X=rcos(t), y=rsin(t). so y/sin(t) = r => csc(t) = r/y. so for now we have r*(r/y)=8. To solve for r, do x^2 + y^2 = r^2, so r=sqrt(x^2 + y^2). So we have sqrt(x^2 + y^2<span>)*(sqrt(x^2 + y^2<span>)/y</span>)=8, or (x^2+y^2)/y = 8, or x^2/y + y = 8.</span>
So hmmm if you notice y = x² - b is really just the parent function x² with a downward shift of "b". And y = - x² + b is really just x² upside-down shifted upwards by "b". so, both parabolas, look like the picture below, and their vertices is at the origin and then they get shifted, one upwards and the other downwards.
So the rhombus lies in their vertices and intersection points.
now, the area of the rhombus is 54, we're taking the green triangle in the picture, which is half of the rhombus, so its area is 27 then, it has a base of "2b", and an altitude of whatever the value of "x" at the intersection happens to be.
so hmmm let's check what's "x" anyway.
It takes 5 minutes per square foot (400/180=5) and so 5 minutes per square for 720 squares: 720x5=3,600. 3,600 minutes is equivalent to 60 hours so it takes him 60 hours.
Answer:
The answer is D
Step-by-step explanation:
The triangles are similar because all pairs of corresponding angles are congruent.
500 grams is the same as 0.5 kilograms