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

Helpp
A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses:
15, 14, 6, 13, 20, 13, 9, 17

Answers

17 that’s the answer I did this one before

hELP
Which equation below would have a y-intercept at (0,7) and open downward? Question 1 options: y = 7x2+16x+26 f(x) =−x2−7x−11 f(x)=−3x2+16x+7 y =7x2+7x−7

Answers

Could you be more clear with the question and put ,

please help find the missing angles !!!! ​

Answers

Answer:

4

Step-by-step explanation:

please help lol !!!!

Answers

Answer:

63 degrees

Step-by-step explanation:

Since this is an isosceles triangle, the two bottom angles must be equal, while the top angle (in the way this specific triangle is oriented) must be different. Therefore, angle CDB is 63 degrees.

Answer:

∠CDB = 63°

Step-by-step explanation:

∠CBD and ∠CDB opposite side lengths are congruent (indicated by the little markings)

Because their opposite sides are congruent they are too congruent

So ∠CBD = ∠CDB

because ∠CBD = 63° ∠CDB also equal 63°

Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogram. A circle is cut into 8 equal sections. The sections are arranged into the shape of a parallelogram with a base of 9.42 inches and height of 3 inches. Which expression represents the approximate area of the circle in square inches? 9.42 times 3 9.42 times 3 squared 9.42 times 6 9.42 times 6 squared]

Answers

Answer:

The expression that represents the approximate area of the circle in square inches is;

9.42 times 3

Step-by-step explanation:

From the question, we have;

The shape of the figure which Kyra is finding the area for = A circle;

The number of equal pieces Kyra cuts the shape into = 8 equal sectors

The shape the sectors are arranged into = A parallelogram

The base of the parallelogram = 9.42 inches

The height of the parallelogram = 3 inches

Therefore, the area of the approximate parallelogram formed ≈  The area of the circle

The area of a parallelogram = The base × The height

∴ The area of the approximate parallelogram formed = 9.42 × 3 ≈ The area of the circle

The approximate area of the circle = 9.42 × 3 square inches.

Answer:

B

Step-by-step explanation:

Just to simplify the top answer :)

Andy constructed a triangle. Angle 1 and 2 are the same size and angle 3 has a measurement of 100 degrees. What is the measurement of angle 1 and angle 2?

a , 30
b 40
c 60
d 90

Answers

Answer:

Angle 1: 40

Angle 2: 40

Step-by-step explanation:

A triangle's angles will ALWAYS add up to 180 degrees total, therefore you can subtract 100 from 180 to find what the measure of A and B are combined.

180 - 100 = 80

So now we know Angles A and B add to 80 degrees, but individually, each is half of that, so both are 40 degrees.

Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates of its vertex.

Answers

Answer:

[tex]y=2(x+6)^2+7[/tex]

[tex](-6,7)[/tex]

Step-by-step explanation:

[tex]y=2x^2+24x+79[/tex]

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

[tex]y=(2x^2+24x)+79[/tex]

Factor out the coefficient of the quadratic term,

[tex]y=2(x^2+12x)+79[/tex]

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

[tex]y=2(x^2+12x+36-36)+79[/tex]

Simplify,

[tex]y=2(x^2+12x+36)+79+(2)(-36)[/tex]

[tex]y=2(x+6)^2+79-72[/tex]

[tex]y=2(x+6)^2+7[/tex]

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

[tex](-6,7)[/tex]

If a man weighs 198 pounds on Earth, his mass on Earth is 90 kilograms. Please answer A&B. A What is this man's weight on the Moon? B What is the mass on the moon? Explain.

Answers

The guy will weight 32.86 pound on the moon

Find the slope of the line that passes through the pair of points (-6,2),(5,-1)

Answers

Answer:

y = -3/11x + 4/11

Step-by-step explanation:

y2 - y1/ x2 - x1

-1 - 2/ 5 - (-6)

-3 / 11

y = -3/11x + b

-1 = -3/11(5) + b

-1 = -15/11 + b

4/11 = b

Q10.
ABC is a right-angled triangle.
А
11 cm
B
7 cm
C
(a) Work out the size of angle ABC.
Give your answer correct to 1 decimal place.

Answers

Answer:

[tex]B = 50.5^\circ[/tex]

Step-by-step explanation:

Given

[tex]AB = 11[/tex]

[tex]BC = 7[/tex]

See attachment

Required

Determine [tex]\angle ABC[/tex]

[tex]\angle ABC[/tex] implies that we calculate the angle at B.

Given that:

[tex]AB = 11[/tex] --- Hypotenuse

[tex]BC = 7[/tex] --- Adjacent of B

We apply cosine formula

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(B) = \frac{BC}{AB}[/tex]

[tex]\cos(B) = \frac{7}{11}[/tex]

[tex]\cos(B) = 0.6364[/tex]

Take arccos of both sides

[tex]B = cos^{-1}(0.6364)[/tex]

[tex]B = 50.5^\circ[/tex]

please help please help please help please help

Answers

4.6cm will be the correct answer

What is 45% of 62 please help

Answers

Answer:

multiply 2 * 5 add 4 +6 multiply both of your answers and you get the answer to 45% of 62

Answer:

45℅of 62is27.9

hope I it helps.

