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babunello [35]
3 years ago
8

Nagoya read a book cover to cover in a single session at a rate of 55 pages per hour after 4 hours he had 350 pages left to read

. Let P represent the number of pages left to read after T hours

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
55x4 = ...,,,,,350 %0.35
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Sin tita= 0.6892.find the value Of tita correct to two decimal places<br><br>​
Anvisha [2.4K]

Answer:

\theta \approx 6.28n + 2.38,  \quad  n \in \mathbb{Z}

or

\theta \approx 6.28n + 0.76, \quad n \in \mathbb{Z}

Considering \theta \in (0, 2\pi]

\theta \approx 2.38

or

\theta \approx 0.76

Step-by-step explanation:

\sin(\theta)=0.6892

We have:

\sin (x)=a \Longrightarrow x=\arcsin (a)+2\pi n \text{ or } x=\pi -\arcsin (a)+2\pi n \text{ as } n\in \mathbb{Z}

Therefore,

\theta= \arcsin (0.6892)+2\pi n, \quad n \in \mathbb{Z}

or

\theta = \pi -\arcsin (0.6892)+2\pi n, \quad  n\in \mathbb{Z}

---------------------------------

\theta \approx 6.28n + 2.38,  \quad  n \in \mathbb{Z}

or

\theta \approx 6.28n + 0.76, \quad n \in \mathbb{Z}

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PLEASE SHOW FULL SOLUTIONS!!! WILL MARK BRAINLIEST FOR BEST ANSWER!!
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Answer:

  • The first option: $265.05

Step-by-step explanation:

<h3>Option 1</h3>

<u>Payment as sequence:</u>

  • 11.75, 12.10, 12.45, ...

<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>

  • $14.50*18 = $261.00

<u>Compared, we see the first option pays more:</u>

  • $265.05 > $261.00
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