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
5 The average low temperature for one winter day is 10°F.
The low temperature on that day was actually -2°F.
Write a subtraction problem to represent the
situation. Then write the subtraction problem as
an addition problem.
Answers
Answer:
10 - (-2) = 12, 10 + 2 = 12
Step-by-step explanation:
10 - (-2) = 12
10 + 2 = 12
This is my question pls help
Answers
Answer:
a = 15
Step-by-step explanation:
Substitute b = 12 , a = 9 into the equation
12 = [tex]\sqrt{a^2-9^2}[/tex]
12 = [tex]\sqrt{a^2-81}[/tex] ← square both sides
144 = a² - 81 ( add 81 to both sides )
225 = a² ( take square root of both sides )
± [tex]\sqrt{225}[/tex] = a , then
a = ± 15
a > 0 , so a = 15
In the figure below, a tangent and a secant are drawn to a circle from exterior point E.
Suppose that EG = 13 and ED=26. Find CD.
Answers
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Now ED = EC + CD
26 = 6.5 + CD
19.5 = CD
The value of the segment CD will be equal to 19.5.
What is secant and tangent?The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.
The value of the segment CD will be calculated as below:-
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Calculate CD.
ED = EC + CD
26 = 6.5 + CD
19.5 = CD
Therefore, the value of the segment CD will be equal to 19.5.
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At 11:00 A.M. the temperature was 37 °F. At 11:00 P.M. the temperature was -6 °F.
What was the change in temperature between 11:00 A.M. and 11:00 P.M.?
Answers
Answer:
The temperature decreased by 43 degrees
-43
Step-by-step explanation:
Difference means subtraction
37 - (-6) = -43
I hope this helps!
In a bag of candies, the total number of yellow candies and blue candies is 75. The number of yellow candies is
15 more than twice the number of blue candies. How many yellow candies are in the bag?
Help!!
Answers
Answer:
Step-by-step explanation: 2x+15 = 75
2x=60
x=30 blue candies
30 + 15 = 45 yellow candies in the bag
Shonda uses a $10 off coupon to purchase a purse at Chic Mart. At the register, she signs up for a credit card which gives her 20% off her total after the coupon. If Shonda’s total was $60.00, what was the original price of the purse?
Answers
Based on the coupon and the discount, we can calculate that the original price of the purse is $85.00
The 20% was applied after the coupon so the price after the coupon was:
= Total price / ( 1 - Discount)
= 60 / ( 1 - 20%)
= $75
The coupon was $10 so before it was attached it the price was:
= Price after coupon + coupon
= 75 + 10
= $85
In conclusion, the original price was $85.
Find out more on this at https://brainly.com/question/14413529.
If 4 Apple pies require 22 apples, how many pies can be made with 77apples?
IT IS WORTH 50 POINTS
Answers
Explanation:
22/4= 5.5
77/5.5= 14
Answer:
14 apple pies
Step-by-step explanation:
PLEASE HELP!
A park charges $16 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $51 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Answers
Hope this helped
:D
Find the equation of the line shown.
у
10
9
8
7
6
5
4
3
2
N
O
Х
1 2 3 4 5 6 7 8 9 10
Answers
The equation of the line shown is y = 4 x
What is a straight line?A straight line is the shortest distance between two points. the equation of straight line is represented as [tex]y = mx + c[/tex]
m is the gradient
y2, y1, x2, x1 are gotten from the graph
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{8 - 4}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
m = 4
c is the intercept on x-axis
from the graph c = 0
substituting the values give:
y = 4 x
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How do you turn 48% in to a decimal?
Answers
Answer:
0.48
Step-by-step explanation:
Since a percent is ALWAYS a part of the number 1, this makes it to where you must multiply by 100 in order to convert a percent into a decimal. In this case, 48%(100) is 0.48.
jack has $37 and saves $6.50 per week diane has $9 and saves $8.25 per week write and solve an equation to find out how many weeks it would take for jack and diane to have saved the same amount of money
Answers
-1.75x = 28
X= 16
If x=9 and y=- -2 evaluate the following expression:
x+y
Answers
Answer:
x + y = 11
Step-by-step explanation:
You would need to substitute the numbers into the expression.
Evaluate means that we need to work out what the answer would be.
x + y is equivalent to 9 - - 2.
