Answer: 525 cycles per second.
Step-by-step explanation:
The equation for inverse variation between x and y is given by :-
(1)
Given : The length of a violin string varies inversely with the frequency of its vibrations.
A violin string 14 inches long vibrates at a frequency of 450 cycles per second.
Let x = length of a violin
y= frequency of its vibrations
To find: The frequency of a 12 inch violin string.
Put 
in equation (1) , we get
Divide both sides by 12 , we get
Hence, the frequency of a 12 inch violin string = 525 cycles per second.
Answer:
18
Step-by-step explanation:
Let the number be 'x'
Sum of 'x' and 12 = x +12
The product of 8 and the sum of a number and 12 = 8* (x +12)
= 8*x + 8*12
= 8x + 96
8x + 96 = 240
Subtract 96 from both sides
8x + 9 6 - 96 = 240 - 96
8x = 144
Divide both sides by 8
x = 144/8
x = 18
Answer:
$186.17
Step-by-step explanation:
Hope this helps
Answer:
$0.7676
Step-by-step explanation:
Dividend declared = $2,500,000.
Total shares of preferred stock = 240,000
Each share costs $2.10
So, Total cost of shares of preferred stock = 240,000×2.10
Dividend due to the preferred shareholders = $504,000.
Now,
Total shares of common stock = 2,600,00
Cost of shares of common stocks = Total dividend - Total cost of shares of
preferred stock
= $2,500,000-504,000
= $1,996,000
Dividend per share of common stock =$ 
= $0.7676
Step-by-step explanation:
Length of third side
Or
Length of third side
