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Nostrana [21]
2 years ago
13

you can read an average of 40 pages per night. if you have already read 120 pages, how many more nights will it take to read a 5

52 page book?
Mathematics
1 answer:
gtnhenbr [62]2 years ago
4 0

Answer:

10.8

Step-by-step explanation:

first, you subtract 552 and 120 to find the remaining of pages there is left.

552-120=432

now, since we know how much is left, all we have to do is divide it with 40.

432÷40=10.8

so, it will take 10.8 days to finish reading the book.

*edit

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Katyanochek1 [597]

Write tan in terms of sin and cos.

\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}

Recall that

\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

Rewrite and expand the given limand as the product

\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

4 0
1 year ago
Suppose you know the perimeter of n octagons arranged as shown. What would you do to find the perimeter if 1 more octagon was ad
kogti [31]

As shown in the figures given :

For Figure 1 : perimeter = 8 units   [As can be seen in the figure]

For figure 2(with 2 octagons) : perimeter = 8 × 2 - 1 = 15 units    [since 1 side is common ]

For figure 2(with 3 octagons) : perimeter = 8 × 3 - 2 = 22 units  [since 2 sides is common ]

If one more octagon is added

then perimeter = 8 × 4 - 3 = 29 units    [since 3 sides will be common ]


3 0
3 years ago
A helicopter hovers 500 feet above a small island. The figure shows that the angle of
Tamiku [17]

Answer:

435 ft

Step-by-step explanation:

Reference angle = <P = 49° (angle of elevation)

Opposite side = 500 ft

Adjacent side = d = ?

Apply trigonometric function, TOA.

This:

Tan P = opp/adj

Tan 49 = 500/d

d × Tan 49 = 500

d = 500/Tan 49

d = 434.643369 ≈ 435 ft (to the nearest foot)

6 0
2 years ago
Which ordered pair is a solution of the equation? −7x+3y=2
lana66690 [7]
Answer:

(-2/7, 2/3)

step-by-step explanation:
-7x + 3y = 2
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y = 2/3
y = 0
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/-7 /-7
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3 years ago
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Is (3, 4) a solution of y &lt; 4x – 2 ?
telo118 [61]

Answer:

Step-by-step explanation:

6 0
2 years ago
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