Answer:
Step-by-step explanation:
Given that a curve in polar coordinates is given by:
r=9+3cosθ
a) At point P, we have
Substitute to get
b) Cartesian coordinate is
c) At the origin r =0
when r =0
we have
Since cos cannot take values as -3 it doe snot pass through origin.
The figure consists of three objects, a rectangle, a trapezoid, a triangle
Find the area of the rectangle
The rectangle is 16 in long and 9 in wide
a₁ = l × w
a₁ = 16 × 9
a₁ = 144 in²
Find the area of the trapezoid
The base of trapezoid is 31 in and 16 in, and the height is 35 - 20 = 15 in.
a₂ = 1/2 × (a + b) × h
a₂ = 1/2 × (31 + 16) × 15
a₂ = 1/2 × 47 × 15
a₂ = 352.5 in²
Find the area of the triangle
The base of the triangle is 31 in, the height is 20 in
a₃ = 1/2 × b × h
a₃ = 1/2 × 31 × 20
a₃ = 310 in²
Add the area together
a = a₁ + a₂ + a₃
a = 144 + 352.5 + 310
a = 806.5
The answer is 806.5 in²
Step-by-step explanation:
Use the equation ?/45.20 = 35\100 and what you get is your answer
Hope this helps
Answer:
Step-by-step explanation:
The original price was 43 dollars
The new price is 55/100 * 43
The new price is 2365/100
The new price is 23.65 dollars
2365 came from multiplying 43 * 55 which is 2365
