Calculate the volume of a regular octahedron whose edges are all 10 cm (do not use the formula to find the volume)
Answers
Answer:
V≈471.4cm³
Step-by-step explanation:
V =
[tex] \frac{1}{3} \times \sqrt{2} \times {a}^{3} [/tex]
V= 471.4
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
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
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 + 18a + 10
18a + 4
Hope this helps!
Brainliest is much appreciated!
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
Solve for the positive value of x: 2x² = 50
Answers
Answer:
x=5
Step-by-step explanation:
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
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
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
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
$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:
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
can anyone plz help me with this math problem
Answers
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
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 ratiosGiven 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 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
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.