Which set of numbers describe the side length of a right triangle

Which Set Of Numbers Describe The Side Length Of A Right Triangle

Answers

Answer 1

Answer: 3,4,5

Step-by-step explanation:

Answer 2

5² = 3² + 4²

25 = 9 + 16

25 = 25

The set of numbers 3, 4, and 5 describe the side length of a right triangle.

Option C is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Set of numbers:

1, 2, 3

2, 3, 4

3, 4, 5

4, 5, 6

We need to find the set of numbers that describe the side length of a right triangle.

We will apply the Pythagorean theorem to all the sets of numbers.

Using 1,2,3.

1² = 2² + 3²

1 = 4 + 9

1 = 13

2² = 1² + 3²

4 = 1 + 9

4 = 10

3² = 1² + 2²

9 = 1 + 4

9 = 5

This is not true.

Similarly,

Set of numbers: 2,3,4 and 4,5,6 are not true.

Using 3, 4, 5

5² = 3² + 4²

25 = 9 + 16

25 = 25

This is true.

Thus,

The set of numbers 3, 4, and 5 describe the side length of a right triangle.

Option C is the correct answer.

Learn more about the Pythagorean theorem here:

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Related Questions

James wants to buy a new cell phone package there are three packages available for each offering a different deal which package offers the best deal​

Answers

Answer:package 3

Step-by-step explanation:

Hope I am right it is there cheapest

Which two numbers multiply to 20 and add to 9

Answers

Answer: 5x4=20

And 5+4=9

Step-by-step explanation:

The required two numbers are 4 and 5.

What is equation?

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

We need to find two number such that if multiply then we get 20 and add to get 9.

Let 'a' and 'b' be two numbers.

According to given conditions,

a × b = 20                .........................(i)

a + b =9                    .......................(ii)

So, from given conditions we have two equations (i) and (ii).

From equation (ii) we have,

a = 9 - b                    ...............(iii)

Substitute above value of 'a' in equation (i),

⇒ (9 - b) × b = 20

⇒ 9b - b² = 20

⇒ b² - 9b + 20 = 0

Now we solve this quadratic equation to find b.

⇒ b² - 9b + 20 = 0

⇒ b² - 5b - 4b + 20 = 0

⇒ (b - 5) (b - 4) = 0

⇒ b = 5 or   b = 4

Find the value of 'a' from equation (iii)

When b = 5

⇒ a = 9 - 5

⇒ a = 4

When b = 4

⇒ a = 9 - 4

⇒ a = 5

Therefore, the required two numbers are 4 and 5.

Learn more about equation here:

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pleaze help
Plot the ordered pair in a coordinate plane. Describe the location of the point. 32. A(1,3)
33. B(0, -3)
34. C(-4,-2)
35. D(-1 1/4, 2)
and explain it if u can

Answers

Answer:

Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.

Step-by-step explanation:

 what number when added to 1 1/3 gives 2

Answers

The answer is 2/3

Explanation

1/3+2/3= 3/3 which is 1
So that would change 1 1/3 to 1 3/3 which is the same as 2.

What is 60 percent of 20

Answers

The 60 percent of 20 is 12

Answer:

The answer is 12. Hope this helped :-)

Step-by-step explanation:

60% of 20

6.2=12

17 - 4x = 33
What does X=?

Answers

Answer:

x = -4

Step-by-step explanation:

17 - 4x = 33

Subtract 17 from each side

17-17 - 4x = 33-17

-4x = 16

Divide each side by -4

-4x/-4 =16/-4

x = -4

Is (-1,2) a solution to the following linear equation:
2x + y = 2

Answers

Plug in the values
2(-1) + 2 = 2
-2 + 2 = 2
0 = 2, false

(-1,2) is not a solution

Answer:

No

Step-by-step explanation:

plug in the variables into the equation

(x,y)

(-1,2)

2(-1)+2=2

2*-1=-2

-2+2=0

2 does not equal 0 so therefore no, it is not a solution

A square has a perimeter of 8x - 10 units, Each side is x units long. What is the value of x?

