Answer:
29
Step-by-step explanation:
-2x+4+3y-5x-2y
Combine like terms
-7x+1y+4
evaluate
-7(-3) 1(4) 4
Solve
21+4+4
29
This revolves around exact trig values - no easy way to say this, you just need to memorise them. They are there for sin cos and tan, but I will give you the main tan ones below - note this is RADIANS (always work in them when you can, everything is better):
tan0: 0
tanpi/6: 1/sqrt(3)
tanpi/4: 1
tanpi/3: sqrt(3)
tanpi/2: undefined
Now we just need to equate -2pi/3 to something we understand. 2pi/3 is 1/3 of the way round a circle, so -2pi/3 is 1/3 of the way round the circle going backwards (anticlockwise), so on a diagram we already know it's in the third quadrant of the circle (somewhere between pi and 3pi/2 rads).
We also know it is pi/3 away from pi, so we are looking at sqrt(3) or -sqrt(3) because of those exact values.
Now we just need to work out if it's positive or negative. You can look up a graph of tan and it'll show that the graph intercepts y at (0,0) and has a period of pi rads. Therefore between pi and 3pi/2 rads, the values of tan are positive. Therefore, this gives us our answer of sqrt(3).
Answer:
Angle 1 = 105
Angle 2 = 75
Step-by-step explanation:
Angle 2 and angle 75 are corresponding angles.
Corresponding angles are equal.
So,
Angle 2 = 75
Angle 1 and angle 2 are linear pair angles.
Angle 1 + Angle 2 = 180
Angle 1 + 75 = 180
Angle 1 = 180 - 75
Angle 1 = 105
this is not an answer, but i figured i'd let you know that in the top (where tabs are) you can see somebodys full name...
