Calculate the volume of a regular octahedron whose edges are all 10 cm (do not use the formula to find the volume)​

Answers

Answer 1

Answer:

V≈471.4cm³

Step-by-step explanation:

V =

[tex] \frac{1}{3} \times \sqrt{2} \times {a}^{3} [/tex]

V= 471.4

Calculate The Volume Of A Regular Octahedron Whose Edges Are All 10 Cm (do Not Use The Formula To Find
Answer 2

Answer:

Solution :

Here we have given that the all edges if octahedron are 10 cm. We need to find the volume of regular octahedron.

[tex] \rule{300}{1.5}[/tex]

As we know that the formula of volume of octahedron is :

[tex]\longrightarrow{\pmb{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

Substituting all the given values in the formula to find the volume of regular octahedron :

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10)}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10 \times 10 \times 10)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(1000)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{ \sqrt{2} }{3} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = 0.471404 \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{\underline{\underline{\red{Volume_{(Octahedron)} \approx 471.404 \: {cm}^{3}}}}}}}[/tex]

Hence, the volume of regular octahedron is 471.404 cm³.

[tex] \rule{300}{1.5}[/tex]


Related Questions

expain plese and txsss

Answers

(x+2)(x-16)
A = X
B= 2
C= X
D= -16

Answer:

(x-16)(x+2)

Step-by-step explanation:

-32=-16*2

-16+2=-14

if x is the midpoint of AB, then AX=XB?

Answers

Answer:

Yes

Step-by-step explanation:

AX is equal to XB

Please help it’s due in an hr

Which of these functions has a y-intercept that is
greater than that of the linear function
represented by the table of values below, and
why?
х
у
2
19
4
13
17
6
7
19
9
23
A. y = x + 9, because the y-intercept of the function
represented by the table of values is 2
B. y=x+9, because the y-intercept of the function
represented by the table of values is 5
C. y = 8x+1, because the y-intercept of the
function represented by the table of values is 2
D. y = 8x + 1, because the y-intercept of the
function represented by the table of values is 5

Answers

Answer: Choice B

y = x+9 because the y-intercept of the function represented by the table is 5.

============================================================

Explanation:

Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.

m = (y2-y1)/(x2-x1)

m = (13-9)/(4-2)

m = 4/2

m = 2

The slope is 2.

Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b

y = mx+b

y = 2x+b

9 = 2*2+b

9 = 4+b

9-4 = b

5 = b

b = 5

The equation for the table is y = 2x+5

We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.

Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.

Simplify the expression.

-6 + 2(9a + 5)

Answers

-6 + 2(9a + 5)

-6 + 18a + 10

18a + 4

Hope this helps!
Brainliest is much appreciated!
18a +4
Distribute the 2 to the 9a and the 5 to get
-6+18a+10
Combine like terms (-6 and 10) to get
18a+4

HURRY QUCIK
Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.

Answers

Answer:

Step-by-step explanation:

which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2

Answers

Step-by-step explanation:

4⁵ × 4^-7 / 4^-2

it is important to understand that a negative exponent means 1/...

a^-n = 1/(a^n)

in that sense we have therefore

4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)

4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1

so, "1" is the fully simplified expression equal to the original expression.

The total bill was 56.25. how much would the bill be if 7 % tax was added

Answers

I used a calculator to solve and it came up with $60.1875

Solve for the positive value of x: 2x² = 50

Answers

Answer:

x=5

Step-by-step explanation:

i believe that it is x=5

Jill takes 2 hours to paint a room, Jim takes 3 hours to paint a room. How long (in minutes) will it take both of them to paint a room

Answers

Jill will take 120 minutes to paint a room

Jim will take 180 minutes to paint a room

All together Jim and Jill will take 200 minutes to paint a room

Answer:

  72 minutes

Step-by-step explanation:

The sum of the rates of work in rooms per hour is ...

  Jill's rate + Jim's rate

  = (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour

__

Then the combined rate in hours per room is ...

  1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)

  = 72 minutes per room

Jill and Jim can paint the room in 72 minutes when they work together.

can someone please help me

Answers

a.30
b.60
c.90
must be 180

Answer:

angle A=30°

angle B=60°

angle C=90°

Step-by-step explanation:

given : A=30°,C=90° the mark states it is 90°

find :C=?

A+B+C=180°

30°+90°+x°=180°

=120°+x°=180°

=120°-120°+x°=180°-120°

=x°=60°

please help me figureout 4y+x=8

Answers

the answer is
x+4y=8

Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was left with $86 after buying the cake, what is Judah’s hourly wage?
$6.14
$7.00
$8.00
$9.63

Answers

Answer:

$7.00

Step-by-step explanation:

$86+$12=$98

$98÷14=7

$ Judah left plus $ spent on cake
$86+12=$98
$98 earn last week

Total $ earn divide by total hours work
$98/14=$7

Judah’s hourly wage was $7.

