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Novosadov [1.4K]
3 years ago
12

Suppose you are hiking along a trail. make a comparison between the magnitude of your displacement and your distance traveled.

Mathematics
2 answers:
jekas [21]3 years ago
8 0
Displacement is a vector quantity in such a way that it only takes into account the final and initial position of a body while the distance takes into account all the distances that have been traveled. When the trail is a straight line, the magnitude of the displacement and distance should only be the same. 
matrenka [14]3 years ago
6 0
When you are hiking along a trail, you will be taking some turns and not all direction will going up, some will be even horizontal. The distance you will travel will be the total length you walked along the trail. The displacement is the just distance between your starting point and where your final destination is.
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In 5043 what number is in the hundreds place? please hurry! thank you!
timurjin [86]

Answer:

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Step-by-step explanation:

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2 years ago
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An air conditioning system can circulate 320 cubic feet of air per minute. How many cubic yards of air can it circulate per minu
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Step-by-step explanation:

It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?

1 yard = 3 foot

1 feet = (1/3) yard

320 feet = 106.66 yard

320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3

So, it will circulate 11.85 cubic yard of air per minute.

5 0
3 years ago
michael borrowed $4,500 from the bank. the back charged a simple interest rate of 10.5% for the 3 years he had the back loan. wh
elixir [45]

Answer:

$1417.50+$4500= 5917.50

4 0
3 years ago
In triangle ABC, c is the hypotenuse, 0=25°, and b =3, Find the length of c ?
Charra [1.4K]

Answer:

\large\boxed{c\approx3.31}

Step-by-step explanation:

Use cosine:

cosine=\dfrac{adjacent}{hypotenuse}

\cos\theta=\dfrac{b}{c}

We have:

\theta=25^o\to\cos25^o\approx0.9063\\\\b=3

Substitute:

\dfrac{3}{c}=0.9063

\dfrac{3}{c}=\dfrac{9063}{10000}          <em>cross multiply</em>

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8 0
3 years ago
The scores on an achievement test are normaly distributed with mean µ = 100 and standard deviation σ = 100. What should the scor
ser-zykov [4K]

Answer:

the student should score atleast 229 to be among the top 10%.

Step-by-step explanation:

in terms of the normal distribution, and if the table that you're using calculates the area of the normal distribution from the mean to a point x, only then what we are actually finding the value 'x' at which the z-score is at 40% (the rest 50% is already skipped by the table)

P(0.4) = \dfrac{x - \mu}{\sigma}

after finding the the value at this z-score, we can find the value of x at which the score is in the top 10% range.

we can find the z-score either using a normal distribution table or calculator. (but be sure what area is it calculating)

looking at the table the closest value we can find is, 0.4015 at z = 1.29 ((it is above 40% because we want to be in the top 10% range)

P(0.4015) = \dfrac{x - 100}{100}

1.29 = \dfrac{x - 100}{100}

x = 1.29(100) + 100

x = 229

the student should score atleast 229 to be among the top 10%.

7 0
3 years ago
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