Answer:
Step-by-step explanation:
x = cos θ + sin(10θ)
y = sin θ + cos(10θ)
Take derivative with respect to θ:
dx/dθ = -sin θ + 10 cos(10θ)
dy/dθ = cos θ - 10 sin(10θ)
Divide:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))
Evaluate the derivative at θ=0:
dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)
dy/dx = 1/10
Evaluate the parametric functions at θ=0:
x = cos 0 + sin 0 = 1
y = sin 0 + cos 0 = 1
Writing the equation of the tangent line in point-slope form:
y - 1 = 1/10 (x - 1)
Answer:
8 gallons were eaten.
Step-by-step explanation:
You would multiply the percentage by the amount of gallons. So 80% would be 0.8 so it would be 0.8 multiplied by 10 which gives you 8.
Approximately 14.4 inches I think is the correct answer!
Answer:
Yes and no, I'll explain below
Step-by-step explanation:
An obtuse triangle can have either a 90 degree angle or an 180 degree angle. This reason being said, an obtuse triangle has ONLY one angle that is greater than 90 degrees. But the sum of any given triangle is 180. Hope this helps!
The ratio of the areas of the two polygons can be 25:45
Just Multiply the two give numbers by 5 and you get the answer.
