Answer:
- $4.65
- $69.75
Step-by-step explanation:
How much money she makes from each bracelet:
9-4.35=$4.65
How much money she makes from the 15 bracelets:
4.65 x 15= $69.75
Answer:
Step-by-step explanation:
note : P(AUB) = p(A)+p(B) - p(A∩B)
P(AUB) = 8/15+6/15- 1/5 = 8/15+6/15-3/15 = 11/15 answer : B
Answer:
2
Step-by-step explanation:
X = 4(cosθ - cos²θ) = 4cosθ - 4cos²<span>θ
</span>dx/dθ = -4sinθ + 8sinθcosθ = -4sinθ(1 - 2cos<span>θ)
dy/d</span>θ = 4(cosθ - cos²θ + sin²θ) = 4(cos<span>θ - 1)
</span>∴dy/dx = 4(cosθ - 1)/-4sinθ(1 - 2cosθ) = 1-cosθ/(sinθ - 2sinθcosθ<span>)
Now, we're finding a horizontal tangent, which is when dy/dx = 0 (horizontal tangent).
1-cos</span>θ/(sinθ - 2sinθcosθ) = 0
1-cosθ = 0
cosθ = 1
θ = 0, 360 in the interval [0, 360].
At θ = 0, x = 0, y = 0
Only points in the open interval [-2π, 2π] are at (0, 0), unless I made a mistake somewhere.
Angle APB= 60+x (alternate angles are equal)
angle PBA= 180-60+x-x (sum of angles in a triangle)
=120-x
