Plot the point (-7, -5). We are in quadrant 3.
We also know that tan θ = opp/adj.
Cot θ = adj/opp.
Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.
Look: (-7)^2 + (-5)^2 = r^2
If you should ever need to find r, do this:
(-7)^2 + (-5)^2 = r^2
(49) + 25) = r^2
74 = r^2
Take the square root on both sides of the equation to find r.
sqrt{74} = sqrt{r^2}
sqrt{74} = r
It is ok to simplify the sqrt{74} but not needed.
We now have the three sides of the triangle that is form in quadrant 3.
We can now read cot θ from the triangle itself.
So, cot θ = adj/opp = (-7)/(-5) or 7/5.
No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.
Answer:
x = 1
y = 2
Step-by-step explanation:
y =8x - 6 ---------------------------------(I)
y = 2x -------------------------------------(II)
substitute y = 2x in equation (I)
2x = 8x - 6
Add 6 to both sides
2x + 6 = 8x
Subtract 2x from both sides
6 = 8x - 2x
6 = 6x
Divide both sides by 6
6/6 = x
x = 1
Substitute x = 1 in equation (II)
y = 2*1
y = 2
Given :
A T.V. is measure by its diagonal.
To Find :
If the height of a 60 inch T.V. is 32 inches, what is the width.
Solution :
We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .
Let, width of T.V. is x.
Applying Pythagoras theorem in sides, we get :
Therefore, width of T.V. is 55.42 inches.
The sum of the 3 inside angles of a triangle needs to equal 180:
11x-5 + 6x + 5 + c = 180
Combine like terms:
18x = 180
Divide both sides by 18:
X = 10
Solve for Q:
11x -5= 11(10) -5 = 110-5 = 105 degrees
Answer: -4. Reasoning: We are trying to get the angle of both lines to equal 180. If you add 60+124 together to see how much we have currently, your answer comes up to 184. That’s 4 over what we need, therefore, -4 would be needed to bring the current amount back down to 180.
