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3 years ago

A student walks 3 blocks south 4 blocks west and 3 blocks north what is the displacement

Mathematics

2 answers:

choli [55]3 years ago

7 0

Answer: The displacement of the student is 4 blocks.

Step-by-step explanation:

Displacement is defined the shortest distance traveled by an object.

We are given:

A student is walking 3 blocks to the south, then he is moving 4 blocks to the west and finally he is moving 3 blocks to the north.

The displacement will be the distance of OC which is 4 blocks.

Block diagram of the movement of student is shown below.

Hence, the displacement of the student is 4 blocks.

AURORKA [14]3 years ago

6 0

Answer:

4 blocks west

Step-by-step explanation:

In (North, East) coordinates, the sum of the distances is ...

... (-3, 0) +(0, -4) +(3, 0) = (-3+0+3, 0-4+0) = (0, -4)

The net displacement is 4 blocks west.

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3 years ago

The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than

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Answer:

8 times larger.

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

Let radius of the small sphere =  $x$ 

As the radius of the large sphere is double the radius of the small sphere:

Then, radius of the large sphere = $2x$

To find that how many times is the volume of the large sphere than the small sphere, we will divide the volume of large sphere by volume of small sphere:-

For smaller sphere: $Radius = x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi x^{3}$

For larger sphere: $Radius = 2x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi (2x)^{3}$

Now, we will divide volume of the larger by the smaller one:

$=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\ \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\ \times\frac{1}{x^{3} }$