Se ha construido un cuadrado sobre cada lado del triángulo rectángulo, Pitágoras dice que el cuadrado de área 25 cm2, es igual a sumar las áreas de los otros dos cuadrados, es decir, 16 cm2 y 9 cm2. Escribir la expresión algebraica que mejor represente la relación entre las áreas en la figura.

Answers

Answer 1

Answer:

Tenemos la siguiente expresión algebraica:

[tex]c^{2} = a^{2}+b^{2}[/tex] (1)

Donde:

[tex]c[/tex] - Hipotenusa, en centímetros.

[tex]a, b[/tex] - Catetos, en centímetros.

Step-by-step explanation:

Este ejercicio ofrece un recurso mnemotécnico para la comprensión y aplicación del Teorema de Pitágoras, el cual establece que el cuadrado de la hipotenusa es igual a la suma de los catetos elevados al cuadrado, siendo cada componente equivalente al área de un cuadrado hipotético, entonces, la expresión algebraica que representa esa relación entre las áreas es:

[tex]25\,cm^{2} = 16\,cm^{2} + 9\,cm^{2}[/tex]

[tex](5\,cm)^{2} = (4\,cm)^{2}+(3\,cm)^{2}[/tex]

Por analogía, tenemos la siguiente expresión algebraica:

[tex]c^{2} = a^{2}+b^{2}[/tex] (1)

Donde:

[tex]c[/tex] - Hipotenusa, en centímetros.

[tex]a, b[/tex] - Catetos, en centímetros.


Related Questions

Como repartir 5,20 dolares en cuatro partes iguales?

Answers

Answer:

Por ejemplo, podrías utilizar la división para determinar cómo repartir 40 ... 15 ÷ 5 = 3. Podrías también usar la recta numérica para modelar ésta división. ... ¿Cuáles de las siguientes expresiones representan dividir $56 en partes iguales entre 7 ... “5, 10, 15, 20, 25, 30. Debo saltar 6 veces para llegar a 30.” 30 ÷ 5 = 6.

Step-by-step explanation:

What is the length of the hypotenuse of the triangle?

Answers

17

This is gonna be confusing but this is how you solve stuff like this

8 x 8 = 64 15 x 15 = 225
64 + 225 = 289
Find the square root of 289
17

ken makes 75 cookies. He gives 3/5 of them to his classmates and 1/3 of them to his teachers. He brings the rest home. Ken brings home _______ cookies.

Answers

Answer:

5 cookies

Step-by-step explanation:

3/5 = 9/15 1/3=5/15

5/15+9/15=14/15.

75 ÷ 15 = 5

Ken will bring home 5 cookies

What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.

Answers

Answer:

1/2

Step-by-step explanation:

Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.

The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2

What are the solutions for 4x^2+81=36x

Answers

The answer is x= 9/2

pls answer 13 points!! :)

Answers

Answer:

140 lb.

Step-by-step explanation:

Answer:

140 pounds

Step-by-step explanation:

75% of 80 is 60

100% of 80 is 80

80+60 = 140

What is the slope of the line that passes through the points (3,2) and (-1,-4)? Write your answer as a fraction in simplest form

Answers

Answer:

Slope: -1/2

Step-by-step explanation:

Take a look at the slope formula

2-(-4)/3-(-1)

=-2/4

=-1/2

The dimensions of the rectangular prism shown are given in centimeters. 4cm, 3cm ,1.4cm What is the volume of the rectangular prism in cubic centimeters?

Answers

Answer

V = 16.8

Step-by-step explanation:

Answer: V- 16.8  

Explanation: From K12

I HATE IT

PLEASE HELP ITS DUE IN 10 MINUTES IF YOU PUT A LINK I WILL REPORT YOU AND I WILL GIVE BRAINLIEST

Answers

Answer:

|x + 7| ≥ 2 is the inequality

Step-by-step explanation:

x - b ≥ c    or    x - b ≤ -c

x ≥ b + c = -5     or x ≤ b - c = -9

b + c = -5

b - c = -9

2b = -14

b = -7                             -7 + c = -5

                                             c = 2

x - (-7) = x + 7

So, |x + 7| ≥ 2 is the inequality

can anyone help me please

Answers

Answer:

it just depends what gumball its talking about

Step-by-step explanation:

Which expression represents the following statement? Subtract 5 from 7 times the sum of 4 and 2.

