Answer:
multiply each term in the bracket by the expression outside the bracket
:)
Step-by-step explanation:
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>
Answer:
C. always true
Step-by-step explanation:
<1 and <4 from a straight line and a straight line is always 180 degrees so
Answer:
No
Step-by-step explanation:
All angles have to be =
Answer:
Percentage of cherries = 60 %
Percentage of berries = 40 %
Step-by-step explanation:
He orders 15 1/2 pounds every year.
He wants more= 1 1/4 pounds
So the total pounds = 15 1/2 + 1 1/4
= 15 + 1 + 1/2 + 1/4
= 16 + (2+1)/4
= 16 + 3/4
= 16 3/4 pounds
Out of 16 3/4 pounds they want 2/5 part to be of blue berries.
So blue berries = 16 3/4 * ( 2/5)
= 67/4 * ( 2/5)
= 67/10 = 6 7/10 pounds
Amount of cherries= 16 3/4- 6 7/10
= 10 3/4- 7/10
= 10 (15- 14)/20
= 10 1/20 pounds
Percentage of cherries = Amount of cherries/ Total amount * 100
= 201/20 / 67/4 *100
= 201/20 * 4/67 *100
= 201/335 *100
= 60 %
Percentage of berries = 100- 60 = 40 %