Simplify the expression: 4 + 5(2x - 3) - 6x *

16x + 19
-16x -11
4x -9
4x + 9

Answers

Step-by-step explanation:

4+5 (2x-3)-6x

9 (2x-3)-6x

18x-27-6x

12x-27

Answer:

[tex] \sf \: 4x - 11 [/tex]

Step-by-step explanation:

Given expression,

→ 4 + 5(2x - 3) - 6x

Let's simplify the expression,

→ 4 + 5(2x - 3) - 6x

→ 4 + 10x - 15 - 6x

→ (10x - 6x) + (4 - 15)

→ (4x) + (-11)

→ 4x - 11

Hence, the answer is 4x - 11.

Write a system of linear inequalities represented by the graph.



Inequality 1:

Inequality 2:

Answers

The system of linear inequalities represented by the graph is 2 < x < 3.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The dotted lines represents strictly less than or greater than inequalities.

Inequality 1 represents x > 2 and inequality 2 represents x < 3.

The combined inequality can be represented as 2 < x < 3.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ1

PLEASE ANSWER ASAP!!!!

Answers

Answer:

68

Step-by-step explanation:

Let a and b be real numbers where ab+0. Which of the following functions could represent the graph below?
O f(x) = x(x – a)3(x – b) 3
O f(x) = (x – a)2(x – 614
O f(x) = x(x – a) (x – 5)2
O f(x) = (x – a)5(x – b)

Answers

The following functions could represent the graph below then the correct option is B; y =  (x - a)^2 (x - b)^4.

What is graph ?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

we have given that a and b are real numbers different than zero.

From the graph, we can see that the line touches the x-axis in two values.

Now, if we would have an equation such as:

y = x(x - a)^3 (x - b)^3

then when x = 0

y = 0(0-a)^3 (0-b)^3

y = 0

But in the graph, we can see that when x = 0, the value of y is different than zero,

(For example, if x > a and x < b we would have a negative value for y)

Then the correct option is B ;y =  (x - a)^2 (x - b)^4

Learn more about graphing functions here:

https://brainly.com/question/14455421

#SPJ1

The digits from the serial number of a dollar bill are listed below.

6,8,5,8,2,8,5,8

Answers

Answer:

8 occurs most often so the number is 8.

Answer:

The mode is 8.

Step-by-step explanation:

mode means the number that occurs the most in a list.

Perform each matrix row operation and write the new matrix

Answers

Answer:

[4  -11   1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

Step-by-step explanation:

This is Finite Math, I got this hehe :)

To find the answer, first you need to understand what R means.

It stands for "row". So R1 means "Row 1".

So: -3R1 + R3 means that you need to multiply -3 by all of the numbers in row 1 and then add all of the numbers in row 3

[0   3   1   -1   l  6]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4  1    5   3   l   7]

Then use ^^THAT^^ and apply the next set of instructions.

-4R1 + R4 means that you multiply -4 by all of the numbers in row 1 and then add all of the numbers in row 4:

[4  -11    1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

Perimeter= 40

Area= 120.71

Step-by-step explanation:

Area=119
The other dude gave the perimeter so I’ll give the area I got.
Just divide the whole area into two trapezoids and a rectangle.
Area of trapezoid is 1/2(a+b)*h. There are two trapezoids that are identical so just (a+b)/h
(5+11)*4=64
Add the area of the square.
5*11=55
Add together.
119

Angela is following this recipe to make biscuits.
Angela uses 1.1 litres of syrup.
How much sugar is needed in kg?

Recipe: Makes 14 biscuits
110 g margarine
100 g sugar
275 ml syrup
200 g oats
50 g sultanas

Answers

Answer:

  0.4 kg

Step-by-step explanation:

A proportion can be used to find the amount of sugar.

  x/(1.1 L) = (0.1 kg)/(0.275 L)

  x = (1.1)(0.1)/0.275 kg = 0.4 kg

Angela needs 0.4 kg of sugar for her biscuits.

Harry spends $7.83 on 3 bags of walnuts. The bags all cost the same amount. What is the cost of each bag?

Answers

Answer:

i think the cost of each bag is $2.61

Step-by-step explanation:

suppose the cost of each bag is $x

7.83 = 3x

7.83/3 = x

2.61 = x

so the cost of each bag is $2.61

2.61$ if you take 7.83 and divide it by 3 then you will have your answer.

can anyone plz help me with this math problem

Answers

the answer to the question is f=1

Miss Watson runs a distance of 200 meters in 25 seconds.
Work out the average speed of Miss Watson in meters per second?