7 x (4 ÷ 2) + 5
7 + 4 + (2 ÷ 5)
7 ÷ 4 − (2 + 5)
7 x (4 + 2) − 5

Answers

It’s 7 x (4 + 2) - 5

Maya has 200 songs on her cell phone. Of these songs, 48 are jazz songs. What percent of Maya's songs are jazz songs? Enter the correct answer in the box.

Answers

Answer:

24%

Step-by-step explanation:

48/200= 0.24, which is equal to 24%.

ANSWER: 24%

here’s a way to calculate percentage:

48 x
—— = ——
200 100

we have to find “x” so cross multiply (we can only cross multiply 48 & 100 since you can’t multiply x & 200 because x isn’t a number.) So, 48*100= 4800. then divide by the number left over number (200.) So 4800/200= 24

Happy to help!

The angle of depression from a bird sitting on the top of a telephone pole to the base of a tree is 61°. If the telephone pole is 17 feet tall, what is the distance between the pole and the tree?

Answers

Hello, I Am BrotherEye

Answer:

Perhaps This Will Help!

https://brainly.in/question/3424477

Step-by-step explanation:

You have 3 mice in a barn and they quadruple every month. How many mice are in the
barn in 1 year?

Answers

Answer:

144

Step-by-step explanation:

4*3=12

12*12=144

Find the length of each arc. Use the exact answer

Answers

Answer:

D) 16π/3 ft

Step-by-step explanation:

We solve the above question using the Arc length formula when our central angle is in degrees

The formula is given as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

Hence,

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Arc length = 16π/3 ft

Option D is the correct option

If y=x+2 then what is the slope and the y intercept?

Answers

Answer:

y-intercept is (0, 2) and the slope is 1

need help with please

Answers

y=2x
2x=8x-6
2x-8x=-6
-6x=-6
x=1

Answer:

(1,2)

Step-by-step explanation:

So, if y= 2x...

2x= 8x-6

-6x= -6

x= 1

y=2x

y= (2)(1)

y=2

(1,2)

NEED HELP ASAP!!! PLZ HELP!!!!

Answers

Answer:

45.8

Step-by-step explanation:

Find the value of x in the triangle shown below.
24 74

Answers

Answer:

x =82

because 180 - (24 + 74)= 82

Suppose an arithmetic sequence has a common difference of -5. What is the next term after 105?

Answers

Answer:

         - 525

Step-by-step explanation:

[tex]a_{n+1}=a_n\cdot r[/tex]

So, if the common ratio is -5 the next term is always (-5) times the previous term.

105·(-5) = - 525

Anita has a success rate of 80% on free throws in basketball. She wants to know the estimated probability that she can make exactly four of five free throws in her next game. How can she simulate this scenario? Categorize each simulation of this scenario as correct or incorrect.

Roll a six-sided die five times. The
numbers 1 to 4 represent a make,
and numbers 5 and 6 represent a
miss.

Spin a spinner with three equal
sections five times. On the spinner,
one section represents a miss and
two sections represent a make.

Generate a set of five numbers using
a number generator with the numbers
0 to 9.The numbers 0 to 7 represent a
make, and 8 and 9 represent a miss.

Generate a set of five numbers using
a number generator with the numbers
0 to 5.The numbers 0 to 3 represent a
make, and 4 and 5 represent a miss.

Spin a spinner with five equal sections
five times. On the spinner, four sections
represent a make and one section
represents a miss.

