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Vera_Pavlovna [14]
4 years ago
12

Una escalera de 13 pies de largo se recuesta a una pared, de forma que la base de la escalera se encuentra separada de la pared,

al nivel del piso, a una distancia de 5 pies. Calcular la altura que llega la escalera en la pared. Recuerde que en un triángulo rectángulo, la hipotenusa, elevada al cuadrado, es igual a la suma de los cuadrados de los otros lados. De ser necesario aproxime a la décima de pie
Mathematics
2 answers:
Harlamova29_29 [7]4 years ago
8 0

For this case we have that, the Pythagorean theorem states:

c = \sqrt {a ^ 2 + b ^ 2}

In this case we have to:

c = 13 \ feet\\b = 5 \ feet

We must find the height, that is, a.

Clearing we have:

a = \sqrt {c ^ 2-b ^ 2}

Substituting:

a = \sqrt {13 ^ 2-5 ^ 2}\\a = \sqrt {144}\\a = 12

So, we have that height is 12 feet.

ANswer:

12 feet

Nastasia [14]4 years ago
6 0

Answer:

12\ ft

Step-by-step explanation:

The question in English is

A 13-foot long staircase rests on a wall, so that the base of the staircase is separated from the wall, at floor level, at a distance of 5 feet. Calculate the height of the ladder on the wall. Remember that in a right triangle, the hypotenuse, squared, is equal to the sum of the squares on the other sides. If necessary, approach the tenth foot

Applying the Pythagoras Theorem

13^{2} =5^{2}+h^{2}

Solve for h

h^{2}=13^{2}-5^{2}

h^{2}=144

h=12\ ft

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fomenos

Answer:

  64a³c²⁷

Step-by-step explanation:

The expression inside parentheses can be simplified by noting that b^0 = 1. Then you have ...

  (4ac^9)^3

The rules of exponents say the exponent outside applies to each of the inside factors. For c^9, the exponents multiply.

Here are the applicable rules:

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  (4ac^9)^3 = 4^3·a^3·c^(9·3) = 64a^3c^27

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3 years ago
. Draw a quadrilateral. Measure all the angles in the quadrilateral.​
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<h3>Step-by-step explanation:</h3>

Quadrilateral are four sided shapes. e.g

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For example: The example is shown in the picture above.

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2 years ago
Scott is using a 12 foot ramp to help load furniture into the back of a moving truck. if the back of the truck is 3.5 feet from
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A 12 feet ramp is used to load stuff into the truck which is at a height of 3.5 feet from ground.

The ramp forms a Right triangle with ground and height of truck.

In the Right triangle, hypotenuse is 12 feet and height is 3.5 feet. We need to find horizontal base of right triangle.


We can use Pythagorean theorem that is given by :-

(Hypotenuse)² = (Base)² + (Height)²

(12)² = (Base)² + (3.5)²

144 = (Base)² + 12.25

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Step-by-step explanation:

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Answer:

  points (x, y) = {(124, 68), (172, 80)}

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Step-by-step explanation:

For the variable definitions given, the problem statement gives you the points ...

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Then the equation that models the relationship can be written ...

  y = 1/4x +37

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