Answer:
Please check the explanation.
Step-by-step explanation:
As we have to determine a positive angle less than 360 degrees that is conterminal with 540 degrees.
so
540° - 360° = 180°
The resulting angle of 180° is positive, less than 360°, and coterminal with 540°.
Answer:
12:1
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A. Area = ½b × h
= ½ × 16 × 9
= 72
B. Area = b × h
= 26 × 18
= 468
C. Area = a²
= 11²
= 121
D. Area = ½(a+b) × h
= ½(6+21) × 8
= 108
Hope this helps :)
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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>
If the temperature of the egg is x, then if x is below 23 (x<23), they rarely hatch. If x is greater than 33 (x>33), they also rarely hatch. For them to not rarely hatch, then x must be not below 23 (greater than or equal to) and not above 33 (less than or equal to), resulting in our compound equality being
23≤x≤33 and our pair of simple inequalities being x≥23 and x≤33.