Answers

Answer:

They want you to recognize that you can make 2 equations that both are equal to P.... the perimeter.... and then set them equal to each other and solve for x  .. as below

Step-by-step explanation:

P = 8x-10

P = 4x

4x = 8x-10

10 = 4x

2.5 = x



Can someone tell me what the slope is ?

Answers

Answer:

-5/4

Step-by-step explanation:

rise/run = -5/4

hope this helps <3

Answer:

-5/4

calculator lol (and rise over one)

help me with this please.

Answers

Answer: i know this already is late but ,8 13 18 just adding 5

Step-by-step explanation:

For homework, a teacher instructs her students to choose a county in their state for a social
studies project. Since they live in a small state, repeats are allowed.
Are these two events dependent or independent?

Answers

Answer:

they are dependent

Step-by-step explanation:

Find the values or a and b​

Answers

Answer:

a=33 ( vertically opposite angles)

a+90=b( sum of opposite interior angle is equal exterior angle)

33+90 = b

b=123

For her science project, Sylvia collected flowers and measured their length. The line plot displays the lengths of the flowers. If
the flowers were laid end to end, what is the total length of all the flowers?
Length of Flowers
Number
of Flowers
OA. 5 feet
OB. 5 feet
OC. 54 feet
OD. 58 feet

Answers

Answer:

5 3/4

Step-by-step explanation:

I have this problem too and in the same website too. It told us the total length of all of the flowers, so we add 1/8 + 1/4 + 3/8 + 3/8 + 3/8 + 3/8 + 1/2 + 1/2 + 5/8 + 5/8 + 3/4 + 7/8 and it was equal to 5 3/4

Answer: the answer is 5 3/4

Step-by-step explanation: i took the quiz

SOME ONE HELP PLS Jenny has finished 15 of the 20 lessons in her piano book. Liam has finished the same percent of lessons from his piano book. His book contains 40 lessons. How many lessons has Liam finished?

Answers

Answer:

30

Step-by-step explanation:

15/20 is 75%

75% of 40 is 30

Can u help me please

Answers

I'll help

The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;

2x + 5y= 57

The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;

x+10y=51.

So the expressions will be;

2x+5y=57

x+10y=51

That's Option C

7th grade math please help

Answers

Answer:

3.8 x 4.5

+

3.8 x 5.1 divided by 2!

Step-by-step explanation:

You can turn it into 2 squares, or follow the hints!

What is the solution to this inequality?

42.06 = 21.33 + 3x

Answers

Answer:

x = 6.91 hope this helps pls lmk

last one i need help with

Answers

Answer: 10 sq units

Step-by-step explanation:

3 + 4.5 + 0.5 + 2 = 10 sq units

What expression is equivalent to 11x-6x+x

Answers

Answer:

6 x

Step-by-step explanation:

The picture below has the steps

help pls, i’ll mark as brainliest if correct

Answers

Answer: -11/12

Step-by-step explanation:


Can someone pleaseeee help if you’re correct I’ll give u brain list

Answers

Answer:

45 degrees / 2 miles

Step-by-step explanation:

All the sides are equivalent, therefore each side has the same value.

Hopefully this helped you make sure to make it brainliest! :D

Answer:

Step-by-step explanation:

2√2

can I please have some help​

Answers

Step-by-step explanation:

6.-3

8.-36

10.11

make it braintliest please

Answer:

6) q = -3

8) d = -4

10) y = 10

Step-by-step explanation:

6) -7q = 21

divide by -7 on both sides

q = -3

8) -1/3d = 12

divide both sides by -1/3

d = -4

10) -88 = -8y

divide both sides by -8

10 = y

or

y = 10

50 points and a Brainliest.

Answers

Answer:

1a. 64=4(7+x)

1b. x=9

2a. 64=7+4x

2b. x=57/4

Step-by-step explanation:

1a. To represent this situation, all of the weight for each package must be in the equation. Since each package has 4 boxes, and only the objects in one box are detailed, everything must be multiplied by 4. Now, the values that must be multiplied by 4 are a bag of rice and beans. Since the beans weigh 7 pounds, they can be represented using the constant 7, and the rice can be represented with the variable x. Combining all of this information, the equation 64(total)=4(7+x)

1b. Now, the equation above must be solved. First, divide both sides by 4 in order to get 16=7+x. Now, subtract 7 from both sides to find that x=9

2a. This problem is similar to the first problem, except instead of multiplying both the beans and rice by four, only the rice needs to be multiplied. With this knowledge the equation 64=7+4x is created.

