Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
Answer: A, or 0.2x
Step-by-step explanation:
To figure how expressions and percent's match up, replace the x with an easy number. For example, I use 4.
20% of 4 is 0.8, and 4 x 0.2 is also 0.8
Therefore, the expression to represent that percentage is A.
Also, the other answers were WAYYY off.
B, or x - 20 is flawed since x could be anything.
C, is also flawed in the same way.
And D makes -76.
A is the only sensible one and is proven to work.
Hope this helped!
-Nick
C. 4
Because the rule of the graph is $1.50 per pound of apple, so you have to divide $6.00 by $1.50 and that gives you the answer.
I hope I helped
Please make me brainliest
Answer:
Equation of line 1 is 3 X - 4 Y = 20
Equation of line 2 is 3 X + 4 Y = 20
Step-by-step explanation:
Given co ordinates of points as,
( -4 , 8) and (0 , 5)
From the given two points we can determine the slop of a line
I. e slop (m) = 
Or, m = 
So, m = 
Now equations of line can be written as ,
Y - y1 = m ( X - x1)
<u>At points ( -4 , 8)</u>
Y - 8 = (X + 4)
So , Equation of line 1 is 3 X - 4 Y = 20
<u>Again with points ( 0 , 5)</u>
Y - 5 = ( X - 0)
So, Equation of line 2 is 3 X + 4 Y = 20
Hence Equation of line 1 is 3 X - 4 Y = 20 and Equation of line 2 is 3 X + 4 Y = 20 Answer
The greatest common factor of the expressions 60x and 84 is 12 because it can divide both 60 and 84 giving us the answer of 5 and 7, respectively. Factoring out 12 from the terms of the given expression will give us the answer of,
60x - 84 = 12(5x - 7)
