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liq [111]
3 years ago
10

madeline takes her family on a boat ride. going through york canal, she drives 6 miles in 10 minutes. later she she crosses anot

her lake, she drives 30 minutes at the same average speed. which statement is true? a. the distance traveled is 3 times the distance on the other lake b. the distance in york canal is 1/3 the distance traveled in the orher lake c. the distance traveled in york canal is 20 miles leas than the distance of the other d. the distances are the same for each
Mathematics
2 answers:
jek_recluse [69]3 years ago
7 0
B. The distance in york canal is 1/3 the distance traveled in the other lake.
Alex777 [14]3 years ago
7 0
<h2>Answer:</h2>

Option B is correct.

Step-by-step explanation:

Given information is :

Madeline takes her family on a boat ride. She drives 6 miles in 10 minutes through York canal.

Later Madeline crosses another lake, and drives 30 minutes at the same average speed.

So, we know that the speed is same but distance is different.

Now, in 10 minutes Madeline travels 6 miles so, in 30 minutes she will have traveled \frac{6}{10}*30 =18 miles.

Or we can say that distance in York canal is one third the distance of other canal means \frac{1}{3}*18=6 miles.

Therefore, option B is correct.

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WINSTONCH [101]

Option C:

We can find the value of PR using law of cosines.

Solution:

Given data:

∠Q = 18°, r = 9.5, p = 6.0

To find which length could be find in the triangle:

Law of cosines:

a^{2}=b^{2}+c^{2}-2 b c \cos A

Substitute a = q, b = r, c = p and A = Q

q^{2}=r^{2}+p^{2}-2 r p \cos Q

If we substitute the values given, we can find q.

q = PR

PR^{2}=r^{2}+p^{2}-2 r p \cos Q

Hence we can find the value of PR using law of cosines.

Option C is the correct answer.

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