2b. To solve the above equation, 7 must be subtracted from both sides. This leaves 57=4x. Now, both sides must be divided by 4, giving the final answer of x=57/4.

Answer:

1a. 64=4(7+x)

1b. x=9

2a. 64=7+4x

2b. x=57/4

Step-by-step explanation:

-5x+35=40

It's 2-step-equations btw :)

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

- 5x + 35 = 40 ( subtract 35 from both sides )

- 5x = 5 ( divide both sides by - 5 )

x = - 1

You have a goal to save $250. You have saved $160? What percent of your goal have you reached?

Answers

The answer is 64 percent

30pts PLEASE HELP I WILL GIVE BRAINLIEST TO RIGHT ANSWER

The distance of a golf ball from the hole can be represented by the right side of a parabola
with vertex (-1,8). The ball reaches the hole 1 second after it is hit, at time 0.

What is the equation of the parabola, in vertex form, that represents the ball's distance
from the hole, y, at time x?

Answers

Let's suppose that the hole is at y = 0m, where x is the time variable.

we know that:

The vertex is (-1s, 8m).

(i suppose x in seconds and y in meters)

At x = 1s, the ball reaches the hole, so we also have the point:

(1s, 0m).

Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:

x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

0m = a*1s^2 + 1s*2a*1s + c

We can simplify both equations and get:

8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.

0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.

Easily we can isolate c in the second equation and then replace it into the first equation:

c = -a*3s^2

The first equation becomes:

8m = -a*1s^2 - a*3s^2 = -a*4s^2

a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m

Hooke’s Law of Elasticity states that the force applied, y, varies directly with the distance a spring stretches, x (assuming the spring is not stretched past its elastic limit). If a force of 160 newtons stretches a spring 800 cm, how far will a force of 368 newtons stretch the same spring? Justify your answer.
Group of answer choices

F. It will stretch the same spring 73.6 cm because the equation is y equals 5x.

G. It will stretch the same spring 73.6 cm because the equation is y equals one fifth x..

H. It will stretch the same spring 1,840 cm because the equation is y equals 5x.

J. It will stretch the same spring 1,840 cm because the equation is y equals one fifth x..

Answers

Answer:

H:  It will stretch the same spring 1,840 cm because the equation is y equals 5x.

Step-by-step explanation:

800=y

160and368=x

You find the answer by dividing,

⁸⁰⁰⁄₁₆₀= ʸ⁄₃₆₈

800 divided by 160 equals 5 which means the equation is y equals 5x

and 368x5=1,840

also, do you go to college park?

PLEASE HELP ME I WILL GIVE YOU BRAINIEST

Answers

Answer:

2.68 × [tex]10^{26}[/tex] Km³

Step-by-step explanation:

Using the given formula for volume V, then

V = [tex]\frac{4}{3}[/tex] π × (4 × [tex]10^{8}[/tex] )³

  = [tex]\frac{4}{3}[/tex] π × 4³ × ([tex]10^{8}[/tex] )³

 = [tex]\frac{4}{3}[/tex] π × 64 × [tex]10^{24}[/tex]

 = 268 × [tex]10^{24}[/tex]

 = 2.68 × 10² × [tex]10^{24}[/tex]

 = 2.68 × [tex]10^{26}[/tex] Km³

There were 4983 students going on the field trip. Each bus could hold 60 students. How many buses did they need to transport all of the students?

Answers

Answer:

eighty four 84 84 84 84 84

Answer:

84

Step-by-step explanation:

Michael needs to memorize words on a vocabulary list for German class. He has 12 words to memorize,and he is one-fourth done. How many words has Michael memorized so far?

Answers

Answer:

3

Step-by-step explanation:

12 divided by 4 equals 3

Hope this helped!! :)

Brainliest?!?!

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