Answer:
The direction angle of vector v is equal to 
Step-by-step explanation:
Let

The vector v is given by




Remember that
The direction angle of the vector is equal to

substitute the values


F(x). "f(x) = ... " is the classic way of writing a function. And there are other ways, as you will see! .... Example: {(2, 4), (2,5), (7,3)} is not a function because {2,4} and {2,5} means that 2 could be related to .
Answer:
14.1 cm
Step-by-step explanation:
first find the base diagonal :
base di = Square root (8^2 + 6^2) = 10cm
so,
diagonal = Square root (10^2 + 10^2) = 14.1 cm (ANS)
Hey there!!
Let us take the price of cinnamon tea as ' x ' and spice tea as ' y '
Now, let us take it into equation
12x + 3y = 15 -------------- ( 1 )
14x + 12y = 45 --------------- ( 2 )
Let us multiply the first equation with 4
48x + 12y = 60 --------------- ( 1 )
14x + 12y = 45 --------------- ( 2 )
Now, subtract equation 2
48x + 12y = 60
-14x - 12y = -45
Now, we get,
34x = 15
x = 15 / 34
This is the cost for cinnamon tea = $ 15 / 34
Now, substitute this into one equation
Let us take this equation - 12x + 3y = 15
Now, substitute ' x '
12 ( 15 / 34 ) + 3y = 15
6 ( 15 / 17 ) + 3y = 15
90 / 17 + 3y = 15
3y = 15 - 90/17
3y = 165 / 17
y = ( 165/17 ) ( 1 / 3 )
y = $ 55/17
Cinnamon tea = $ 15/34
Spice tea = $ 55/17
Hope helps!