Answer:
x=106 degrees
Step-by-step explanation:
The two opposite angles in a parallelogram are always the same and we know 360 degrees in a parallelogram.
x+x+74+74=360.
2x+148=360
2x=212
x=106 degrees
Answer:
f(x, y) = Sin(x*y)
We want the second order taylor expansion around x = 0, y = 0.
This will be:

So let's find all the terms:
Remember that:


f(0,0) = sin(0*0) = 1.





Then we have that the taylor expansion of second order around x = 0 and y = 0 is:
sin(x,y) = x*y + x*y + x*y = 3*x*y
Answer:
sin theta = -2 sqrt(14)/15
Step-by-step explanation:
cos theta = adj / hyp
We can find the opp side by using the Pythagorean theorem
adj ^2 + opp ^2 = hyp^2
(-13)^2 + opp ^2 = 15^2
169 + opp ^2 = 225
opp ^2 = 225 -169
opp ^2 =56
Taking the square root of each side
sqrt( opp^2) = sqrt(56)
opp = sqrt(4 * 14)
opp = 2 sqrt(14)
Since we are in the third quadrant opp is negative
opp = -2 sqrt(14)
We know
sin theta = opp / hyp
sin theta = -2 sqrt(14)/15
Answer:
center(8x,12y) radius 3
Step-by-step explanation:
If i am doing this correct