- - is equivalent to +.
Therefore you would do 9 + 2, which equals 11.
Hope this helps :)
Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1:4:6. If 20 buckets of sand are used, how many buckets of EACH of the following will be
needed?
a)
Cement:
T
b) Gravel:
Answers
please answer this, click file, thank you
Answers
Answer:
the answer is 34°
Step-by-step explanation:
a straight line = 180°
just do 180 - 146 = 34
The two lines across from another are both equally 146° so it’d be the same for the other one to be 34°
Determine the slope of the line. what does it represent about the plant?
Answers
Answer: slope is 2/3
Step-by-step explanation:
if f(x)=-x+2 find f(6)
Answers
Answer:
Answer: -4
Step-by-step explanation:
[tex]{ \rm{f(x) = - x + 2}} \\ \\ { \rm{f(6) = - (6) + 2}} \\ \\ { \rm{f(6) = - 4}}[/tex]
The value for f(6) = -4
What is the function of f(x)?The function of f(x) is set to a term such that for every value of x, there is a unique value for it on the graph.
From the given information, we are given a function
f(x) = -x + 2To find f(6), we replace x with 6.
f(6) = -6 + 2f(6) = -4Learn more about function of f(x) here:
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Insert two rational number between: 2.23 bar and 2.24 bar
Answers
General method:
Given numbers are 2.23 bar and 2.24 bar
2.23 bar = 2.232323...2.24 bar = 2.242424...Two rational numbers between them
= 2.232525... and 2.239899...
Mean Method:
Let X = 2.232323...→ → →eqn(i)
since the periodicity is 2 then multiply eqn(i) with 100
⇛100×X = 2.232323...×100
⇛100X = 223.232323...→ → →eqn(ii)
Subtract eqn(ii)- eqn(i)
100X = 223.232323...
X = 2.232323...
(-)
__________________
99X = 221.000000...
__________________
⇛99X = 221
⇛X = 221/99
and
Let X = 2.242424...→ → →eqn(i)
since the periodicity is 2 then multiply eqn(i) with 100
⇛100×X = 2.242424...×10
⇛100X = 224.242424...→ → →eqn(ii)
Subtract eqn(ii)- eqn(i)
100X = 224.242424...
X = 2.242424...
(-)
_________________
99X = 222.000000
_________________
⇛92X = 222
⇛X = 222/99
Now we have 221/99 and 222/99
The rational number between them by mean method (a+b)/2
⇛{(221/99)+(222/99)}/2
⇛(443/99)/2
⇛443/198
and Second rational number
⇛{(221/99)+(443/198)}/2
⇛{(442+443)/198}/2
⇛(885/198)/2
⇛885/396
Answer: The two rational numbers between them are 443/198 and 885/396.
also read similar questions: Give five rational numbers lying between 3/5 and 4/5. Insert six rational numbers between 3 and 4.
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Help Please !! I Need To Have This Turned In By The Next Hour , Anybody Know It !?
Answers
Answer:
no
Step-by-step explanation:
Step-by-step explanation:
Because lines are parallel you can use certain rules to determine the relationship of angle 1 & 2.
(A1 & A2 for short)
With the C shape within the parallel lines we can guarantee that the sum of A1 and A2 is equal to 180.
We can also assume A2 is less than 90° as the lines are parallel and the opposing, non parallel line is acute. With this knowledge and the C shape rule, A1 is therefore more than 90°.
Hope this helps
ASAP HELP *Can a triangle have sides with the given lengths? Explain, showing all the work
9 cm, 11 cm, 15 cm
please Explain
Answers
Answer:
yes
Step-by-step explanation:
For the sides to form a triangle , then the sum of any 2 sides must be greater than the third side
9 + 11 = 20 > 15
9 + 15 = 24 > 11
11 + 15 = 24 > 9
The 3 sides given will form a triangle
Note that
The length of any two sides must be greater than the third side
So
9+11=16>1511+15=26>99+15=24>11Yes it's a triangle
Find the value of x.
Answers
Answer:
x = 12
Step-by-step explanation:
Angle Bisector Theorem: PS / PQ = RS / QR
24/14 = x/7
cross-multiply:
14x = 168
x = 12
1. You are setting up a shelf display filled with present
boxes and other decor. Each shelf has a length of 116
inches and a width of 30 inches. If there are 5 shelves,
what is the total area you can use for the decor?
