For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
Happy Earth Day to u too.
Step-by-step explanation:
1) Plant a sapling
2) Draw a poster related to Earth Day
3) Color a picture of the Earth/ tree
4) Decorate ur room with plants
5) Prepare a speech on Earth Day
6) Do T-shirt designing with Earth as a design
7) Buy a paper/ cloth bag
8) Recycle what u use
9 Avoid plastic
10) Use bikes or walk instead of vehicles
1. Let L=length and W=width
2. L=5w+2
3. The perimeter can be solved as follows:
(5w+2) + (5w+2) + w + w = 114 in
12w + 4 = 114 in
12w = 110
w = 110/12
w = 9.17
L = 47.83
First, when multiplying percents, you need to convert them to decimals. You convert percents to decimals by multiplying by 100 or moving the decimal two places to the left. Once you convert them to full decimals, you multiply the decimal by the number that you are getting the percentage from
61% of 180⇒.61×180=<u>109.8 </u>
5.1% of 81?⇒.051×81=<u>4.131
</u>
of 36?⇒16.5×36⇒.165×36=<u>5.94
</u>81% of 241⇒.81×241=<u>195.21</u>
76% of 600⇒.76×600=<u>456</u>
88% of 680⇒.88×680=<u>598.4</u>
37% of 481⇒.37×481=<u>177.97</u>
19.1% of 380⇒.191×380=<u>72.58</u>
41% of 321⇒.41×321=<u>131.61</u>
33% of 331⇒.33×331=<u>109.23</u>