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tigry1 [53]
2 years ago
12

the national park service is building a 16 mile hiking trail. They will post a sign every 1/8 mile along the trail, including on

e at the end. There will not be a sign posted at the beginning of the trail. How many signs will they post along the trail?
Mathematics
2 answers:
Andreyy892 years ago
7 0

Answer: There are 2 signs will be posted along the trail.

Step-by-step explanation:

Since we have given that

Total length of hiking trail = 16 miles

They will post a sign every \dfrac{1}{8}\ mile along the trail, including one at the end.

No sign posted at the beginning of the trail.

Number of signs will be posted along the trail is given by

\dfrac{1}{8}\times 16\\\\=2

Hence, there are 2 signs will be posted along the trail.

lesya [120]2 years ago
3 0
The nation park will post 128 sign post

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A pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm, and 96 cm but does not resonate at any wave
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Answer:

A Pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm and 96 cm but does not resonate at any wavelengths longer than these. This pipe is:

A. closed at both ends

B. open at one end and closed at one end

C. open at both ends.

D. we cannot tell because we do not know the frequency of the sound.

The right choice is:

B. open at one end and closed at one end .

Step-by-step explanation:

Given:

Length of the pipe, L = 120 cm

Its wavelength \lambda_1 = 480 cm

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We have to find whether the pipe is open,closed or open-closed or none.

Note:

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So,

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For one side open and one side closed pipe:

An odd-integer number of quarter wavelength have to fit into the tube of length L.

⇒  \lambda_2=\frac{4L}{3}                                   ⇒  \lambda_3=\frac{4L}{5}

⇒ \lambda_2=\frac{4(120)}{3}                              ⇒  \lambda_3=\frac{4(120)}{5}

⇒ \lambda_2=\frac{480}{3}                                  ⇒  \lambda_3=\frac{480}{5}

⇒ \lambda_2=160\ cm                           ⇒   \lambda_3=96\ cm  

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The speed of the fox should be greater than the rabbit's speed in other to catch up, Hence, the speed of the fox must be 35/t + 40

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In other to obtain a specific speed for the fox, the time at which the fox is required to catch up with the rabbit should be given.

Let the time = t

Recall :

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Rabbit's distance from fox after time t will be :

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From home, Mary’s work is two thirds along the way to training. Training is 2.5km from work. Mary normally goes to work, then tr
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Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,

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Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°
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Answer:

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