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3 years ago

Tell whether the triangle with the given side lengths is a right triangle

Mathematics

1 answer:

Stells [14]3 years ago

7 0

Answer:

8mi

Step-by-step explanation:

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Los lados de un triángulo rectángulo tienen por medida tres números enteros consecutivos. Calcula los lados del triángulo.

elixir [45]

Answer:

Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Step-by-step explanation:

Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

$(n+2)^{2} = n^{2} + (n+1)^{2}$ (1)

Donde $n$ es un número natural.

A continuación, expandimos la expresión y resolvemos:

$n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1$

$n^{2}-2\cdot n -3 = 0$

$(n -3) \cdot (n+1) = 0$

La única solución factible es $n = 3$ . En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

4 0

3 years ago

If Abby rolls two number cubes a hundred times, about how many times would she expect a product greater than 10.

alexandr1967 [171]

Answer:

20 times ??

Step-by-step explanation:

6 0

3 years ago

What will the length of segment I' J' be?<br>

Ymorist [56]

Answer:

5.333

Step-by-step explanation:

To find the length of dilated I' J' we need to dilate the shape.

To do this you multiply each coordinate by 8/3.

Ex: (x,y) ---> (8/3x, 8/3y)

H: (0,3) ---> (8/3*0, 8/3*3)

I: (1,1) ---> (8/3*1, 8/3*1)

J: (3,1) ---> (8/3*3, 8/3*1)

K: (2,5) ---> (8/3*2, 8/3*5)

Now we plot this. (Picture attached)

The new I' coordinate: (2.667, 2.667)

The new J' coordinate: (8, 2.667)

The new length would be 8 - 2.667 so we can find the distance between the two points.

Note we are subtracting the y coordinates and not x because x coordinates represent height and y represents length

8 - 2.667 equals 5.333

So the length of segment I' J' will be 5.333

5 0

2 years ago

Which describes how to find the solution to 5k>22?

neonofarm [45]

Just google it its way easy

8 0

3 years ago

Diana received an inheritance of $3500 and plans to place all the money in a savings account that pays 3% compounded quarterly.

Marat540 [252]

Answer:

$36,050

Step-by-step explanation:

If the original price Diana puts into the savings account is $3500 and the pays 3% increase, than how much will be in the account in 10 years?

3% can also be turned in 3 divided by 100, I will be using that in my explanation.

3 divided by 100 : 0.03

you then multiply 0.03 by 3500 and you will get 105.

3% of the $3,500 is $105

$3,500 plus $105 is $3,605

You then have to multiply that answer by 10(years)

$3,605 times 10 is $36,050

4 0

3 years ago