Is 8 15 and 16 is a Pythagorean triplet?

Answers

Answer 1

No, 8,15 and 16 is not a Pythagorean triplet.

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.

By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying  a²+b²=c²

One of the simplest Pythagorean triples is the set “3,4,5.”

Now, substitute the values in the above equation:

16²=8²+15²

256=64+225

256[tex]\neq[/tex]289

Therefore, (8,15,16) is not a Pythagorean triplet.

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Related Questions

please help me brailyist for correct answer

Answers

Answer:

photo is blurr bro

Step-by-step explanation:

i can't help with this photo

One fourth of the student weigh between 72-76

4x – 2y = –1 3 and –4x + 4y = –2 what does x and y equal?

Answers

Answer:

X = -7 and y = -7.5

Step-by-step explanation:

Use substitution. Let’s try to get x by itself in the second question since it seems easier.

-4x + 4y = -2

-4x = -2 -4y

x = 1/2 + y

Subsitute that into the other equation for y.

4x -2y = -13

4(1/2 + y) - 2y = -13

2 + 4y -2y = -13 # Use the distributive property

2y = -15 # put together like terms

y = -7.5

Then plug it into the x formula

x = .5 -7.5

x = -7

Answer:

The solution is (-7, -7 1/2)

Step-by-step explanation:

 4x – 2y = –13  

–4x + 4y = –2

-------------------------

          2y = -15, and so y = -7 1/2.

Now find x.  If y = -7 1/2, then, from the first equation, we get

4x - 2(-7 1/2) = -13, or

4x + 15 = -13, or

4x = -28, or x = -7

The solution is (-7, -7 1/2).

Write the quadratic equation whose roots are 5 and 6 and whose leading coefficient is 5
(Use the letter x to represent the variable.)

Answers

9514 1404 393

Answer:

  5x^2 -55x +150 = 0

Step-by-step explanation:

A root of p means (x-p) is a factor. So, the factored form of the equation you want is ...

  5(x -5)(x -6) = 0

  5(x^2 -11x +30) = 0 . . . . . multiplying binomials

  5x^2 -55x +150 = 0 . . . . applying the leading coefficient

Please help. Will give brainliest.

Answers

Answer:

[tex]T = 3 + {S}^{2} [/tex]

Step-by-step explanation:

Fill in the table and you will see the formula above gives you the total. Substitute S=10 for you answer

How derive the formula?

You have to realize that you are give 3 to start with, so that's your starting constant. Filling in the table and subtracting 3 show help you see that the square of want is left after the subtraction is the square of the step.

Let me know is you need more clarification

Angle 3 and angle 4 are supplementary. Angle 3 equals 5x + 15 and angle 4 equals 10x. What does x equal

Answers

Answer:

X = 11

Step-by-step explanation:

since the angles are supplementary that means their sum is 180

[tex]5x + 15 + 10x = 180 \\ 15x + 15 = 180 \\ 15x = 180 - 15 \\ 15x = 165 \\ x = 165 \div 15 \\ x = 11[/tex]

Let the random variable h represent the height of a woman in the population. P(h<60) represents the probability of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model or the normal model. 1. Give an example of a probability h that can be found using the discrete model but not the normal model

Answers

The probability of h that can be found using the discrete model but not the normal model is 0.03.

A discrete probability distribution or DPD (also known as a discrete probability model) records all possible values of a discrete random variable and gives their probabilities.

The normal probability model involves when the distribution of the continuous outcome conforms reasonably well to a normal or Gaussian distribution, which resembles a bell-shaped curve.

H represents the height of women

Determine P ( H < 60 ) using either a discrete or normal model

using discrete model

P ( H < 60 ) = ∑ relative frequencies of the women with height < 60 inches

P ( H < 60 ) = 0.01 + 0.02 = 0.03

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Please help im not smart

Answers

Answer: The difference is 40.
There were 40 more away fans at semi finals than at the finals.

