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Likurg_2 [28]
2 years ago
9

I need help on 10,12,14,16

Mathematics
2 answers:
Paraphin [41]2 years ago
5 0

Answer:

Step-by-step explanation:

10 is : x = 10

12 is : n = 12

14 is : b = -9

16 is : b = 11

Crank2 years ago
4 0
N for 12 is not 10 it is 2
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A pebble is dropped into a deep well and 3s later the sound of a splash is heard as the pebble reaches the bottom of the well. T
ankoles [38]

Answer:

2.89\ \text{s}

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37.4\ \text{m}

Step-by-step explanation:

t_1 = Time taken by the pebble to hit the water

t_2 = Time taken by the sound to travel to the observer

t_1+t_2 = Time taken by the observer to listen to the splash after stone is thrown = 3 s

t_1=3-t_2

a = g = Acceleration due to gravity = 9.81\ \text{m/s}^2

u_s = Speed of sound = 340 m/s

The distance traveled by the pebble

s=ut+\dfrac{1}{2}at_1^2\\\Rightarrow s=0+\dfrac{1}{2}\times9.81(3-t_2)^2\\\Rightarrow s=4.905(9+t_2^2-6t_2^2)

Distance traveled by the sound

s=u_st\\\Rightarrow s=340\times t_2

The distance traveled by the sound and the pebble is equal

4.905(9+t_2^2-6t_2)=340\times t_2\\\Rightarrow 9+t_2^2-6t_2=\dfrac{340}{4.905}t_2\\\Rightarrow 9+t_2^2-6t_2=69.32t_2\\\Rightarrow t_2^2-75.32t_2+9=0\\\Rightarrow t_2=\frac{-\left(-75.32\right)\pm \sqrt{\left(-75.32\right)^2-4\times \:1\times \:9}}{2\times \:1}\\\Rightarrow t_2=75.2,0.11

Since t_1+t_2=3 the value of t_2 cannot be greater than 3.

So, time taken by the sound to reach the observer is 0.11 seconds.

Time taken by the pebble to hit the water is t_1=3-t_2=3-0.11=2.89\ \text{s}

Depth of the well is s=340t_2=340\times 0.11=37.4\ \text{m}

8 0
2 years ago
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