Convert the rectangular equation to polar form.
1 answer:
To convert from rectangular coordinate (x, y) to polar coordinate (r, θ).
r is given by the square root of the sum of the squares of the rectangular coordinate.
and θ is given by the arctan of the ratio of y to x.
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)
r is given by the square root of the sum of the squares of the rectangular coordinate.
and θ is given by the arctan of the ratio of y to x.
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)
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Answer:
7%
Step-by-step explanation:
The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).
To do this, we can use the following formula:
Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:
We can cross multiply and simplify to find the tax rate:
We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:
Place the percent sign and we are done.
Hope this helps.