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Anastasy [175]
3 years ago
5

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water

remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0
<span>The table must show: Time (minutes) number of gallons remaining X y 0 Yo 1 Yo – 1.5 2 Yo – 2*1.5 3 Yo – 3*1.5 4 Yo – 4*1.5 And the equation will be ; Y = Yo – 1.5 x, where Yo is the initial amount of water in the bathtub.</span>
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Answer:

<h2>cosecθ = 1/sinθ = 11/6√2</h2>

Step-by-step explanation:

Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

adjacent = 7 and hyp = 11

Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

hyp^{2} = adj^{2}  + opp ^{2}  \\opp = \sqrt{hyp^{2} - adj^{2}  } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ\neq 1/cosθ but cscθ = 1/sinθ

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Notice that we can reduce this by dividing the 8 by the 2 and dividing the 6 by the 3:                                                4*3*3             36
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