Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
_____
<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
__
It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
I had 32 cookies and I wanted to give 14 of my friends a cookie each, how many cookies are left?
I went to the pet store with $32 and i bought a $15 for my dog, how much money do I have left?
My friend (insert any random name here) was biking a 32 mile race, he/she has gone 15 miles so far, how many more miles does (their name here) have to bike?
Answer:
Nina would have total expenses and sales $156 after selling 4 necklaces.
Step-by-step explanation:
Let <em>x</em> represent the amount of necklaces made and sold.
The initial cost was $140 and it costs $4 to produce one necklace. Hence, the total cost after producing <em>x</em> necklaces can be represented as:

Each necklace sells for $39. Hence, the total profit after selling <em>x</em> necklaces can be represented as:

To break even, the total cost and profit must be equivalent. Hence:

Solve for <em>x: </em>
<em />
<em />
<em />
Hence, the break even, Nina would need to sell four necklaces.
And the total expenses/profit would be:

In conclusion, Nina would have total expenses and sales $156 after selling 4 necklaces.
Answer:
Step-by-step explanation:
-3x + 4y = 12
12(1/4x - 1/3y = 1)
-3x + 4y = 12
3x - 4y = 12
there is no solution
The required equation of line B is 2y+5x=-2
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the line A expressed as:
2x = 5y – 25
Rewrite in standard form
5y = 2x + 25
y = 2/5 x + 5
The slope will be 2/5
The slope of the perpendicular line will be;

Substitute the point (-6, 14) and slope -5/2 into the equation above to get the required equation of line B

Hence the required equation of line B is 2y+5x=-2
Learn more here: brainly.com/question/13140886