Which of the following is a Pythagorean triple?

A. (5, 12, 13)
B. (1, 1, 2)
C. (3, 4, 6)
D. (5, 8, 10)

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Perhaps you know of the {3, 4 ,5} Pythagorean triple.

Pythagoras stated a² + b² = c²

so checking for A:

a² + b² = c²

5² + 12²

25 + 144 = 169 which is 13²

Only answer A. (5, 12, 13) is a Pythagorean triple.

The others are not.

Answer 2

The correct answer for Pythagorean triple are (5,12,13). The correct option is A.

A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem can be written as:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Check each option:

A. (5, 12, 13)

=[tex]5^{2} +12^{2} \\[/tex]

= [tex]25 + 144[/tex]

= 169

[tex]= 13^{2} \\= 169[/tex]

Since both sides are equal (169 = 169), this is a Pythagorean triple.

B. (1, 1, 2)

[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]

[tex]= 2^{2} \\= 4[/tex]

The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.

C. (3, 4, 6)

[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]

[tex]=6^{2}[/tex]

[tex]= 36[/tex]

The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.

D. (5, 8, 10)

[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]

[tex]= 10^{2} \\= 100[/tex]

The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.

The correct answer is (5,12,13). The correct option is A.

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Related Questions

Hey anybody help out this difficult in my opinion

Answers

Answer:

Just describe what you see.

Step-by-step explanation:

- For the first one you are dividing 4/3 by 4/3, so you would write something like Karen is dividing  4/3 by 4/3.

- For the second description say something like Karen multiplied and simplified   3/4 x 4/3 and when you do that you get 1.

(what you teacher is making you do is seriously complicated for no reason)

1. Shannon is conducting an experiment where she flips a coin and then rolls a six sided die. How many total possible outcomes are there in this experiment?

1. 8
2. 12
3. 14

2. How many possible outcomes are there when Shannon flips a head and rolls an even number?

1. 3
2. 4
3. 6

3. What is the theoretical probability that Shannon flips a tail and rolls a two?

1. 2/12
2. 1/12
3. 3/12

Answers

Answer:

1. - (C) 14

2. - (B) 4

3 - (A) 2/12

Plzz answer ASAP. Just the graph ignore the question below

Answers

Answer:

Domain: -8 <= x <= 2 and 1 < x < 4

Range: -3 and -2 <= y <= 8

63 people are going to the zoo. There are 3 cars to take people to the zoo. How
many will go in each car if the same number go in each car?

Answers

Answer:

21

3x21= 63 have a great day

Step-by-step explanation:

BRAINLIEST PLEASE

Can you help me with this?
|a^2| if a<0

Answers

Answer:

|(-a)²| = | a² | = a²

Step-by-step explanation:

absolute value is always positive number as well as any number squared so sign is positive no matter what

Help mee pweaseeeeeee :)))

Answers

Answer: .4

Step-by-step explanation:

.


Given:
AB || DE
C is the midpoint of BD
Prove:
C is the midpoint of AE​

Answers

Answer:

Step-by-step explanation:

Given: AB║DE and C is the midpoint of BD.

To prove: C is the midpoint of A

                   Statements                       Reasons

1). AB║DE                                   1). Given

2). BC ≅ CD                               2). Point C is the midpoint of BD

3). m∠B ≅ m∠D                         3). Interior alternate angles

4). m∠ACB ≅ m∠DCE               4). Vertical angles

5). ΔABC ≅ ΔDEC                     5). ASA property of congruence

6). AC ≅ EC                               6). ΔABC ≅ ΔDEC

7). AC = [tex]\frac{1}{2}(\text{AE})[/tex]                            7). AC ≅ EC

What is the 10th of a quarter of 1600

Answers

Answer:

40

Step-by-step explanation:

A quarter of 1600: 400

A tenth of 400:40

The value of 10th of a quarter of 1600 is 40.

What is a quarter of a number?

A quarter of the number is 1/4 times of the number i.e. times of the number.

Quarter of x= (1/4)*x= 0.25 * x

Given in the question that we have to calculate 10th of a quarter of 1600.

Before that we have  to first calculate a quarter of 1600 which is calculated by using the above formula

quarter of 1600= (1/4)*1600= 0.25* 1600= 400

Now we have to calculate 10th of a quarter of 1600 i.e. 10th of 400.

10th of 400= (1/10) * 400= 40

Therefore the value of 10th of a quarter of 1600 is 40.

Learn more about the quarter

here: https://brainly.com/question/382406

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please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

12.167(option D)

Solution,

[tex]side \: length(s) = 2.3 \\ volume = {s}^{3} \\ \: \: \: \: \: \: \: \: \: \: = {(2.3)}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2.3 \times 2.3 \times 2.3 \\ \: \: \: \: \: \: \: \: = 12.167 \: {cm}^{3} \\ [/tex]

hope it helps...

Good luck on your assignment....

Answer:C.8.027

Step-by-step

V = s[tex]^{3}[/tex]

The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.

[tex]\frac{dV}{ds}[/tex](s[tex]^{3}[/tex]) =3s[tex]^{2}[/tex]

We now plug in  s =6

3s[tex]^{2}[/tex] = 3(6)[tex]^{2}[/tex] = 8.027[tex]\frac{cm3}{s}[/tex]

Find the value of n.
n = -1.-7

Answers

Answer:

n = 7

Step-by-step explanation:

n = (-1) x (-7)

Simplify:

When two minus signs appear in the product of two numbers, you can cancel them out.

Therefore:

n = (1) x (7) = 7

Hope this helps!

:)

this is khan academy and i need it fast thx

Answers

Answer:

C

Step-by-step explanation:

The angles are supplementary because all the angles add up to 180 and they form a straight line together.

BRAINLIEST FOR THE FIRST ANSWER!!! its easy but im lazy tehe Evaluate the following expression for s = 6 and t = - 8. s(6 - t) + 7(s + 1)

Answers

Answer:

133

Step-by-step explanation:

We are given the expression:

s(6-t)+7(s+1)

We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.

6(6--8) +7(6+1)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve inside the parentheses. Subtract 6 and -8.

6(14)+7(6+1)

Solve the other set of parentheses. Add 6 and 1.

6(14)+7(7)

Multiply 6 and 14.

84+7(7)

Multiply 7 and 7

84+49

Add 84and 49

133

Answer:

133

Step-by-step explanation:

s(6 - t) + 7(s + 1)

Plug in numbers:

6(6 - (-8)) + 7(6+ 1)

using Bedmas, solve:

Brackets first: 6(14) + 7(7)

Solve multiplication: 84 + 49

Add together: 133

Sharon drops a rubber ball from a height of 48 feet. Every bounce sends the
ball half as high as it was before.

What is the total vertical (up and down) distance the ball has traveled, from
the moment it is dropped to the moment it hits the floor for the fourth time?

(Do not include units in your answer.)

Answers

Answer:

132

Step-by-step explanation:

48 first hit and rises 24

24 second and rises 12

12 third hit and rises 6

6 forth hit

48+24+24+12+12+6+6= 132

After the 4th hit the total distance up and down covered by the ball will be 90 feet.

Why the ball is bouncing back less and less distance upward after every drop ?

Some of the kinetic energy of the ball has been transferred by the ball to the ground after each drop also when it is in the process of going upwards force of gravity is working on the opposite direction which is downwards.

There are other factors too ask your physics teacher if you are more curious.

According to the given question

First time it has been dropped from a height of 48 feet as at every bounce it bounces back half of it's value it will go up to 24 feet repeating this process of bouncing back for the fourth time

It will be (48 + 24 + 12 + 6) = 90 feet

Learn more about Kinetic energy here :

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Answer the question below

Answers

Answer:There are 96 apples in the 12th bag.

Step-by-step explanation:

Firstly, you add the number of apples in the 11 bags.

6+28+16+27+10=87

If the mean number of apples in the 12 bags were 8, the total number of apples are 96.  

Using this info, we subtract 87 from 96 to 9.

Hence, there are 9 apples in the 12th bag.

How does the value represented by the digit 4 in R compare to the value represented by the digit 4 in T?

R = 4,569
T = 3,490

Answers

Answer:

The digit 4 in R has a value of 4,000; the digit 4 in T has a value of 400.

Step-by-step explanation:

In R, there are 4 place values. Going from right to left, we have ones, tens, hundreds and thousands. The 4 is in the thousands place, so its value is 4,000. In T, there are also 4 place values, but the 4 is in the hundreds place, so its value is 400.

The LA Taxi Co. fare in Los Angeles is $3.20 for the first 12mile. Additional mileage is charged at the rate of $0.25 for each 0.1 mile. You plan to give the driver a $2.00 tip. It is 6.5 miles to your grandmother’s house. How much will your total fare be, including tip?

Answers

Answer:

Your total fare including tip is $20.2

Step-by-step explanation:

Cost for first 0.5 mile = $ 3.20

Now we are given that Additional mileage is charged at the rate of $0.25 for each 0.1 mile.

It is 6.5 miles to your grandmother’s house.

So, remaining distance = 6.5-0.5=6 miles

Cost for 0.1 mile = $0.25

Cost for 1 mile =[tex]\frac{0.25}{0.1}[/tex]

Cost for 6 mile = [tex]\frac{0.25}{0.1} \times 6=15[/tex]

You plan to give the driver a $2.00 tip.

So, Total cost = $2+$3.2+$15=$20.2

Hence your total fare including tip is $20.2

Which set a rational numbers are ordered from least to greatest?

Wrong answers will be reported!!!!

Answers

Answer:

The answer to this is A

Step-by-step explanation:

hope it helped

Answer:

A

Step-by-step explanation:

tell me if im right

Subtract the polynomials. (3x2+10x+5y)−(−5x2+2x−6y)

Answers

Answer:

[tex]=8x^2+8x+11y[/tex]

Step-by-step explanation:

[tex]\left(3x^2+10x+5y\right)-\left(-5x^2+2x-6y\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x^2+10x+5y-\left(-5x^2+2x-6y\right)\\=3x^2+10x+5y+5x^2-2x+6y\\=3x^2+5x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:3x^2+5x^2=8x^2\\=8x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:10x-2x=8x\\=8x^2+8x+5y+6y\\\mathrm{Add\:similar\:elements:}\:5y+6y=11y\\=8x^2+8x+11y\\[/tex]

Please help I really need this answer since I am preparing for my nationals

Will give branliest if it is correct.​

Answers

Answer:   [tex]\bold{a)\ \overline{CD}=6\qquad b)\ \overline{AD}=\dfrac{32}{3}\qquad c)\ \overline{AC}=\dfrac{50}{3}\qquad d)\ \overline{OB}=\dfrac{25}{3}}[/tex]

Step-by-step explanation:

a) First, use the Pythagorean Theorem to find CD:

8² + (CD)² = 10²     →     CD = 6

d) Next, find OB.  Notice that both OB and OC are the radius of the circle.

Using the Segment Addition postulate, we know the radius (r) = CD + DO  →  DO = r - 6

Use the Pythagorean Theorem for ΔOBD to find OB:

(DO)² + (BD)² = (OB)²

(r - 6)² + 8² = r²

r² - 12r + 36 + 64 = r²

   -12r + 100        = 0

             100        = 12r

              [tex]\dfrac{25}{3}\quad = r[/tex]              

c) Now, find AC. Notice that AC is the diameter.

Diameter = 2r

               = 2(OB)

               [tex]=2\bigg(\dfrac{25}{3}\bigg)\qquad =\dfrac{50}{3}[/tex]  

b) Lastly, find AD. Using the Segment Addition Postulate, we know that

AD + CD = AC   →   AD = AC - CD

                                      [tex]= \dfrac{50}{3}-6\qquad \rightarrow \quad \dfrac{50}{3}-\dfrac{18}{3}\qquad =\dfrac{32}{3}[/tex]

Question 10 Multiple Choice Worth 1 points)
(01.03 LC)
Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid
will recele.

