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Lerok [7]
3 years ago
10

A library charges $0.10 a day in late fees for each book Sydney returned 4 books that were 17days late and 3 books that were 23

days late. How much did Sydney owe in late fees ?
Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

Answer: $13.70



Step-by-step explanation:

.10* 17= 1.7, because $.10 is charged for everyday the book is late and the books were 17 days late.

1.7* 4= 6.8, because there were four books that were 17 days late.


.10* 23= 2.3, because $.10 is charged for everyday the book is late and the books were 23 days late.

2.3* 3= 6.9, because there were three books that were 23 days late.


6.8+6.9= 13.70 is the amount of money Sydney had to pay the library for her late books.

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6. If you draw 35 lines on a piece of paper so that no two lines are parallel to each
umka2103 [35]

The point of intersection is the point where lines intersect.

<em>There will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>

<em />

Given

<em />n = 35<em> --- the number of lines</em>

<em />d = 3<em> --- no three lines are concurrent</em>

<em />

When no three line are concurrent, it means that no three lines meet at the same point.

<u>So, the sequence of intersection is:</u>

  • <em>0 intersection for 1 line</em>
  • <em>1 intersection for 2 lines</em>
  • <em>3 intersections for 3 lines</em>
  • <em>6 intersections for 4 lines</em>

<em />

Following the above sequence, the number of intersections for n lines is:

n_k = \frac{n \times (n - 1)}{2}

In this case, n = 35.

So, we have:

n_k = \frac{35 \times (35 - 1)}{2}

n_k = \frac{35 \times 34}{2}

n_k = 35 \times 17

n_k = 595

<em>Hence, there will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>

<em />

Read more about lines of intersections at:

brainly.com/question/22368617

7 0
2 years ago
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Hard math plz help!!!!!!!! PLZ NEED IT QUICK
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Answer:

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Step-by-step explanation:

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2 years ago
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Regular hexagon FGHIJK shares a common center with square ABCD on a coordinate plane. AB || FG. Across which line can be combine
nlexa [21]

Answer:  The answer is the yellow lines in the attached figure.


Step-by-step explanation:  As shown in the attached figure, regular hexagon FGHIJK and square ABCD shares common centre on the co-ordinate plane and AB || FG.

We are to find the line across which the combined figure will reflect onto itself.

In the attached figure, we see two lines which are yellow in colour. We can easily detect that the figure will be reflected onto itself if these two lines acts as a mirror separately.

Hence these yellow lines are the required lines.


6 0
3 years ago
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Inessa05 [86]

Answer:

a= 20

b= 169.7

c= 29.71

Step-by-step explanation:

The formula of a triangle is (h*b)/2

a= (5*8)/2

b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2

c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2

4 0
2 years ago
Work out length AC.
Yuki888 [10]

Answer: \sqrt{105}

Step-by-step explanation:

As a result of the pythagorean theorem we can say that a^2+b^2=c^2

In this case, we have bc and ab missing side ac. So the equation looks something like this 4^{2}+ac^{2} =11^2

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