The wavelength w, in meters per cycle, of a musical note is given by w=r/f, where r is the speed of the sound in meters per se
1 answer:
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Answer:
A pythagorean identity means that for any angle ,
.
This also means The symbol, theta (
) represents one of the acute angles in the right triangle. The hypotenuse (familiarly c in the regular pythagorean theorem) is 1. The triangle base is
, and the height (side perpendicular to the base, making a right angle) is
. The angle theta is opposite the
side.
Step-by-step explanation:
The pythagorean theorem applies to right triangles, which always have a 90 degree angle. Pythagorean identities are used to simplify trigonometric expressions/evaluate trig functions and to find the trig ratios in a right triangle.
Answer:
1. (a) A function is a mapping where there should be different values of y for different x.
So, given ordered pairs:
(3,7), (3,8) ,(3,-2) ,(3,4) ,(3,1)
It is not a function because there are multiple y values for single x-value.
Option 2 is correct.
(b) We need to find range of the function f(x)= -4x +1
So, we have given the domain which means the value of x we will put thses given values of x to find y
Values of y is the range in a function
So, given domain is: {-5,-1,0,2,10}
When
When
when
when
when
So, Range is: {-39,-7,1,5,21}
Option 1 is correct.
(c) We have given a function
Where c is the number of cup jug of milk which is 16.
Put c=16 in given function
So, c=16, v(c)=1568 is reasonable domain and range of the function.
Option 1 is correct.
(d) We need to find the inverse of given ordered pairs (1,2) (3,4) ,(6,8)
So, the inverse means values of x and y interchange.
So, the required inverse is: (2,1) ,(4,3) ,(8,6)
Option 3rd is correct.
2. We need to find the inverse of given scatter plot in which we have to find the inverse
So, given scatter plot represents (-4,-2) ,(1,-1) ,(2,1) ,(3,2)
So, in inverse values of x and y interchange
So, inverse scatter plot should represent (-2,-4) ,(-1,1) ,(1,2), (2,3)
Attached is the scatter plot inverse
Graph 1 is correct.
3.We have been given a function:
So, f(x)=y
That is
We will find x from above equation we get
Now, interchange x and y
is the required inverse
Therefore, option 3rd is correct.
Hello!
Since Trey pays a flat monthly $6 fee, we can subtract that from the total bill:
$12.27 - $6 = $6.72
That leaves us with a total of $6.72 paid for minutes. We are told that Trey is charged 8 cents per minute of usage. Using the information above, we can create the following equation:
$0.08 x (minutes) = $6.72
Now divide $0.08 from both sides of the equation and simplify:
x (minutes) =
minutes = 84
We have now proven that Trey was billed for 84 minutes.
I hope this helps!