Sin θ = 2 / 7
tan θ > 0
cos θ = ?
sin θ = opposite / hypotenuse
tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse
short leg = opposite = 2
hypotenuse = 7
long leg = adjacent = ?
adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
adjacent = 3 √5
cos θ = adjacent / hypotenuse
cos θ = 3√5 / 7
Given:
The equation of a line is:

The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:

For
,




For
,




Divide both sides by 2.


The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then

Using this rule, we get


Similarly,


The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:




Multiply both sides by 2.



Therefore, the equation of the line after the dilation is
.
Step-by-step explanation:
9-(10) = 9-10 = -1
Hope this helps
Answer:
x=11
Step-by-step explanation:
Add 7 to both sides
-3x+5x=22
combine like terms(-3x and 5x)
2x=22
divide by 2
x=11
Answer:
36 miles
Step-by-step explanation:
given:
9 hours -------> 27 miles
1 hour ----------> 27 / 9 miles
12 hours -------> (27/9) x 12 = 36 miles