Answer:

or

Considering ![\theta \in (0, 2\pi]](https://tex.z-dn.net/?f=%5Ctheta%20%5Cin%20%280%2C%202%5Cpi%5D)

or

Step-by-step explanation:

We have:

Therefore,

or

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or

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Answer:
- The first option: $265.05
Step-by-step explanation:
<h3>Option 1</h3>
<u>Payment as sequence:</u>
<u>This is an AP with:</u>
- The first term a = 11.75
- Common difference d = 0.35
- Number of terms n = 18
<u>Find the sum of the first 18 terms:</u>
- S₁₈ = (a + a₁₈)*18/2 = (a + a + 17d)*9 = (11.75*2 + 17*0.35)*9 = $265.05
<h3>Option 2</h3>
Flat rate $14.50 per hour
<u>The sum is:</u>
<u>Compared, we see the first option pays more:</u>
12 if you times 16 by four do the same to 3. Hope this helps
The value of angle a is 70 degrees.
The value of angle b is 110 degrees.