Step by step

Semi finals
We know that the fans will be divided into 10 equal portions ( 6 + 4 = 10)

As 10 is the total number of fans in our ratio, we need to divide 250 by 10 – which gives us 25.

Our ratio of home:away fans was 6:4, so we need to multiply both parts by 25 to get our answer:

6 x 25 = 150
4 x 25 = 100 away fans at semi finals

Now to do the same for the finals

We know that the fans will be divided into 10 equal portions ( 7 + 3 = 10)

As 10 is the total number of fans in our ratio, we need to divide 200 by 10 – which gives us 20.

Our ratio of home:away fans was 7:3, so we need to multiply both parts by 20 to get our answer:

7 x 20 = 140
3 x 20 = 60 away fans at finals

Now the original question is the “difference” between “away fans” (subtraction) at the semi finals and the finals.
Looking back at our answers, we had

100 away fans at semi finals
60 away fans at finals

The difference is subtraction

100 - 60 = 40 difference

The difference is 40. There were 40 more away fans at semi finals than at the finals.

heyy! i’ll give brainliest please help

Answers

Answer:

elected Council

Step-by-step explanation:

For a homework assignment, Trudy measured the volume of 7 drinking glasses in her family's kitchen. The volumes of the glasses were:
9 ounces 8 ounces 6 ounces 9 ounces 7 ounces 8 ounces 9 ounces
What was the mean volume?

Answers

Answer:

It would be 8

Step-by-step explanation:

For what value of k (- 2 is a zero of the polynomial 3x² 4x 2k?

Answers

The polynomial's zero is 2 since the value of k = -2 is  [tex]3x^{2}[/tex]  +4x+2k . A polynomial is an equation that combines variables, constants .

what is polynomial ?

Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).

given

−2 is a zero of f(x)=[tex]3x^{2}[/tex]+4x+2k

f(−2)=0

∴[tex]3(-2)^{2}[/tex] +4(−2)+2k=0

=>12−8+2k=0

=>2k=−4

=>k=−2

The polynomial's zero is 2 since the value of k = -2 is  [tex]3x^{2}[/tex]  +4x+2k .

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The orange shape is a dilation of the black shape. What is the scale factor of the dilation?
Simplify your answer and write it as a fraction or whole number.

Answers

First look at one of the point covered by the black shape, example of which being (2,2).

Next look at where the corrosponding point on the dilated figure is, so keeping with the sample, (10,10).

With this, knowing that both of the shapes are centered around the origin and that they are dilations of each other, do 10/2. to give you 5.

This would be the dilation needed to get the black shape to become the black shape.

Hope that helps.

will give brainiest if someone answers correctly

x=
Length=
Width=

Answers

According to question,

= 8x² + 6x - 2 = 228

= 8x² + 6x - 230 = 0

= 2(4x² + 3x - 115) = 0

= 2(4x² + 23x - 20x - 115) =0

= 2(x(4x +23) -5(x - 23) )= 0

= 2((x-5)(4x+23)) = 0

x = 5 , x = -23/4

let x = 5

so length 4x - 1

= 4 × 5 - 1

= 19 ft

width = 2x + 2

= 2 × 5 + 2

= 22 ft

_______

gosh! finally did it.. was too big -_-

please help guys
this question is from geometry
I really need your help ​

Answers

Answer:

[tex]\bold{\boxed{Check explaination for better understanding!}}[/tex]

z=65,y=65,x=50

Step-by-step explanation:

Firstly,  let's identify the only angle provided. The angle is an exterior angle.

The exterior angle theorm states that greater than either of the measures of the remote interior angles.

Let's remember that and start solving!

The exterior angle and x form a supplimentary line which means they create 180 degrees.

130+x=180

x=50

Now by the theorm the sum of z+y should be equal to the exterior angle which is 130.

Simply, z+y=130.

So z  is equal to 65, and y is equal to 65.

