What is the volume, in cubic centimeters,
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
and filling in:
(notice we do not put the i in there with the 9).
so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
so filling that in, we have:
Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is
, so the polar form of that number is (18,
)
Answer: Plan A will cost less than Plan B for phone use that is less than or equal to 100 minutes
Step-by-step explanation:
Let m be the number of minutes of phone use.
We can convert $35 and $36 to 3500 cents and 3600 cents respectively.
Then, in Plan A, it would cost 3500 + 6m and in Plan B, it would cost 3600 + 5m.
Since we want Plan A to cost less, we can set up an inequality saying:
We can subtract 3500 + 5m from both sides:
Therefore, Plan A will cost less than Plan B for phone use that is less than or equal to 100 minutes.