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strojnjashka [21]
1 year ago
12

Solution

Mathematics
1 answer:
Anit [1.1K]1 year ago
7 0

Answer:

28.26658805 (I included every digit in case your teacher needs you to round)

Step-by-step explanation:

In order to find x, we need to isolate x by subtracting 15^2 and taking the square root of both sides.

Thus, we have:

15^2+x^2=32^2\\x^2=32^2-15^2\\\sqrt{x^2} =\sqrt{(32^2-15^2)} \\\sqrt{x^2}=\sqrt{799}  \\x=28.26658805

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The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi
Andru [333]

we can use formula

\theta=tan^{-1}(\frac{a_y}{a_x})

(a)

we are given

a_x=12,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{12})

\theta=tan^{-1}(1)

\theta=\frac{\pi}{4}rad

(b)

we are given

a_x=20,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{20})

\theta=tan^{-1}(\frac{3}{5})

\theta=30.96^{\circ \:}

(c)

we are given

a_x=12,a_y=20

now, we can plug values

\theta=tan^{-1}(\frac{20}{12})

\theta=tan^{-1}(\frac{5}{3})

\theta=59.03^{\circ \:}


6 0
2 years ago
The side length of one side of a triangle is 2x -2, the second side is 2x + 3. What is the length of the third side if the perim
Elena L [17]

Answer:

2x + 2

Step-by-step explanation:

2x -2 + 2x + 3 is equal to 4x + 1 to make it 6x + 3 you need to add 2x to the term 4x and you need to add 2 to the term 1 so

2x + 2

8 0
2 years ago
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The center of rotation is point P. Which describes the rotation of ΔABC to form ΔA'B'C'?
MrRissso [65]
It's easy what do you think
7 0
3 years ago
Las llantas de un automóvil pequeño tiene una medida de 14 pulgadas de diámetro.Realiza la gráfica de una de las llantas colocan
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Answer:

Invitamos cordial a revisar la imagen adjunta abajo para mayor detalle sobre la gráfica de las llantas.

La forma general de la circunferencia de la llanta está representada por x^{2}+y^{2}-49 = 0.

Step-by-step explanation:

A continuación, anexamos una representación de las llantas del automóvil como una circunferencia centrada en el origen y con un diámetro de 14 pulgadas, es decir, un radio de 7 pulgadas.

La ecuación estándar de la circunferencia centrada en un punto dado y con un radio determinado está definida por:

(x-h)^{2}+(y-k)^{2} =r^{2} (1)

Donde:

h, k - Coordenadas del centro de la circunferencia, medidas en pulgadas.

r - Radio de la circunferencia, medido en pulgadas.

Si conocemos que h = 0\,in, k = 0\,in y r = 7\,in, entonces la ecuación estándar que representa a la circunferencia de la llanta es:

x^{2}+y^{2} = 49

Ahora, la ecuación general de la circunferencia centrada en el origen satisface la siguiente expresión:

A\cdot x^{2}+A\cdot y^{2}+B = 0 (2)

Donde A, B son los coeficientes de forma de la circunferencia.

Entonces, la forma general de la circunferencia de la llanta está representada por la siguiente expresión:

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6 0
2 years ago
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Elena-2011 [213]

Answer:

A discrete variable is a variable that can only take some selected given values from a given set, like x ∈ {x₁, x₂, ..., xₙ}

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3) Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.

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so here we have a kinda dense set of possible values, so we can think of this as a continuous variable.

4)  A pair of dice is rolled, and the sum to appear on the dice is recorded.

Here the possible values are whole numbers again, so we can not have values like 3.5, so again, this is a discrete variable.

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