Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17
A correlation coefficient of 1 or -1 indicates that the variables form a perfect linear relationship.
Answer:
y= 1500x = 29690
y=# of movie screens
x= years after 1996
Step-by-step explanation:
Answer:
(5, -3)
y= -3
x= 5
Step-by-step explanation:
-x-2y=1
x+y=2
solve the equation
-x-2y=1
x=2-y
substitute the value of x into an equation
-(2-y)-2y=1
remove parenthesis
-2-y-2y=1
subtract y to 2y
-2-y=1
add 2 from both sides
-y=3
divide both sides by -y
y= -3
substitute the value of y into an equation
x=2-(-3)
remove parenthesis
x=2+3
add 2 to 3
x=5
----------
(5,-3)
----------
