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laila [671]
2 years ago
9

Seventeen lines drawn in a plane, with no three concurrent and no two parallel, divide the plane into

Mathematics
2 answers:
stiks02 [169]2 years ago
4 0

Answer:

120

Step-by-step explanation:

Make a chart:

Lines:                  0   1    2   3  4   5   6

Closed regions: 0   0   0   1   3   6   10

Find the number of numbers using the formula:

\frac{first term + last term}{2} x 14 = \frac{2 + 15}{2} x 14

                                  = 8.5 x 14

                                  = 119

119 + 1 = 120

(add 1 because we didn't count the first line in the formula)

I hope this helps :)

alexdok [17]2 years ago
3 0
120 would most likely be your answer but
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3 years ago
Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
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Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

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So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

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Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

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We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

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Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

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