Explanation is given step by step just below:
tan(theta(t))=y(t)/x(t)
differentiate
sec^2(theta(t))*theta'(t)=y'(t)x(t)-y(t)x'(t)/x^2(t)
thus
theta'(t)=(y'(t)x(t)-y(t)x'(t))
divided by (x^2(t)*sec^2(θ(t))
Let n be the number of times she walked around the pond
(3 3/8) / (3/8) = n
=> 9 = n
Vanessa walked around the pond 9 times
Answer:
40°
Step-by-step explanation:
Angle 1 and Angle 2 are corresponding angles.
Corresponding angles are congruent, so 3x + 4 = 5x - 20
Solving 3x + 4 = 5x - 20
3x = 5x - 24
2x = 24
x = 12
Substitute angle 1
3x + 4 = 36 + 4 = 40
Answer:
175 square feet
Step-by-step explanation:
the area of the whole thing is 400 ft. (20 x 20=400)
i got the 20 from the perimeter b/c 20+20+20+20=80
then subtract the area of the pool from 400 to get 175.
