All triangles have a total of 180° in them.
So to find x, simply take 50° and 100° from 180°:
x = 180 - 100 - 50
= 30°
So x = 30°, and thus option D
A = 73.84
Explanation-
14.2 - 6.4 = 7.8 (to get the length of the base without the top part)
7.8 • 5.2 = 40.56 (to find the area outside of our subtracted square that has the top part)
6.4 • 5.2 = 33.28 (to find the area of the inner square)
40.56 + 33.28 = 73.84 (adding together both parts to find the total area)
A = 73.84
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
Sin = Opposite/ Hypotenuse
Sin (theta)= 5/10
Sin^-1(5/10)=30
theta=30
