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zheka24
5 days ago
10

A man standing at a window 5 meters tall watches a falling ball pass by the window in 0.3 seconds. From how high above the top o

f the window was the ball released?
Mathematics
1 answer:
babunello [3.6K]5 days ago
4 0

Answer:

The height is 11.76 meters.

Step-by-step explanation:

To solve this problem, the following equations are necessary:

The first one relates initial and final velocities, taking into account that gravity is 9.81 m/s² and the time is 0.3 seconds:

Vf = Vo + g * t = Vo + 9.81 * 0.3

Vf = Vo + 2.94 (1)

The second one also connects initial and final velocities, but this time with distance S, which we know to be 5 meters:

Vf² = Vo² + 2 * g * S

Vf² = Vo² + 2 * 9.81 * 5

Vf² = Vo² + 98.1 (2)

We now have two equations with two unknowns. By substituting (1) into (2):

(Vo + 2.943)² = Vo² + 98.1

Vo² + 5.886 * Vo + 8.66 = Vo² + 98.1

Canceling Vo² and rearranging gives us:

Vo = 89.44 / 5.886

Vo = 15.195 m/s

Now using the formula:

Vo² = 2 * g * h

h = Vo² / (2 * g) = (15.195²) / (2 * 9.81) = 11.76 meters

So, the height corresponds to 11.76 meters.

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A factory received a shipment of 38 sprockets, and the vendor who sold the items knows there are 5 sprockets in the shipment tha
tester [3938]

Answer:

a) 0.00019923%

b) 47.28%

Step-by-step explanation:

a) To determine the likelihood that all sockets in the sample are defective, we can use the following approach:

The first socket is among a group that has 5 defective out of 38, leading to a probability of 5/38.

The second socket is then taken from a group of 4 defective out of 37, following the selection of the first defective socket, resulting in a probability of 4/37.

Extending this logic, the chance of having all 5 defective sockets is computed as: (5/38)*(4/37)*(3/36)*(2/35)*(1/34) = 0.0000019923 = 0.00019923%.

b) Using similar reasoning as in part a, the first socket has a probability of 33/38 of not being defective as it's chosen from a set where 33 sockets are functionally sound. The next socket has a proportion of 32/37, and this continues onward.

The overall probability calculates to (33/38)*(32/37)*(31/36)*(30/35)*(29/34) = 0.4728 = 47.28%.

5 0
7 days ago
A reporter determines a baseball player's batting average, which is a ratio of number of hits to the number of times at bats. Th
Leona [4187]

x:200

x/200 =.2121212121...

200(x/200) = 200(.2121212121...)

x = 42.4242...

The expectation is that a player would achieve 42 hits over 200 at-bats.

8 0
7 days ago
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A real estate agent sells two sites for Rs. 18000 each. On one he gains 25% and on the other he loses 25 %. What is his loss or
zzz [4035]

ESPERO QUE ESTO TE SEA ÚTIL

3 0
13 days ago
Robby had 4 4/9 bags of pet food.All of the bags held the same amount of food when they were full.Of Robby's 4 4/9 bags of pet f
Zina [3917]

Respuesta: 1.8 bolsas

Explicación paso a paso:

A partir de la pregunta, considerando que Robby tiene 4 4/9 bolsas de comida para mascotas, 2/5 eran comida para perros.

2/5 de 4 4/9 = comida para perros.

Convierte 4 4/9 a fracción impropia= 40/9.

2/5 de 40/9 implica 2/5 × 40/9.

= 16/9.

= 1.78 o 1.8.

Espero que esto sea útil, por favor marca como la mejor respuesta.

4 0
13 days ago
On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime
Svet_ta [4341]

The transformation sequence that maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis combined with a translation of 6 units in the x direction and -5 units in the y direction.

Step-by-step explanation:

Let's break down the reflection across the y-axis, horizontal translation, and vertical translation:

1. For point (x, y), reflecting it across the y-axis gives the point (-x, y).

2. Translating point (x, y) h units to the right results in (x + h, y), and h units to the left results in (x - h, y).

3. If point (x, y) is moved k units up, it becomes (x, y + k), and if moved k units down, it is (x, y - k).

∵ The vertices of triangle BCD are (1, 4), (1, 2), (5, 3).

∵ The vertices of triangle B'C'D' are (-1, 4), (-1, 2), (-5, 3).

∵ The x-coordinates of ΔB'C'D' have the same absolute value as those of ΔBCD but with opposite signs, indicating that ΔB'C'D' results from reflecting ΔBCD across the y-axis.

∵ The vertices of triangle B'C'D' are (-1, 4), (-1, 2), (-5, 3).

∵ The vertices of triangle B''C''D'' are (5, -1), (5, -3), (1, -2).

∵ The reflected x-coordinate -1 becomes +5, and -5 becomes +1,

thus the x-coordinates of triangle B'C'D' are increased by 6.

∵ The images of 4, 2, and 3 yield -1, -3, and -2 respectively,

hence subtracting 5 from the y-coordinates of triangle B'C'D' leads us to ΔB"C"D" through a translation of 6 units right and 5 units down ⇒ (x + 6, y - 5).

The transformation sequence that maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis combined with a translation of 6 units in the x direction and -5 units in the y direction.

Learn more:

You can explore more about reflection at

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16 hours ago
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