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murzikaleks [220]
3 years ago
5

Find the angle of rotation of triangle XYZ about the point P.​

Mathematics
1 answer:
WARRIOR [948]3 years ago
4 0

Answer:

about 135 degrees

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If Bert had 3 cents more he would have twice as much as Georgia. If he had 4 cents less, he would have the same amount. How many
Ad libitum [116K]
Bert has 11 cents. Georgia has 7 cents. 
5 0
3 years ago
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A car starts a journey with a full tank of gas. The equation y=16 - 0.05x relates the number of gallons of gas, y, left in the t
GenaCL600 [577]

We are given that a car starts a journey with a full tank of gas. The equation y=16-0.05x relates the number of gallons of gas (y) left in the tank to the number of miles the car has traveled(x).

A. We will find y intercept by substituting x=0 in our equation,

y=16-0.05*0

y=16

Now let us find our x-intercept by substituting y=0 in our equation,

0=16-0.05x

0.05x=16

x=\frac{16}{0.05}=320

Therefore, x-intercept is 320 and y-intercept is 16.

B. Our x-intercept represents that after travelling 320 miles there were 0 or none gallons of gas left in tank.

C. Our y-intercept represents that there were 16 gallons of gas in car tank when car started the journey.


6 0
3 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
3 years ago
The graph below shows the number of pages that Victor has left to read in his book at the end of the day over seven days. Pages
Kazeer [188]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Which simplified ratio correctly compares 30 inches to 2 feet?
Serggg [28]

Answer:

5:4

Step-by-step explanation:

There are 12 inches in one foot, so there are 24 inches in 2 feet.

Therefore, the ratio that compares 30 inches to 2 feet is the ratio that compares 30 inches to 24 inches.

This is

30\ :\ 24

Simplify it:

30\ :\ 24=\dfrac{30}{24}=\dfrac{6\times 5}{6\times 4}=\dfrac{5}{4}=5\ :\ 4

4 0
2 years ago
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