There are 312 fish at the aquarium in 3 different fish tanks. Each tank has the same number of fish. How many fish are in each tank? Write an equation to find the unknown. Then find the unknown.​

Answers

Answer:

[tex]312 \div 3 = x \\ x = \frac{312}{3} \\ x = \frac{104}{1} \\ x = 104 fish \: in \: each \: tank[/tex]

WORTH 25. Help me please. I don't ask that much I'm not begging you either. Thanks.

Answers

Answer:

9.

Step-by-step explanation:

It's further away from the other numbers by a significant amount.

Which equation has the solution x=6

A. 5x + 7 = 33
B. 5x - 5 = 25
C. 5x + 6 = -36
D. 3x - 9 = 33

you will be marked as BRAINLIEST:)

Answers

Answer:

B. x=6

move all terms to the left that don't contain x to the right side and solve.

i’m not that smart but i suppose it’s B

PLEASE HELP ME!!
Brainliest for most helpful
If you use bit. ly I will ban you
Don't try me
All I need is a decimal

Answers

It might be 0.432 because add all the mornings numbers, 19,2,6,16.

19+2+6+16 = 43.

How many Freshman? 19 so 19/43 and then you divide 19 and 43

19/43 and you get 0.4418604651 about and it looks to be close to 0.432.

Does the point (0,0) satisfy the equation y = 9x?
yes
no

Answers

yes, because 0 = 9 x 0.

Find the mean, median, and mode(s) of the data. Do not round.

12, 13, 40, 95, 88, 7, 95

Answers

Mean:350
Median:95
Mode:95

Answer:

i know the mode is 95

Step-by-step explanation:

Which inequality is represented by the following graph

Answers

Answer: x > -8

Step-by-step explanation: the line is going to 8 then 9, 10, etc. so greater than ; the circle on #8 isn't filled in so there won't be a line by the sign

I need help with ixl t.2 (sixth-grade math)

Answers

Sure. I could help you what do you need

LIN
EAR
WEAK
14
13
12
11
10
9
8
7
6
STR
ONO
NON
LIN
EAR
RELATIONSHIP
POS
TIVE
NEOA
TIVE
12 13 14 15 16 17 18 19 20

Answers

i don’t understand? what is this v

please show all work

Answers

Answer:

[tex]x=21.6[/tex]

Step-by-step explanation:

Use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,

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

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Use the Pythagorean theorem in the right triangle with legs (15) and (18),

[tex](15)^2+(18)^2=c^2\\\\225 + 324=c^2\\\\549=c^2\\\\\sqrt{549}=c[/tex]

Use the Pythagorean theorem again in the right triangle with the legs (18) and (x)

[tex](x)^2+(18)^2=c^2\\\\\sqrt{x^2+324}=c[/tex]

Use the Pythagorean theorem one final time in the larger triangle,

[tex](\sqrt{x^2+324})^2+(\sqrt{549})^2=(x+15)^2\\[/tex]

Simplify, remember that anything to the power (2) is equal to the base (number under the exponent) times itself,

[tex]x^2+324+549=x^2+30x+225[/tex]

[tex]x^2+873=x^2+30x+225[/tex]

Inverse operations,

[tex]x^2+873=x^2+30x+225\\-x^2\\\\873=30x+225\\-225\\\\648=30x\\/30\\\\\frac{648}{30}=x\\\\21.6=x[/tex]

select the expression that is equivalent to (x+5)^2-(x-3)(x+5)

Answers

do u have the answer options?

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

What is the sum of 5.6 + 2.89?

Answers

Answer:

The sum is 8.49

Step-by-step explanation:

All you have to do is add the tenths place together but keep the hundredths the same. Hope this helps.

What's the distance between (2,-2) and (-5,-4)

Answers

Answer:

[tex]\sqrt{53\\}[/tex]

Step-by-step explanation:

Use the distance equation ([tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} = D[/tex]and plug in the values for the distance D

√((-5-2)^2 + (-4 - (-2))^2) = √53

5 4 2 2 2 2 1 1 3 2 2 3 3 2 1
can someone find the median mode and please show how you got it :)
you will get top answer

Answers

Answer:

mode = 2

Step-by-step explanation:

mode is the most frequently seen number.

median is the average so 5+4+2+2+2+2+1+1+3+2+2+3+3+2+1/15= 2 1/3

Answer:

Median is 2, Mode is 2

Step-by-step explanation:

1,1,1,2,2,2,2,2,2,2,3,3,3,4,5 to get the median you put the number from smallest to large then you x one out on each side until there is only one number left which would be 2

The mode is 2 because it is the most common number (aka it appears the most in the list)

Find the solution to the system of equations.
x + 3y = 4
2x + 5y = 12
A. (3.8)
B. (-8,4)
C. (16,-4)
D. (1.2)
E. (-1,-2)

Answers

Answer:

C (16,-4)

Step-by-step explanation:

16+3*-4=4

16+(-12)=4

16-12=4

4=4

2*16+5*-4=12

32+(-20)=12

32-20=12

12=12

Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three times the other​

Answers

Answer:

Joe Mama :))))))))))))))))))))))

Step-by-step explanation:

For witch of the following inequalities shown below is x=2 solution? Select all that apply.

Answers

Answer:

z=x so x=all answer ALL

Step-by-step explanation:

Write two numbers that have the given absolute value.

22

Answers

Answer:

22 and -22

Step-by-step explanation:

Absolute value means the distance of a number from zero

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