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Burka [1]
4 years ago
8

Given three positive integers a, b and c such that a² + b² - c² = 1. Let the number of triangles formed with sides a, b and c wi

th perimeter less than 50 million represent the surface area of an ellipsoid of axes lengths n, 2n and 3n. The password is the square of the ceiled positive solution of n.
Mathematics
1 answer:
Akimi4 [234]4 years ago
8 0

Answer:

Step-by-step explanation:

Count pairs (a, b) whose sum of squares is N (a^2 + b^2 = N)

Given a number N, the task is to count all ‘a’ and ‘b’ that satisfy the condition a^2 + b^2 = N.

Note:- (a, b) and (b, a) are to be considered as two different pairs and (a, a) is also valid and to be considered only one time.

Examples:

Input: N = 10

Output: 2

1^2 + 3^2 = 9

3^2 + 1^2 = 9

Input: N = 8

Output: 1

2^2 + 2^2 = 8

You might be interested in
Shannon won $200 dollars playing Bingo last week. This week she won
myrzilka [38]

Answer: 125% increase

Step-by-step explanation: She won 200 dollars last week and now she won 450. If more, less divides. So 450 is more than 200.

This would give you 450/200. You're trying to find percentage so you multiply by a hundred. 450/200 * 100. This will give you 125%

8 0
3 years ago
How do you find the area of circle and what is the formula you use to solve?
Charra [1.4K]

If you know either the diameter of the circle or its radius,
then you're as good as done with the problem.

The formula for the area of a circle is

                                   Area  =  (pi) x (radius²) .

The radius is 1/2 of the diameter.

 π  (the Greek letter for 'pi') is a slight problem.  It's an "irrational"
number, and that means you can never write down its exact value. 
As a decimal, it keeps going on and on forever, and as a fraction,
it can't be written at all.

So what are we supposed to do ?  How can we ever write down the
exact value for the area of a circle ?

Using digits, we can't !  The only way to write the exact area
of a circle is to leave the letter π in the answer.

For example, if the radius of the circle is  5 ,
then the area is 
                            Area = π R²  =  25 π .

If you can only use digits to write the area, then you can never
write the exact number.  Anything you write will always be
slightly wrong.  BUT ... you can get very very close. 
Technically, even though you can never be exactly correct,
you can get AS CLOSE as you want to.  In books and online,
you can find  π  printed out with 1,000 decimal places, and the
more of them you use to calculate the area, the more accurate
your answer will be.

Here are the first 15 decimal places of  π  .
(These are the only ones I've memorized.)

                        3. 14159 26535 89793

At the end of 2009, a team got together and ran their computers for
131 days, and calculated  π  with 2,700,000,000,000 decimal places !
(It still doesn't end.)

So how many decimal places should you use ?
How close does the answer need to be for school ?

To answer that, I'm going to have to reveal the Big Secret
of school to you.  Here it is.  Please don't spread it around:

             In school math, the answer doesn't matter !
            The answer is not important, and nobody needs it.
            Your teacher doesn't need the answer.  If s/he did,
            s/he could easily figure it out, and if s/he didn't know
            how and had to ask somebody else, s/he certainly
            wouldn't ask her students, because they're just now
            learning how to do it.
            What's important is knowing HOW TO FIND the answer.
            The only reason they want to see your answers in
            school math is:  That's the fastest, easiest way to tell
            whether you know HOW TO FIND the answer.
            If you can invent a faster, easier way to tell whether
            you know HOW TO FIND the answers, then nobody
            will ever need to turn in the homework answers again.     

I told you that, to tell you this:  Your answer for the area doesn't need
to be very close at all.  It only needs to be close enough to show that
you knew how to figure it out.

Most of the time in school math, the question will tell you
what number to use for  π  .  Very often, it's  3.14 .

You would think that for a number that has trillions and trillions
of digits and goes on forever, that using only 2 decimal places
would not get you very close to the real answer. 
You would be wrong.

-- If you use  3.14  for  π , then the answer you get is too small,
but only by about  0.05 %  .

-- If you use  3.142  for  π , then the answer you get is too big,
but only by about  0.01 %  .

-- If you don't like decimals at all, and want a fraction for  π ,
then use  22/7 .  Then the answer you get is too big again,
but only by about  0.04 % .

Any of these is way closer than you need to be for school math.
They're even closer than you usually need to be in real Engineering.
(Trust me.  I know.)
______________________________________

Just one more thing:

About 36 days from today will be the day celebrated by
math people all over the world.

It's called  "Pi Day" .  It's on March 14th.            ( 3-14 )    :-)
 
5 0
3 years ago
Read 2 more answers
Is 9/10ths bigger or smaller than 5/6th
ollegr [7]

Answer:

9/10 > 5/6

Step-by-step explanation:

9/10 and 5/6

get them common deminators.

60

54/60 vs. 50/60


54 > 50

4 0
4 years ago
Help and i will give brainiest if you answer them all if random will report.
svet-max [94.6K]

Answer:

○ 1. B

○ 2. 146.25

Add the numbers

○3. (-6w) - 8 + 1 (-7w)

(-6w) -7 + (-7w)

Rearrange

(-6w) + -7 + (-7w)

(-6w) + (-7w) - 7

Solution

(-6w) + (-7w) - 7

○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1

Step-by-step explanation:

Hope it help

Mark me as brainliest

5 0
3 years ago
Read 2 more answers
Select all that applies
Volgvan

Answer:

A

C

D

F

G

Step-by-step explanation:

You can pretty easily find the answer by just going through each statement and analyzing what it means.  For A it asks if AB is parallel to DC (parallel means the lines could go on for infinity without ever touching) Looking at the shape we can see that AB and DC are on opposite sides and are slanted in the same direction meaning that they are in fact parallel.  This could be correct.  The next asks about angle BCD and whether or not it is congruent to CDA (congruent is just another word for the same) Angle BCD is the top right angle and we know this by following the letters on the shape in the order they were asked in the question.  We can see that these two angles are not congruent just via observation as BCD is an acute angle (less than 90 degrees with a right angle as a reference) and CDA is an obtuse angle (greater than 90 degrees)  This answer choice is incorrect.  Next up we have BPC and APD and it asks whether or not they are congruent.  We can apply the same logic to the previous choice and find out that they are in fact congruent angles which is also backed up by the rule of vertical angles which states that all vertical angles are congruent.  This means C is also a correct option.  Next up is line BC compared with AD which are very obviously congruent just by looking at the image, but we also know that opposite sides of a parallelogram are always congruent.  This answer choice is correct also.  Next up it asks us about AC in comparison to BD which are NOT congruent because each line has a different length due to the fact of the angles they are coming from.  AP is in fact congruent to PC because it is just a continual of the original line which stems from halfway across the middle of the parallelogram.  This IS a correct choice.  Next up it asks about supplementary angles and it is important to understand what that is before you can accurately answer the question.  Supplementary angles are angles which will total 180 degrees and the question specifically asks in relation to angles BAD and ADC.  These angles are in fact supplementary because they are across from each other at the base of the parallelogram and we know from theories that these angles will always be supplementary in these shapes.  G is also a correct answer.  Last but not least we have a question asking us about APB and APD and whether or not they are vertical angles.  Vertical angles are angles which are across from each other either vertically as the name sake says or horizontally, but they have to be directly across from each other.  Looking at the image we can clearly see that these angles are NOT across from each other but instead are adjacent to each other (next to each other) meaning the last option is not correct.  This leaves A,C,D,F, and G as the correct answers.

7 0
3 years ago
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