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Virty [35]
2 years ago
6

The height of the house is 26 feet. What is the height x of each story?

Mathematics
1 answer:
Sonja [21]2 years ago
6 0

26-6=20 divided by 2 is 10

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What is the value of the expression below when x=4x=4? 7x^2 +8x-7 7x 2 +8x−7
Vinil7 [7]

Answer: 137

Step-by-step explanation:

The given expression: 7x^2 +8x-7

We need to find the value of the expression when x=4.

So we just use the substitution property and substitute the value of x= 4 in the given expression , we get

7(4)^2+8(4)-7\\\\= 7(16)+32-7\\\\= 112+25\\\\=137

Hence, the value of the expression at x=4 is 137.

3 0
2 years ago
Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de
enot [183]

Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\tan 27^{\circ} = \frac{h}{1500\,m-x}

0,510 = \frac{h}{1500\,m-x}

Ciudad B

\tan 36^{\circ} = \frac{h}{x}

0,727 = \frac{h}{x}

Donde h y x son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

0,727\cdot x = 0,510\cdot (1500\,m-x)

1,237\cdot x = 765\,m

x = 618,432\,m

Finalmente, la altura del globo con respecto al suelo es:

h = 0,727\cdot x

h = 0,727\cdot (618,432\,m)

h = 449,600\,m

La altura del globo con respecto al suelo es 449,6 metros.

6 0
2 years ago
Regina takes yoga classes 2 days a week at the community center.The cost for the classes is $72,and Regina pays an additional on
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I am wanting to get The highest rank
8 0
2 years ago
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Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two
svp [43]

Answer:

θ∈{\frac{\pi }{8},\frac{5\pi }{8},\frac{9\pi }{8},\frac{13\pi }{8}}

Explanation:

The given equation is

sin(2\theta )-cos(2\theta )=0

\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}

Applying values on 'n' we obtain values of θ that beling to [0,2π)

For n=0, θ=\frac{\pi }{8}

For n=1, θ =\frac{5\pi }{8}

For n=2,θ =\frac{9\pi }{8}

For n=3,θ =\frac{13\pi }{8}

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2 years ago
Paul has just enough money to buy either 5 erasers and 30 pencils or 10 erasers and 24 pencils. Each eraser costs $0.30. How muc
jasenka [17]
Each pencil will cost $0.25
6 0
2 years ago
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