2. Buddy is figuring out how long his snowflake chain
around the whole store needs to be. Use the diagram
below to find the perimeter of the store! Type your
work and solution in the box under the diagram.
Answers
Answer:
1. 17,400 in²
2. ???
Step-by-step explanation:
1. If the the length of each shelf is 116 inches and the width is 30 inches then 1 shelf has 3480 in² of space. Since that's for 1 shelf and we have 5 shelves you multiply 3480 by 5 to get 17400.
2. You didn't give any diagram so I can't really help here but just add up all the side of the shape it gave you. You'll probably have to do some math to find missing sides.
how do you solve this inequality
[tex] \frac{2x - 3}{5} - \frac{x}{3} \leqslant 2[/tex]
Answers
[tex]\dfrac{2x -3}{5} - \dfrac x3 \leq 2\\\\\implies \dfrac{6x-9-5x}{15} \leq 2\\\\\implies x-9 \leq 15 \times 2\\\\\implies x -9 \leq 30\\\\\implies x \leq 30 +9 \\\\\implies x \leq 39\\\\\text{Interval,}~ (-\infty, 39 ][/tex]
Answer:
x
Step-by-step explanation:
Refer to '<' as ' less than or equal to '
Whenever you are deal with these types of inequalities / equations, nake sure to equate the denominators of both entities involved in the operation be it ( -, × , ÷ ,+ )
with that in mind
* 2x - 3/5 - x/3 < 2 has 2 different denominators i.e - 5 & 3
so to equate both sides, let's multiply each by the denominator they are lacking.
* 2x - 3/5 lacks 3 compared to -x/3.
* similarly, -x/3 lacks 5 compared to 2x - 3/5
multiply both by what they lack (2)
thus, (2x - 3 )×3 /(5) × 3 - (x × 5) × 5/ (3) × 5 < 2
* 6x - 9/ 15 - 5x/15 < 2
we can now combine the numerators since we now have a common denominator which is 15.
* 6x - 9 - 5x/ 15 < 2 (6x-9-5x) is equal to -9 + x = x - 9.
criss cross
* x - 9 < 30
* x < 39
calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interest then the simple interest?
Answers
Answer:
Simple: 6000
Compound: 6050
Difference: 50
Step-by-step explanation:
Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get
A = 5000(1+10% * 2)
convert 10% to a decimal by dividing by 100 and plug that in
10% = 0.1
5000(1+0.1*2) = 5000(1.2) = A = 6000
Compound interest formula: A = P(1+r)^t
Plug our values in
5000(1+0.1)^2 = 6050
Difference = 6050 - 6000 = 50
  I need help on 7 and 8 plssssss
Answers
or
[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~ [tex] \sf - 2 <y \leqslant 7[/tex]or
[tex] \sf x ∈ (-2 , 7][/tex]What is equivalent to -2/5x=-4
A. -20
B. 1
C. -10
D. -8
E. X= -8/5
Answers
Answer:
10
Step-by-step explanation:
Multiply each side by the reciprocal, -5/2
x = -4 * -5/2
x = 20/2
x = 10
Please help! IXL math problem
Answers
Answer:
224, 755
Step-by-step explanation:
you first have to find the differnce between 177 and 47 which equals to 133.
so you have to do 94+133
and 885-133
What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given
Answers
Answer:
18 - 2x = 4x (Given)18 = 6x (Addtion property of equality)3 = x (Division property of equality)Step-by-step explanation:
Given - This is the start of the proof. Use this for the information given from the start.
Addition property of equality - Use this when adding terms on both sides of an equation.
Division property of equality - Use this when dividing terms on both sides of an equation.
For a system of linear equations, the solution for the system is__
Answers
Answer: The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4,7) is the solution to the system of linear equations.
Picture:
I need help with this
Answers
Answer:
What do you need help with? Try uploading a picture or copying the question
ASAP
Jeremy is solving this system of equations algebraically. Which equation could be a step in his work?
y = 3x + 1
4x - 3y = -13
Answers
Answer:
3x+14x
Step-by-step explanation:
Answer:
C
Step-by-step explanation: