check if given set of numbers 6,8,10 forms pythagorean triplet or not?​

Answers

Answer 1

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

We know that,

Pythagoras theoram is given by : p² + b² = h²

In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.

Then,

We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.

Sum of squares of smaller sides:

= 6² + 8²

= 36 + 64

= 100

Square of longer side:

= 10²

= 100

Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.

And we are done! :D

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]


Related Questions

To raise money for the music program, your choir sells programs for $.50 and CDs of its music for $5. It costs $.15 to produce each program and $1.75 for each CD. Everything sells for $400 yielding a profit of $265. How many CDs were made?

Answers

Answer:

60 CDs

Step-by-step explanation:

Given that :

Price of program = $0.5

Price of music = $5

Cost of production :

Program = $0.15 per program

CD = $1.75 per CD

Revenue made= $400

Profit made = $265

Number of CD produced =?

Let Number of CD's = x and program = y

$(0.5y + 5x) = 400

Y = (400 - 5x) / 0.5

y = 800 - 10x

Production :

$(1.75x + 0.15y)

Total cost of production - Revenue made = profit

(1.75x + 0.15y) - (5x + 0.5y) = 265

1.75x + 0.15y - 5x - 0.5y = 265

1.75x - 5x 0.15y - 0.15y = 265

3.25x + 0.35y = 265 - - - (2)

Put y = 800 - 10x in (2)

3.25x + 0.35y = 265

3.25x + 0.35(800 - 10x) = 265

3.25x + 280 - 3.5x = 265

-0.25x = - 15

x = 15/ 0.25

x = 60

On a coordinate plane, which axis is the horizontal axis, and which is the vertical axis? Is there a way to graph points that are not whole numbers? How do you think you can do that? Describe some real-world situations that remind you of the coordinate plane.

Answers

Answer:

Horizontal axis is X

Vertical Axis is Y

You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be

Battleship maybe? Or like the longitude and latitude on a map?

A map is a real-world example of a coordinate plane.

What is a coordinate plane?

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

A map is a real-world example of a coordinate plane.

Learn more about the coordinate planes:

https://brainly.com/question/24134413

#SPJ3

Question 6 (5 points)
(03.02 MC)
What is the length of the third side of the window frame below? (5 points)
(Figure is not drawn to scale.)


30 inches
36 inches
50 inches
75 inches

Answers

Answer:

30 inches

Step-by-step explanation:

using a^2+b^2=c^2

72^2=5184

30^2=900

5184+900=6084

√6084=78

Answer:

30

Step-by-step explanation:

At the zoo, for every 666 adult camels, there are 555 baby camels. There are a total of 444444 adult and baby camels at the zoo. How many baby camels are at the zoo? baby camels

Answers

Answer:

20

Step-by-step explanation:

Three years ago , Ahmed was one third of his sister's age. In a years time ,Ahmed's age doubled will match his sisters age. How old is Ahmed now.


Help the due is tomorrow

Answers

let the age of ahmed three years ago be x years old. since 3 years ago ahmed as one third of his sister's age, his sister would be 3x years old 3 years ago.

in a year's time, ahmed would be x+4 years old and his sister would be 3x+4. we also know that in a year's time ahmed's age doubled will match his sister's age. hence 2(x+4)=3x+4
2x+8=3x+4
4=x
x is the age of ahmed three years ago. hence, now ahmed is 7 years old.

The highest point in California is Mount Whitney at 14,494 feet above sea level. The lowest point in California is in Death Valley at 282 feet below sea level. What is the difference in elevations?

Answers

14,776 is the answer

After restocking the vending machine, Sonya determined that 2 packs of mints were sold for every 6 packs of gum. If a total of 160 packs of candy were sold, how many were packs of gum?

Answers

Answer:

80

Step-by-step explanation:

160÷2=80 yay!!!!!!!!!!!

Answer:

(By mints I hoped you meant candy) 480 packs of gum

Step-by-step explanation:

2 packs of candy for every 6 packs of gum. Divided beach side by two to get ration of 1:3. This means that for every 1 pack of candy 3 packs of gum are sold. 160 x 3 = 480.

If -3c/4=24, what is the value of c/2?

Answers

Answer: look it up lol

Step-by-step explanation:

+ 19=20+24
A 11
B 13
C 15
D 25

Answers

Answer:

its D 25

i just know stuff

Help!

Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles. What is the area of the surface of crater lake?

Answers

Answer: 23.74625 miles

HELP ME PLS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1) Yes because the slope, 10x, is constant

2) Yes for every 1 hour of baby sitting $10 dollars is earned.

Consider Brainliest!

What is 3.4 x10written in standard notation?

Answers

Answer:

34

Step-by-step explanation:

Standard notation is the common answer for a problem. Instead of an expanded problem or a scientific notation, you would simply solve the problem without answering with another problem.

3.4 x 10

Move the decimal 1 place to the right.

34.00 x 1 = 34

find the length of an arc of 40° in a circle with an 8 inch radius​

Answers

Answer:

8π/9                                plz give brainlies.

Step-by-step explanation: luv u (:

Need help help help help

Answers

Answer:18 6/7

Step-by-step explanation:

Answer:

the answer is

=18 6/7

Step-by-step explanation:

PLEASE HELP! I'M STUCK!

Answers

I hope this attachment helps!!

What is the solution of 6d + 6 - 4d = 12 ?

Answers

D=3 is the answer for this equation
d=3

if u were to check
6(3)+6-4(3)=12
18+6-12=12
24-12=12
12=12

QUICK HELP ITS DUE IN 10 EEEEEEEEEEE

Answers

Answer:

the answer is b

Step-by-step explanation:

pls give me brainliest plsss i gave you answer

plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?

What is the y-intercept of the trend line?

Y=___X +___

Answers

Answer:

slope = 3/2

y intercept = 2

y = 3/2x + 2

Step-by-step explanation:

to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)

(11-5) ÷ (6-2) =

6 ÷ 4 = 3/2

slope = 3/2

to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y

for the example im going to use the point (2,5)

5 = 3/2 (2) + b

5 = 3 + b

subtract three from both sides to find b (y-intercept)

b = 2

Graph f(x) = 3x and g(x) = 3x - 5.
Which describes the transformation from
the graph of f(x) to the graph of g(x)?

Answers

Answer:A translation down 5 units

Step-by-step explanation:

ILL MARK U BRAINLIEST!!!

Answers

Answer:

20

Step-by-step explanation:

first take out the cost of the cup 31.75-6.75=25

then divide by the cost of the refills 25/1.25=20

hope this helps :)

How do I solve this equation and check all the solutions?

Answers

Answer:

x = 12

Step-by-step explanation:

[tex]\sqrt{3x}[/tex] + 10 = x + 4

[tex]\sqrt{3x}[/tex] = x - 6

( [tex]\sqrt{3x}[/tex] )² = ( x - 6 )²

3x = x² - 12x + 36

x² - 15x + 36 = 0

(x - 3)(x - 12) = 0

[tex]x_{1}[/tex] = 3

[tex]x_{2}[/tex] = 12

Check the answer:

[tex]\sqrt{3*3}[/tex] + 10 ≠ 3 + 4

13 ≠ 7 ⇒ 3 is not the root of original equation (strange root)

[tex]\sqrt{3*12}[/tex] + 10 = 12 + 4

16 = 16 ⇒ 12 is the root of original equation

Look at the multiples of four that have an even number in the tens place. What value do they have in the one's place do you think this pattern? Would continue with multiples of four that larger than 100?

Answers

The multiples of 4 in the tens place are:

12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, . . .

The ones with even number in the tens place are:

20, 24, 28, 40, 44, 48, 60, 64, 68, 80, 84, 88, ...

In the ones value we see the pattern 0, 4, 8

Repeating itself.

And if you should continue for multiples of 4 greater than 100, this pattern will still continue.

How do I solve this equation and check all the solutions?

Answers

Answer:

10

Step-by-step explanation:

x-√2x-5=5

-√2x-5=5-x

√2x-5=-5+x

2x-5=x²-10x+25

2x-5-x²+10x-25=0

12x-20-x²=0

-x²+12x-20=0

x²-12x+20=0

x=10

Note: there is a another answer x=2 but the equality will be false if x=2 so the answer is 10

The answer I got was: x = 0,2

Hope this helps! ;)

6 There are 10 lanes in the bowling alley where Harold bowls. He wants to make a

scale drawing of the bowling alley using a scale of 3 cm to 15 ft. One lane,

including gutters, is 60 ft long and 5 ft wide. What will the width of all 10 lanes on

his drawing be?

Answers

Answer:

The width of 10 lanes would be a total of  10 centimeters , 1 cm for each lane on his drawing.

Step-by-step explanation:

The scale he uses is

15 ft= 3 cm

1 feet = 3/15 cm

1 cm= 15ft/3= 5 ft

One lane = 60 ft long and 5 ft wide

In centimeters it would be 60 ft / 5ft = 12 cm long and 5 ft/5ft= 1 cm wide

The width of 1 lane is 1 cm .

The width of 10 lanes would be a total of  10 centimeters , 1 cm for each lane on his drawing.

How many solutions does this equation have?
-4 + 19 - 7f = -15 - 7f
no solution
one solution
infinitely many solutions

Answers

Answer:

No solution

Explanation:

-4+19-7f = -15-7

cancel terms on both sides ( add 7f on both sides)

Calculate the sum

-4+19= -15

-4+19=15

15 = -15

The statement 15 = -15 is false so there is no solution :)

What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?

Group of answer choices

Answers

Answer:

54

Step-by-step explanation:

Multiple Choice An equation of the line
whose slope is 3 and whose y-intercept is 8 is
? ?
A y = 8x + 3
C y = – 3x + 8
Ey = 3x - 8
B y = 3x + 8
D y = - 3x – 8

Answers

Answer:

y = 3x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 and c = 8 , thus

y = 3x + 8 ← equation of line

Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36km/h and 48km/h respectively.
i) How long will it take train B to catch up with train A? ii) How far from the start were the two trains when they met

Answers

Answer:

Train B catches up with train A at 2.25 h

The two trains meet at 108 Km from the start

Step-by-step explanation:

Relative Speed

There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.

i)

Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.

[tex]X_h=36*0.75=27~Km[/tex]

When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.

Thus, for train B to meet with train A, the head start must be traveled at the relative speed.

The time needed to do that is:

[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]

t = 2.25 h

Train B catches up with train A at 2.25 h

ii) In the time calculated above, train B has traveled a distance of:

[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]

The two trains meet at 108 Km from the start

If the original quantity is 17 and the new quantity is 33, estimate the percent change.

Answers

Answer:

The estimate rounding to the nearest whole is 94%, the specific answer is 94.12%.

Step-by-step explanation:

calculator lol

Find the series in A.P whose sum to n terms is n*(n+2)​

Answers

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

[tex]S_{n}[/tex] = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on

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