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77julia77 [94]
3 years ago
15

A fireman, 25.7 m away from a burning building, directs a stream of water from a ground level fire hose at an angle of 47.5° abo

ve the horizontal. if the speed is 38.4 m/s, at what height will the stream of water hit the building?
Mathematics
1 answer:
aleksley [76]3 years ago
8 0
The coordinates of a particle of water "t" seconds after it leaves the end of the fire hose will be
.. (x, y) = (38.4*cos(47.5°)t, -4.9t^2 +38.4*sin(47.5°)t)

Solving for t, we have
.. t = x/(38.4*cos(47.5°)

For x = 25.7 meters, t is about 0.99065 seconds.
Then y will be
.. -4.9*(0.99065)^2 +38.4*sin(47.5°)*0.99065 = 23.238 . . . . meters

The water will hit the building about 23.24 meters above the height of the hose.
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2 years ago
nadia wants to enclose a square garden with fencing has an area of 141 ft.² to the nearest foot how much fencing will she need e
Andreas93 [3]

We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:

Area=a^{2}\\141=a^{2}\\a=\sqrt{141}=11.874

We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.

Hence, we can write:

\text{Amount of fencing}=\text{Perimeter of square}

\text{Amount of fencing}=4a=4(11.874)=47.496

Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.

7 0
3 years ago
Ecuación 2:<br> 10x + 20y = 8000<br> ayudaaa
Elenna [48]

Answer:

y = 300

x = 200

Step-by-step explanation:

Esta pregunta parece incompleta, parece que acá tenemos un sistema de ecuaciones:

x + y = 500

10*x + 20*y = 8000

Estas ecuaciones tienen que resolverse en conjunto, y de acá sacaremos un par de puntos (x, y) que son solución para ambas ecuaciones.

El primer paso para resolver esto es aislar una variable en una de las ecuaciones, en este caso podemos aislar x en la primera ecuación y así obtener:

x = 500 - y.

Ahora podemos reemplazar eso en la segunda ecuación y obtener:

10*(500 - y) + 20*y = 8000.

Ahora resolvemos esto para y.

5000 - 10*y + 20*y = 8000

10*y = 8000 - 5000 = 3000

y = 3000/10 = 300.

Y sabíamos que:

x = 500 - y = 500 - 300 = 200

Entonces la solución es:

y = 300

x = 200

4 0
3 years ago
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adoni [48]

Answer:

12

Step-by-step explanation:

Since 15 is 3 times the ratio you multiply 4 by 3

3 0
3 years ago
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andrey2020 [161]

Answer:

28.89 percent

Step-by-step explanation:

45-32 is 13 and 13 is 28.89 percent of 45

Hope this helped!

7 0
3 years ago
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