]

By substituting the values of b and d from equation (1) and (2),

[tex]\frac{6a+24}{\frac{mc}{k}+\frac{6a}{k}}=k[/tex]

[tex]\frac{k(6a+24)}{6a+mc}=k[/tex]

[tex]\frac{6a+24}{6a+mc}=1[/tex]

6a + 24 = 6a + mc

mc = 24

m = [tex]\frac{24}{c}[/tex]

Therefore, Option (E) will be the correct option.

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