Step-by-step explanation:
So 95 is a linear pair. a linear pair adds up to 180 so 180 - 95 = 85
X = 85
y = 50
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You have
y as an implicit function of
x:
sin(xy) – x = 0Use implicit differentiation. As
y is a function of
x, then you must apply the chain rule there:
d d—— [ sin(xy) – x ] = —— (0) dx dx d d d—— [ sin(xy) ] – —— (x) = —— (0) dx dx dx d—— [ sin(xy) ] – 1 = 0 dx d—— [ sin(xy) ] = 1 dx dcos(xy) · —— (xy) = 1 dxNow, apply the product rule for that last derivative:
dyIsolate
—— :
dx dyx cos(xy) · —— = 1 – y cos(xy) dxAssuming
x cos(xy) ≠ 0,
dy 1 – y cos(xy)—— = ———————— <——— this is the answer.
dx x cos (xy)I hope this helps. =)
Answer: 38 in.^{2}
Step-by-step explanation:
1/ Find the area of the triangular sides. (1/2 x 2 x 6 =
for each triangular side)
2/ Find the area of each of the rectangular sides. In this case, the bottom (base) side is 2x6 =
. The rectangular side on the left is 2x3 =
, and the rectangular side on the right is 4x2 =
.
3/ Add everything together. Rectangular Sides + Triangular Sides = Surface Area ---> 
4/ You have your answer, now hope it helps ! :)
Answer:
X>-4
Step-by-step explanation: solve for X by simplifying both sides of the inequality then isolating the variable