Answers

Answer:

Roll a six-sided die five times. The  numbers 1 to 4 represent a make,

and numbers 5 and 6 represent a  miss. (Correct)

Spin a spinner with three equal  sections five times. On the spinner,

one section represents a miss and  two sections represent a make. (Incorrect)

Generate a set of five numbers using  a number generator with the numbers

0 to 9.The numbers 0 to 7 represent a  make, and 8 and 9 represent a miss. (Correct)

Generate a set of five numbers using  a number generator with the numbers

0 to 5.The numbers 0 to 3 represent a  make, and 4 and 5 represent a miss. (Incorrect)

Spin a spinner with five equal sections  five times. On the spinner, four sections  represent a make and one section  represents a miss. (Correct)

Step-by-step explanation:

Answer:

Roll a six-sided die five times. The  numbers 1 to 4 represent a make,

and numbers 5 and 6 represent a  miss. (Correct)

Spin a spinner with three equal  sections five times. On the spinner,

one section represents a miss and  two sections represent a make. (Incorrect)

Generate a set of five numbers using  a number generator with the numbers

0 to 9.The numbers 0 to 7 represent a  make, and 8 and 9 represent a miss. (Correct)

Generate a set of five numbers using  a number generator with the numbers

0 to 5.The numbers 0 to 3 represent a  make, and 4 and 5 represent a miss. (Incorrect)

Spin a spinner with five equal sections  five times. On the spinner, four sections  represent a make and one section  represents a miss. (Correct)

Step-by-step explanation:

Solve the quadratic equation by using the quadratic formula 3x^2x-3=0

Answers

Answer:

The answer is on the attached file, i did it on another uncopy pastable document

Step-by-step explanation:

What is the slope of the line that passes through the points (-2, -5) and (6, 7)? A.3/2 B.2/3 C.-3/2 D.-2/3

Answers

Answer:

3/2

Step-by-step explanation:

y2 - y1/ x2 - x1

7 -(-5) / 6 - (-2)

12/ 8

3/2

Please I need help now Please help now
8. a) What are the odds of picking a jack, queen or king at random from a deck of cards?

b) What are the odds in favor of rolling a number greater than 3 on a die

Answers

Answer:

a) 3/13

b) 1/2

Step-by-step explanation:

a) In a deck of 52 cards there are 4 Kings, 4 Queens and 4 jacks. So the probability of drawing those cards is (4+4+4)/52 = 12/52 = 3/13.

b) 1/2 because the numbers greater than 3 on a dice is 4, 5, and 6 which is half of the available options.

A cylinder has a radius of 5 centimeters
and a height of 17 centimeters. What is
the total surface area of the cylinder?
Use 3.14 for

Answers

SA for a cylinder = 2 pie r squared + 2 pie r h

= 2 x pie x 25 + 2 x pie x 5 x 17

= 220 pie or 690.8 if you use 3.14 instead of the full value

List in order from least to greatest: 0, |-4|, |12|, -7, 2

Answers

The answer is A bro, easy

Answer:

-7, 0, 2, |-4|, |12|

Step-by-step explanation:

absolute value (| |) means that the sign of the number is always positive

2.) Olivia is borrowing $60 from her brother at 10% monthly interest. The
interest is to be compounded every month, and her only repayment
will be in full after 3 months. About how much will Olivia pay in
interest?

Answers

Answer:

18 dollars

Step-by-step explanation:

well my teacher tought me to use something called a proportian box when you multiply the 60 * 210 equals 600 divided by 100 equals that 6 dollars of the interest then you multiply by 3 months with gives you 18 dollars in total

hope this helps

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

It would be B! :) have a good day

cade wants to learn more about chipmunks which of the following statistical question cade could ask

Answers

Answer:

B is the best choice

Step-by-step explanation:

A and C have nothing to do with numbers, so you can rule them out. D would only give you one piece of data.

With B, you'd get a number that had to be calculated. Probably a mean/average weight of a chipmunk.

Answer:

B 100% I just took the test

A developer wants to divide an 84 acre parcel of land into lots in the ratio 6:2:4. How many acres are each land division. WILL AWARD BRAINLIEST.

Answers

Answer:

42 acres, 14 acres, 28 acres

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