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
The value of x
5x+15+17(sides)=45(perimeter of sides/sum of sides)
5x+32=45
5x=45-32
5x=13
x=13/5
x=2.6
The value of x is 2.6
9514 1404 393
Answer:
a = 57.5
b = 90
c = 65
Step-by-step explanation:
The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°
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The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.
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The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.
(a, b, c) = (57.5, 90, 65)
Since they gave you the boxes you need the first number to be zero therefore having the quotient starting with zero. Then you may divide normally