Answers

Step-by-step explanation:

D = 200m T = 25s

The formula for speed is speed = distance ÷ time

S = 200 ÷ 25

S = 8m/s

What is the value of x?
70°
35°
30

Answers

Answer:

75 degrees

Step-by-step explanation:

all added up is 180 on every triangle. 70+35=105. 180-105=75

B. 75°

Because All triangles add up to 180°. Therefore, 70°+35°=105°. From there, 180°-105°=75°.

what is the sum of the rational expressions below 2x+5/9x+4x/x-3

Answers

Answer:

23x + 9

 ———————

    9  

on a number line, the directed line segment from q to s has endpoints q at –8 and s at 12. point r partitions the directed line segment from q to s in a 4:1 ratio.which expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r?

Answers

The location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]

The midpoint formula is expressed according to the formula;

[tex]R(x, y) = (\frac{ax_1+bx_2}{a+b},\frac{ay_1+by_2}{a+b})[/tex]

where;

a and b are the ratios

Given the coordinates Q(-8, 0) and S(12, 0) partitioned in a 4:1 ratio, the coordinate of point R will be expressed as:

[tex]R(x, y) = (\frac{4(-8)+0}{4+1},\frac{1(12)}{4+1})\\R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]

Hence the location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]

Learn more on midpoint here: https://brainly.com/question/5566419

please help anybody hm​

Answers

Answer:

The answer is 1

Step-by-step explanation:

The answer is 1

The reason that it’s one and not zero is because your multiplying the number by itself 0 times and that means you’re not multiplying by anything at all.

Solve For P (pls answer quick)

Answers

Answer:

D

Step-by-step explanation:

Will mark Brainliest
In questions 6 – 9, state the solutions for the quadratic equation depicted in the graph.

Answers

The solutions are where the quadratic is equal to 0, or when the quadratic crosses the x axis.

Where the quadratic crosses the x axis are the solutions:

6) x = –5, x = –6

7) x = 0, x = 1

8) x = –6, x = 1

9) x = –4, x = –3

ophia can text 95 words in 10 minutes. At this rate, how many minutes would it take her to text 114 words? Fill out the table of equivalent ratios until you have found the value of x. Words Minutes 9595 1010 114114 xx You must answer all questions above in order to submit. attempt 1 out of 2 Christopher Vargas Tables of Equivalent Ratios (Guided) Dec 10, 9:21:57 AM Watch help video Sophia can text 95 words in 10 minutes. At this rate, how many minutes would it take her to text 114 words? Fill out the table of equivalent ratios until you have found the value of x.

Answers

Answer:

12 minuts

Step-by-step explanation

If you divide 95 by ten you get 9.5, and 9.5 to 95 and you get 104.5 and it is 11 minuts. add it again and you are at 114 words and it is 12 minuts.

Other Questions
the orthocenter of a triangle is at the origin, and two of the vertices of the triangle are at (-5,0) and (3,4) Find the third vertex of the triangle The radius of the circle shown below is 8 centimeters. What is theapproximate length of XY?115A. 50.3 cmB. 16.1 cmC. 8.0 cmD. 64.2 cm I need help plz1210812.5 On the occasion of national science and technology day hat equation represents this sentence?7 less than a number is 16. 7n=16n7=167=16nlike you cut g7=n16 The limb of an alligator, when compared to that of a dog supports which typeof evidence of evolution?A.embryologyB.fossil recordC.homologous stucture,D.geographic distribution.No links or bots please and thank you what is the point slope equation of the line that has a slope of 1/8 and goes through the point (2,-3) What is the value of -2 ____________ reinforcement occurs if a behavior is only reinforced some of the time. A. Continuous b. Positive c. Intermittent d. Negative. What is the probability of rolling a 4 on a number cube and pulling a red marble out of a bag that contain 3 red, 2 black, and yellow marbles? Help please! (see imagine) Explain the the verse below in your own words. Hebrews 11:7 All of the following would result in a population increase except- a high rate of immigration- a higher death rate than birth rate - a low rate of emigration - a low birth rate x is a random real number between 0 and 3. what is the probability that it is closer to 0 than it is to 1? what is the answer to this definition?;a positive or negative electrical quality. What is the correct form of the equilibrium constant for the reaction of hydrogen and oxygen to form water? The equation is: 2H 2( g) + O 2( g) H 2O( g) Kc = ([H2O]/[O2] [H2])Kc = ([H2O]/[O2] [H2]2)Kc = ([H2O]/[O2] [H22])Kc = ([H2O]2/[O2] [H22])Kc = ([H2O]/[O2] [2H2]) Which statement best identifies a differeWhich statement best identifies a difference in the atmosphere of Amsterdam?Theft has increased significantly.Most of the Dutch now sympathize with the Nazis.There is much rejoicing now that the English are set to invade.The Jews have become increasingly rebellious against their Nazi oppressors.nce in the atmosphere of Amsterdam? why are peas carbohydrates need help asap plz help me select the two values of x that are roots of this equation 2x^2-11x+15=0