Answer:
area of a rectangle is length multiplied by breath, which is the multiplication of 5 an 1/3
Answer: The first one
Step-by-step explanation: first you have to subtract 5 from both sides and then you have -6n < 6 . Then you have to divide both sides by -6 then you get n < -1.
Answer:
12m^2+14m
Step-by-step explanation:
The "^means exponet" Hope I made your day
:)
Total 175 students.
102 students go to movies at least twice a week and 73 students either go 1 times or not going to the movies.
So
Students go 0-1 times per week = 73/175 = 0.4172 = 41.71%
Answer: last option
41.71%
The area bounded by the 2 parabolas is A(θ) = 1/2∫(r₂²- r₁²).dθ between limits θ = a,b...
<span>the limits are solution to 3cosθ = 1+cosθ the points of intersection of curves. </span>
<span>2cosθ = 1 => θ = ±π/3 </span>
<span>A(θ) = 1/2∫(r₂²- r₁²).dθ = 1/2∫(3cosθ)² - (1+cosθ)².dθ </span>
<span>= 1/2∫(3cosθ)².dθ - 1/2∫(1+cosθ)².dθ </span>
<span>= 9/8[2θ + sin(2θ)] - 1/8[6θ + 8sinθ +sin(2θ)] .. </span>
<span>.............where I have used ∫(cosθ)².dθ=1/4[2θ + sin(2θ)] </span>
<span>= 3θ/2 +sin(2θ) - sin(θ) </span>
<span>Area = A(π/3) - A(-π/3) </span>
<span>= 3π/6 + sin(2π/3) -sin(π/3) - (-3π/6) - sin(-2π/3) + sin(-π/3) </span>
<span>= π.</span>
