Answer:
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Step-by-step explanation:
y cos x = x cos y
y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y
-y sin x + dy/dx cos x = -x sin y dy/dx + cos y
dy/dx (cos x + x sin y) = cos y + y sin x
dy/dx = (cos y + y sin x) / (cos x + x sin y)
For each of these problems, remember SOH-CAH-TOA.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.
6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.
7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.
8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.
Hope this helps!
Circumference: 21.991 feet
Area: 38.485 feet
Answer:
j = 6
Step-by-step explanation:
"Is" typically means equals. "More than" means it is added to.
So 15 equals j with 9 added to it.
15 = 9 + j
Now solve for j by subtracting 9 from both sides.
15 - 9 = j
j = 6
Okay so probability is just percentage of a whole, right?
So you have 14 White Eggs + 15 Brown Eggs + 11 Lemons.
Add all those numbers together and you get your whole.
14 + 15 = 29 29+11 = 40
40 is your whole.
So because you want to know how likely it is to pick up an egg, you would follow these steps.
100/40 = 2.5 (For each part of the 40, it is worth 2.5 percent.)
2.5 x 29 = 72.5
Your probability of picking an egg out of the bask is 72.5 percent or 72.5 out of 100.
