R = 2 / (1 + sin <span>θ)
Using the following relations:
R = sqrt (x^2 + y^2)
sin </span>θ = y/R
<span>
R = 2 / (1 + y/R)
R</span>(1 + y/R<span>) = 2
</span><span>R + y = 2
R = 2 - y
sqrt(x^2 + y^2) = 2 - y
Squaring both sides:
x^2 + y^2 = (2 - y)^2
x^2 + y^2 = 4 - 4y + y^2
x^2 + 4y - 4
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Step-by-step explanation:
Answer:
365 messages
Step-by-step explanation:
x = # text messages)
16.5 = 10 + .10(x - 300)
6.5 = .10x - 30
36.5 = .10x
x = 365
The amount earned hourly by Ryan and the number of work hours required to cover his vacation cost are $29.75 and 63 hours respectively.
<u>Given the Parameters</u> :
- Total amount earned = $238
- Number of hours worked = 8 hours
Hourly earning = Total earning ÷ number of hours worked
Hourly earning = $238 ÷ 8 = $29.75
B.)
Vacation cost = $1850
Hourly earning = $29.75
<u>Number of work hours required</u> :
- Vacation cost ÷ Hourly earning
Therefore, Ryan will need to work for 63 hours to cover his vacation expenses.
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