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3 years ago

Can the numbers 12,6 , 6 be used to form the sides of a triangle

Mathematics

2 answers:

kompoz [17]3 years ago

6 0

Answer:

No they can not make a triangle

Step-by-step explanation:

Look at the triangle inequality theorem. If it does not meet all the 3 equation requirements than the triangle can not be formed. Let me know if you need additional help

OlgaM077 [116]3 years ago

5 0

Answer: No

Step-by-step explanation: 6, 6, and 12 can't be sides of a triangle since 2 sides have to add up to more than the other side and can't be equal or less than. If sides 6 + 12 = 18, 18 > 6, however if 6 + 6 are added then 12=12 and will make it not a triangle.

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If one of the non-right angles in a right triangle is equivalent to an angle in another right triangle, what can you say about t

Vitek1552 [10]

The triangles are similar, they aren't congruent (identical) though as we don't know if they share a common side

7 0

3 years ago

Read 2 more answers

Hi there! Sorry to bother you, but can someone help me out with this?

Rudik [331]

Problem 6

<h3>Answer: A) Conjecture</h3>

Explanation:

We can rule out choices B through D because they are valid items to use in any proof. A definition is a statement (or set of statements) set up in a logical fashion that is very clear and unambiguous. This means there cannot be any contradiction to the definition. An example of a definition is a line is defined by 2 points (aka a line goes through 2 points).

A postulate is a term that refers to a basic concept that doesn't need much proof to see why it's true. An example would be the segment addition postulate which says we can break up a segment into smaller pieces only to glue those pieces back together and get the original segment back.

A theorem is more rigorous involving items B and C to make a chain of statements leading from a hypothesis to a conclusion. You usually would see theorems in the form "if this, then that". Where "this" and "that" are logical statements of some kind. One theorem example is the SSS congruence theorem that says "if two triangles have three pairs of congruent corresponding sides, then the triangles are congruent". Chaining previously proven/established theorems is often done to form new theorems. So math builds on itself.

A conjecture is basically a guess. You cannot just blindly guess and have it be valid in a proof. You can have a hypothesis and have it lead to a conclusion (whether true or false) but simply blindly guessing isn't going to cut it. So that's why conjectures aren't a good idea in a proof.

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Problem 7

<h3>Answer: Choice A) A theorem does not require proof</h3>

Explanation:

As mentioned in the section above (paragraph 3), a theorem does require proof. It's like having a friend come up to you and make a claim, only to not back it up at all. Do you trust your friend? What if they might be lying? Now consider that instead of a friend, but now it's some random stranger you just met.

Of course, they may not realize they are lying but it's always a good idea to verify any claim no matter how trivial. Math tries to be as impartial as possible to have every theorem require proof. Some proofs are a few lines long (we consider these trivial) while others take up many pages, if not an entire book, depending on the complexity of the theorem.

So that's why we can rule out choice B since it's a true statement. Choices C and D sort of repeat the ideas mentioned, just phrased in different ways. As mentioned earlier, a theorem is built from fundamental building blocks of various definitions and postulates and theorems. The term "axiom" is more or less the same as "postulate" (though with slight differences).

If you wanted to go for a statement that doesn't require proof, then you'd go for an axiom or postulate. Another example of such would be something like "if two straight lines intersect, then they intersect at exactly one point".

5 0

3 years ago

Decide whether the Experiment is a Binomial Experiment. If it is not, explain why:

devlian [24]

Answer:

Experiment 1 and 3 are clear binomial experiments.

Experiment 2 needs tweaking to be a binomial experiment.

Check Explanation.

Step-by-step explanation:

A binomial experiment is one in which

1) The probability of success doesn't change with every run or number of trials.

2) It usually consists of a fixed number of runs/trials with only two possible outcomes, a success or a failure.

3) The outcome of each trial/run of a binomial experiment is independent of one another.

Checking each of the experiments one at a time

- You observe the gender of the next 850 babies born at a local hospital. The random variable represents the number of boys.

For this experiment,

1) The probability of success doesn't change with every run or number of trials as it is a 50% chance that each child examined is a boy.

2) It consists of a fixed number of runs (850) with only two possible outcomes, success (if it's a boy) and failure (if it's a girl).

3) The probability of each trial being a boy is independent from all the other trials.

Hence, this experiment is a binomial experiment.

- You draw a marble 350 times from a bag with three colors of marbles. The random variable represents the color of marble that is drawn.

For this experiment,

1) If the marbles aren't being replaced after each draw, the probability of success, that is, picking a particular marble colour changes from trial to trial.

2) Although, it consist of a fixed number of runs/trials, there are more than two possible outcomes with 3 types of colours. Unless the experiment focuses on one colour and treats the other two colours as 'others', this condition too isn't satisfied.

3) Without replacement, the probability of success (picking a particular marble colour) in one trial isn't independent of the other trials.

This is not a binomial experiment as it doesn't satisfy all the required conditions to be one.

- Testing a cough suppressant using 820 people to determine if it is effective. The random variable represents the number of people who find the cough suppressant to be effective.

1) The probability of success doesn't change with every run or number of trials as it is the same chance that each person finds the cough suppressant to be effective.

2) It consists of a fixed number of runs (820) with only two possible outcomes, success (cough suppressant is effective) and failure (cough suppressant isn't effective).

3) The probability of each trial being a person that finds the cough suppressant to be effective, is independent from all the other trials.

Hence, this experiment is a binomial experiment.

Hope this Helps!!!

7 0

4 years ago

A family pays for 50 MB of internet connectivity for downloads. When measuring their internet speed, a family member observed a

harkovskaia [24]

Answer:

its 70% of the speed they expected

4 0

3 years ago

I can't figure out how to find the proper area of a prism, can anyone help?

andrey2020 [161]

Answer:

Search Results

Featured snippet from the web

A right prism is made up of two identical, parallel bases on the ends, and the faces are perpendicular to the bases. The formula for finding surface area is 2B + hP (where B is the area of one of the bases, h is the prism's height and P is the perimeter of the base)

Step-by-step explanation:

hope this helps

8 0

3 years ago