Cos theta would be (adjacent side) / (hypotenuse), or 8/29.
Thus, the angle theta would be the inverse cosine of 8/29, which is
1.291 radians or 73.987 degrees.
Given this result, just take the sine of this angle.
Answer:

Step-by-step explanation:
Given
y = 3x + 1
Required
Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1
First, the slope of the line has to be calculated;
Th slope of a line is the coefficient of x in its linear equation;
This implies that the slope of y = 3x + 1 is 3
Having calculated the slope of the first line;
The relationship between both lines are perpendicularity; this implies that 
Where m_1 = 3 and m_2 is the slope of the secodnd line
becomes

Divide both sides by 3


The equation of the line can be calculated using the folloing formula

Where
and 
The equation becomes


Cross multiply


Collect like terms



Answer:
6.8x - 5
Step-by-step explanation:
To answer this question I combined like terms:
(2.5x + 4.3x) - 5
2.5x + 4.3x = 6.8x
Then you add the 5 to the end of the expression:
6.8x - 5
Answer:
ABC
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
I just did the math on how much 30% is in 40 and I got the answer 12 I hope this helps you!