Answer:
width=3
length=9
Step-by-step explanation:
1/2 perimeter: 24/2=12
let x: width; y: lenght
y=2x+3
x=12-y
y=2(12-y)+3
y=24-2y+3
y+2y=27
y=9
x=12-9=3
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>
False. A bisector divides the angle evenly, not into right angles.
Answer:he gained 88 yards
Step-by-step explanation: just do 11x 8 and you will get 88
so therefore the best option is a have a great day
To multiply 9x475 using expanded form and the distributive property, you will break 475 into three numbers, multiply each of them by 9, and add the products together:
475 = 400 + 70 + 5
400x9 = 3600
70x9 = 630
5x9 = 45
3600 + 630 + 45 = 4,275
