Answer:
The answer is A) x equals 3
A perfect fifth above a note has a frequency ratio of 3 to 2.
Therefore, we can set the proportion:
164.81 : x = 2 : 3
which gives:
x = <span>164.81 </span>× 3 ÷ 2
= 247.21
Hence, the perfect fifth above E₃ will have a frequency of 247.21Hz which corresponds to a B₃.
Answer:
I want to show you how to do this as well, the formula you are working with is a^2+b^2=c^2
Step-by-step explanation:
1.) 8^2+b^2=12^2
64+b^2=144
subtract 64 from both sides
b^2=80
take the square root of 80 and you get
b= 8.9
if you need more help on this let me know, I am going to list the other answers now because to do it all and show work on here is a lot of typing, all of which I will do if you do not understand the first example. Also the c value can ONLY BE THE HYPOTENUSE VALUE. The hypotenuse is the longest side of the triangle. For example, 12 would be the C value on number one and in number two it would be 15.
2.) 14.5
3.) 10.3
4.) 18.8
5.) 8
6.) 15
Both sides equal each other. Do you want to know how?
√(4 + 16 + 16√3 + 12) = 4√(2 + √3)
Surd Rule: Numbers with the same surd can be added together. Therefore, all whole integers can be added together.
√(4 + 16 + 16√3 + 12)
√((4 + 16 + 12 )+ 16√3 ) =
√(32 + 16√3)
Simplify by Factorising the common factor - 16
√(32 + 16√3) ÷ 16
√(16 (2 + √3))
Square root 16. This is because it is a not a surd because it is not in it's simplest form.
√16 = 4
√4 (2 + √3)