Let's check our answers now.

z=65,y=65,x=50

z+x+y=180

65+50+65=180! That works :)

Hope it helps! :))

Find the zeros of the quadratic function: y=x^2-4x-12

Answers

Answer:

[tex]x {}^{2} - 4x - 12 = 0 \\ (x - 6)(x + 2) = 0 \\ x = 6 \: \: x = - 2[/tex]

Joe draws a circle with center (-2, 0) and a radius of 4 units. If the scale factor is 5/2, what is the radius of a similar circle with the same center?

Answers

Answer:

The radius of a similar circle with center (-2, 0) has a length of 10 units.

Step-by-step explanation:

The radius of the new circle ([tex]R[/tex]) is the product of the former radius ([tex]r[/tex]) and the scale factor ([tex]k[/tex]), that is to say:

[tex]R = k\cdot r[/tex] (1)

If we know that [tex]k = \frac{5}{2}[/tex] and [tex]r = 4[/tex], then the radius of the new circle is:

[tex]R = k\cdot r[/tex]

[tex]R = \left(\frac{5}{2} \right)\cdot (4)[/tex]

[tex]R = 10[/tex]

The radius of a similar circle with center (-2, 0) has a length of 10 units.

Please help!!! I will mark brainliest

Answers

Answer:

P = 14.9

Step-by-step explanation:

i used distance formula:  

d = √(difference of y-values, squared, + difference of x-values, squared)

distance from (-2,1) and (2,4):  [tex]\sqrt{25}[/tex] = 5

distance from (-2,1) and (-1,-2):  [tex]\sqrt{10}[/tex]

distance from (-1,-2) and (2,4):  [tex]\sqrt{45}[/tex] = 3[tex]\sqrt{5}[/tex]

P = 5 + [tex]\sqrt{10}[/tex] + 3[tex]\sqrt{5}[/tex]  ≈  14.9

Please help quickly!
Use the figure below to answer questions 18-21

Answers

Answer:

Step-by-step explanation:

18. m∠1 = 104°

19. m∠2 = 79°

20. m∠3 = 65°

21. m∠5 = 73°

Gregory(g) is 20 years older than his cousin Mark(m). Mark is 6 years younger than his
sister Louanne(L). Write an expression to represent the sum of their ages.

Answers

Answer:

Step-by-step explanation:

Let's make Mark x as he is in both equations.

For Gregory in Marks view = x+20

For Marks's sister Louanne = x-6

Now you just add everything!

> x+x+20+x-6

> 3x+14

The sum of their ages is 3x+14

Hope that helped!

A) 12
B) 7
C) -11
D) 8
6x+4

Answers

Answer:

B it will have to be 7 to make this true

Step-by-step explanation:

at the age of 7, john is one of the tallest kids in his class. John is just a few inches shorter than his older brother Matthew, who, at the age of 12 is one of the shortest kids in his class

Answers

In the given case, Matthew would have a negative z score and John would have a positive z score.

A z-score is a measurement of how far an observation or data point is from the distribution's mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative. Therefore, it is possible that John's z-score would be positive, showing that he is taller than the average for his age group if he is one of the tallest children in his class at the age of 7.

In contrast, if 12-year-old Matthew is among the smallest students in his class, it is likely that his z-score will be negative, suggesting that he is shorter than the norm for his age group. Therefore, John would have a positive z-score but Matthew would have a negative one if he is shorter than average for his age group.

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A farmer fills a rectangular water trough to a depth of 1 foot.
The trough is 4 feet long and 2 feet wide. How much water
is in the trough?

Answers

Answer:

Step-by-step explanation:

Is 8ft

Answer:

It is 8ft

Step-by-step explanation:

easy work

Its pre-algebra. I need it fast

Answers

Answer:

Obtuse and isosceles

Step-by-step explanation:

obtuse because an angle is more than 90* and isosceles because two sides are equal.

Hope this helps!

If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?

