The area for a semi circle in Cartesian coordinate system with the flat edge against the x-axis is:A=∫0r2−x2√∫−rrdxdy
Bounding limits for x are from -r to r. And for y, this comes from the equation for a circle:x2+y2=r2
Solve for y:y=±r2−x2−−−−−−√
But since we are only dealing with a semi circle, we can always look at the positive answer.
To convert to a polar coordinate system, we used some equations you have probably seen:x=rcosθy=rsinθdxdy=rdrdθ
The substitute to convert to polar coordinate system:A=∫0π∫0rrdrdθSolve this for the area.A=πr2/2
To find the x coordinate of the centroid:x=1/A∫∫xdxdyorx=1/A∫0π∫0rrcosθ(rdrdθ)Solve and you will find x = 0 which intuitively makes sense.
Similar for the y coordinate of the centroid:y=1/A∫∫ydxdyory=1/A∫0π∫0rrsinθ(rdrdθ)Solve and you will find y=4r/3π
This means the centroid of a semicircle is at: (0,4r/3π)
3h × 2 / 3h = -9 × 3h
therefore
2 = -27h
h = -27/ 2
We know that
• Each multicellular organism is provided by 625 square feet.
To find the number of organisms for 8,750 square feet, we have to divide.
<h2>Therefore, the lawn would supply the daily support of oxygen for 14 organisms.</h2>
41 is not a composite number because you can not divide 41 with any number. Therefore, it is prime.
Step-by-step explanation:
paki ayos (*ˊᗜˋ*)ᵗᑋᵃᐢᵏ ᵞᵒᵘ sa pts
