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Ratios and percentages are employed everywhere, from comparing amounts to figuring out proportions in recipes, unit conversions, and scaling problems.
Sometimes it can be difficult to decide which approach makes calculations easier or more accurate.
How do you decide between applying ratios and percentages to solve practical issues? Are there any techniques or examples that make it easier to apply these concepts?
Unit conversions take place in different contexts, including distance, time, and measurements. Nevertheless, a lot of people modify figures without understanding the foundational mathematics.
In what ways can you use ratios or proportional reasoning to clarify unit conversions or make them easier to comprehend?
I am aware of how annoying the 1-minute flood restriction may be, particularly for frequent users. Unfortunately, it is doubtful that the restriction will be lowered worldwide because it is primarily in place to stop spam and automated posting.
But your idea makes sense—giving "Real Members" or trustworthy people a shorter wait time (like 30 seconds) may be a reasonable middle ground. To allow the administrators to immediately assess this proposal, it could be worthwhile to publish it in the Suggestions or Feedback section.
Adding a separate bookmark to mathsisfun.com in your browser toolbar is the simplest solution if you frequently switch between the two. This way, you may access it at any time without depending on a forum link.
Zach, that's a really good idea! PHPBB is undoubtedly a great alternative because it is dependable, adaptable, and offers a plethora of customisation choices, like the RapturePHP style you described. It provides a well-known layout that many people find easy to use. Thank you for sharing your knowledge; if the switch occurs, having a PHPBB expert nearby would be really beneficial!
Since an equilateral triangle is a two-dimensional object, it only has area rather than volume.
Use the following calculation to determine its area:
A = (√3/4) a^2
where a is a side's length.
To calculate the volume of a three-dimensional object that has an equilateral triangle as its base, such as a pyramid or triangular prism, you would multiply that area by the height (or depth) of the shape.
That's an intriguing effort, Leonard, and your analysis of the limitations of formula-based randomisation is sound. Sharing your work with randomness and cryptography researchers for validation is the best course of action.
This is what I would recommend:
Write a one to two-page synopsis outlining your concept, underlying presumptions, and main findings.
Add your testing data (NIST, Dieharder, etc.) and brief Excel samples.
Before going public, get a review from randomisation specialists or university cryptography labs.
After receiving input, you could choose to publish to a research journal or make a demo version publicly available.
In addition to ensuring that others can accurately assess your "future knowledge" approach to actual random generation, this will lend legitimacy to your project.
Find the distance between the points.
17. (−2, 6), (3, −6)
18. (8, 5), (0, 20)
19. (1, 4), (−5, −1)
20. (1, 3), (3, −2)
21. (1/2, 4/3) (2, −1)
22. (9.5, −2.6), (−3.9, 8.2)
d= √(x2-x1)^2 (y2-y1)^2
Answer 17: 13
Answer 18: 17
Answer 19: √61
Answer 20: √29
Answer 21: 2.78
Answer 22: 17.2
This is a nice exercise that shows how factoring patterns behave in various operations. Try (x+2)^2 and (x−3)^2. You'll see that the symmetry in their construction simplifies the outcomes whether you add, subtract, or multiply them. Additionally, evaluating at x=1/7 demonstrates how small values affect polynomial outputs, serving as a useful reminder of the connection between algebra and real numbers.
You're right to observe that.
On December 15, 2017, the AIM (AOL Instant Messenger) service was formally shut down.
The field you see in your account preferences is no longer functional and is an antiquated relic from that time period. It ought to be removed from the existing profile settings on the website.
The forums are a prime audience for math websites, but the marketers are employing spammy, non-contributive techniques to promote their links, which is against the community rules against unsolicited advertising and self-promotion. This is the straightforward explanation for the banning.
That seems intriguing!
It's always interesting to see fresh approaches to traditional factoring techniques. What is the step-by-step comparison between your method and the AC method: a simpler pattern or fewer calculations? I would be delighted to see your explanation!
That sounds fantastic!
Are the new animations centred around a particular subject, such as geometry or algebra? These kinds of visual maths tools make studying so much simpler; I'd want to know what's been added!
QUESTION 4:
ANSWER: D= 402m^5
Question 5:
Answer: 5195 cm^3
1+3+5+......+(2n-1)= n^2
A is right; there isn't enough data to identify the area in a unique way.
The equilateral triangle's size is not uniquely fixed by the distances to its three vertices.
As a result, the area cannot be calculated using the information provided.
Tony needs to make two cuts (one less cut than pieces) in order to cut a trunk into three pieces.
⏱️ Two cuts → Twenty minutes
Thus, 1 cut equals 20 ÷ 2 = 10 minutes.
Tony needs five cuts to make six parts. 5 x 10 = 50 minutes
Answer 50 minutes.
Your definition of “pseudo-compact” (every closed cover has a finite subcover) is actually the dual of compactness, commonly referred to as anti-compactness.
In ℝ, such sets must be finite because any infinite set can be covered by an infinite number of closed singletons, which do not have a finite subcover. Thus, only finite subsets of ℝ can be considered “pseudo-compact” in this regard.
Answer: 420 arrangement
Answer 1: They will both finish marking a paper together at 1:30 pm
Answer2: 2 lb of first alloy
3 lb of second alloy
Answer 3: tin per kg of alloy = 5/26 kg = 0.192 kg
Answer 4: 17th Jan temperature 4.8 degrees Celsius higher than 9th Jan
If 450 is first increased by 10% and then decreased by 15% , Then the resulting number is?
Answer: 420.75
Pick 4 random points on a sphere. what Probability function has the volume of tetrahedron with these points?
I've seen the question of average volume from somewhere and I am interested in the probabilities of the volume. (unfortunately I couldn't understand the answer...)
I'm sorry if my english is bad. If you don't understand anything please let me know. Thank you!
The tetrahedron's volume V depends on the scalar triple product of the four randomly selected locations on a sphere rather than having a straightforward closed-form probability function.
Small volumes are more likely since the majority of tetrahedra are almost flat.
For a unit sphere, the average volume is E[V]=1/105.
Question 1 : Two numbers are respectfully 20% and 50% more than a third , what percentage is the first to the second?
Question 2: If Ali salary is 35% more than that of Hashim , How much percent is Hashim salary less than that of Ali?
Question 3: If Maryam's salary is 25% less than that of Fatima, then how much percent is Fatima's salary more than that of Maryam?
Question 4: After deduction 20% from a certain sum, and then 30% from the remainder , there is 3500 left. Find the original sum?
Answer 1: 80%
Answer 2: About 25.9% less
Answer 3: 33.3% more
Answer 4: 6250
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Right triangle"
a (6,8,10) ---- hypotenuse 10
c (10,24,26) ---- hypotenuse 26
Not right triangles: B and D