Answers

The null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

What is the null hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Here,

We have to find out the slope of the line predicted by the null hypothesis if we are doing a linear regression.

We concluded that the null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

Hence, the null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.

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What unit is equal to Avogadro's number ?

Answers

Avogadro's number is a unitless object. It represents a number.

What is unit?

The mass of a particular piece of metal or the length of a particular rod are examples of quantities (specific properties) of objects that have historically been used to define measurement units. An object that has no units is known as unitless.

The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of  6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.

The value of Avogadro's number is 6.02214076 × 10²³.

One mole of the chemical compound consists of 6.02214076 × 10²³ atoms.

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The first sequence rule is add 4 starting from 15. The second sequence rule is add 3 starting from 18. What is the first number that appears in both sequences?

Answers

Answer: 27

Step-by-step explanation:

Given

In the first sequence, the first term is [tex]a_1=15[/tex]

Common difference is [tex]d_1=4[/tex]

In the second sequence, the first term is [tex]b_1=18[/tex]

Common difference is [tex]d_2=3[/tex]

The nth term of the sequence is [tex]a_n=a+(n-1)d[/tex]

for the same number to appear on both sequence, the nth term must be equal

[tex]\Rightarrow 15+(n-1)4=18+(n-1)3\\\Rightarrow 3=(n-1)\\\Rightarrow n=4[/tex]

Put n=4

[tex]\Rightarrow 15+(4-1)4\\\Rightarrow 15+12=27[/tex]

Therefore, 27 is the first common term in both sequences.

Harprr buys a flannel sheet online for 22.50.If shipping and handling are an additional 35% of the price,how much shipping and handling will haper pay

Answers

Answer: 7.88 currency units

Step-by-step explanation:

Shipping and handling are 35% of the price of the flannel sheet so in currency terms are:

= Price of flannel sheet * Additional percentage for shipping and handling

= 22.50 * 35%

= 7.875

= 7.88 currency units

Answer:

787.5

Step-by-step explanation:

22.50×35

=787.5mine is correct, do not believe any expert verified answer,I calculated it now and mine is correct

The baseball team has a double-header on Saturday. The probability that they will win both games is 42%. The probability that they will win just the first game is 60%, What is the probability that the team will win the 2nd game given that they have already won the first game?​

Answers

This problem fits the conditional probability formula very well. The formula is P(B|A) = P(B ∩ A)/P(A). If event A is winning the first game, and event B is winning the second, then P(B ∩ A) = 0.44, and P(A) = 0.6. So P(B|A) is obtained by dividing 0.44 by 0.6, which is about 0.733.

Answer:

24%

Step-by-step explanation:

assign a variable x:

Find the average and solve for x by isolating the variable:

(x+60%)÷2=42%

multiply on both sides, left side cancels, multiply right side

(x+60%)÷2 *2= 42%*2

x+60% = 84%

subtract on both sides, left side cancels, subtract right side

x+60% - 60%=84% - 60%

x=24%

in a deck of 52 cards, how many different groups five cards can you be dealt

Answers

Question: in a deck of 52 cards, how many different groups five cards can you be dealt.

Answer: the number of ways of choosing an unordered set of 5 cards from a 52-card deck. Your 52! 47! is the number of ways to deal 5 cards: it counts each of the 5! =120 possible dealing orders of a given hand separately.

have a good day

How much faster is parallel computing?

Answers

The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed.

What is parallel computing?

The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed. Parallel computing is a sort of computation in which several computations or processes are performed at the same time. Large issues are frequently broken into smaller ones, which may then be tackled concurrently.

Here,

Parallelization can only speed up a program so much. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be ten times regardless of the number of processors employed.

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solve for x : 4x-6=x+9

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: 4x - 6 = x + 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4x - x = 9 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x = 15[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 15 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 5[/tex]

Answer:

Step-by-step explanation:

4x-6=x+9

4x-x=9+6

3x=15

Final answer: x = 5

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