Answers

Answer:

105= 7x or 7x=105 x=15

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Deandre bought 4 CDs that were each the same price. Including sales tax, he paid a total of $69.20. Of that total,was $3.60 tax. What was the price of each CD before tax?

Answers

$16.40 each cd before tax. I subtracted $3.60 from the total because that is the total worth tax. Then I divided by 4 and got each cd price before tax was added.

A jar of quarters and dimes contains $20.00. There are 110 coins in all. How many of each are there?

Answers

Answer:

There are 50 dimes and 110-50 = 60 quarters in the collection.

Step-by-step explanation:

Let D be the number of dimes.

Then the number of quarters is (110-D).

The "value equation" is

10D + 25*(110-D) = 2000.

Simplify and solve for D:

10D + 2750 - 25D = 2000,

-15D = 2000 - 2750,

-15D = -750,

D = %28-750%29%2F%28-15%29 = 50.

What is the equation of the line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2)?
O A. --***
O
B. y = 3x - 14
C. y = 3x + 14
O D. y = 3x + 2

Answers

Answer:

B. y= 3x -14

Step-by-step explanation:

To find the equation of a line that is parallel  to the line y = 3x - 4 and passe

through the point (4,-2), we will follow the steps below;

Equation of a line is y=mx + c

where m is the slope and c is the intercept

To find the slope of the new equation, we will compare y =mx + c and y=3x - 4

The slope of the equation y = 3x-4 is 3

line that are parallel have the same slope, so the slope of the new equation is also m = 3

To find the intercept, we will substitute x=4,  y = -2 and m =4 into the formula y =mx + c then solve for c

That is;

y = mx + c

-2 = 3(4) + c

-2 = 12 + c

subtract 12 from both-side of the equation

-2-12 = 12-12 + c

-14 = c

c= -14

we can now substitute m and c into the formula to form the new equation

y = mx + c

y = 3x -14

for the fun of it
1 * 100000000 * 967 *0 +1

Answers

Answer:

1.

Step-by-step explanation:

By the order of operations, multiplication goes before addition. We got left to right.

As the entire resultant expression of the first two operators is multiplied by 0, we are left with 0 + 1.

0 + 1 = 1.

I hope this helps!

I need help on #5 on my summer packet my teacher never taught me this and I need help.

Answers

Answer:

c

Step-by-step explanation:

it can only be 0-9 that is in standard form- one digit then a decimal point

can u pls mark as brainliest?

Answer:

c

Step-by-step explanation:

hope that helps

Can someone help me out on this question?

Answers

Answer:

They are similar, so 6/5 = 10/x.

You can do the rest yourself!

Select the polynomial that is a perfect square trinomial. 9x2 + 9x + 1 36b2 − 24b + 8 16x2 + 24x + 9 4a2 − 10a + 25

Answers

Answer:

16x² + 24x + 9

Step-by-step explanation:

16x² + 24x + 9 =(4x)²+2*4x*3 + 3² = (4x +3)²

What is the solution

Answers

Answer:

15

Step-by-step explanation:

f(x)=5x

g(x)=3x+3

(fog)(x)=f[g(x)]=f(3x+3)=5(3x+3)=15x+15

(fog)(0)=15(0)+15=15

Answer:

15

Step-by-step explanation:

First find g(0) =

g(0) = 3*0 +3

g(0) =3

Then put this into f(x)

f(g(0) ) = f(3) = 5*3 = 15

What is the directrix of a parabola with equation x^2 = 4y

Answers

Answer:

y = -1

Step-by-step explanation:

Drag each tile to the correct box. Match the expression to the exponent property that you use first to simplify the expression.

Answers

sorry i did the best i could

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