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Elis [28]
3 years ago
8

What is the approximate capacity of the cube in liters? 75mm 75mm 75mm -cube

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

  0.422 L

Step-by-step explanation:

A little-used fact is that a <em>liter</em> is a <em>cubic decimeter</em>. The dimensions of your cube are ...

  edge length = 75 mm = 75/1000 m

Since a decimeter is 1/10 of a meter, we want the denominator to be 10. Moving the numerator and denominator decimal points 2 places to the left, we get ...

  edge length = 0.75/10 m = 0.75 dm

Then the volume of the cube is ...

  V = (0.75 dm)^3 = 0.422 dm^3 = 0.422 L

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7 0
3 years ago
On Mars the acceleration due to gravity is 12 ft/sec^2. (On Earth, gravity is much stronger at 32 ft/sec^2.) In the movie, John
insens350 [35]

Solution :

Given initial velocity, v= 48 ft/s

Acceleration due to gravity, g = $12\ ft/s^2$

a). Therefore the maximum height he can jump on Mars is

     $H_{max}=\frac{v^2}{2g}$

     $H_{max} = \frac{(48)^2}{2 \times 12}$

               = 96 ft

b). Time he can stay in the air before hitting the ground is

   $T=\frac{2v}{g}$

  $T=\frac{2 \times 48}{12}$

     = 8 seconds

c).  Considering upward motion as positive direction.

     v = u + at

We find the time taken to reach the maximum height by taking v = 0.

     v = u + at

     0 = 16 + (12) t

     $t=\frac{16}{12}$

        $=\frac{4}{3} \ s$

We know that, $S=ut + \frac{1}{2}at^2$

Taking t =  $=\frac{4}{3} \ s$  , we get

$S=16 \times\frac{4}{3} + \frac{1}{2}\times(-12) \times \left(\frac{4}{3}\right)^2$

$S=\frac{32}{3}$  feet

Thus he can't reach to 100 ft as it is shown in the movie.

d). For any jump whose final landing position will be same of the take off level, the final velocity will be the initial velocity.

Therefore final velocity is = -16 ft/s

3 0
3 years ago
What’s the approximate circumference of a circle with radius 10 feet?
Elis [28]

Answer: C≈62.83ft

Step-by-step explanation:

simply take your radius and times it by 2 and you get 20. then times twenty by pi.

8 0
3 years ago
Read 2 more answers
A line segment is defined by which of the following statements?
kaheart [24]

The only given option that correctly defines a line segment is;

<u><em>Option C; All points between and including two given points.</em></u>

      In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.

Now, let us look at the options;

Option A; This is not correct because a line segment must have 2 distinct endpoints

Option B; This is not correct because a line segment is a part of a line and not a set of points.

Option C; This is correct because it tallies with our definition of line segment.

Option D; This is not correct because a line segment does not extend infinitely.

Read more at; brainly.com/question/18089782

7 0
2 years ago
Mke y the subject of the formula.<br> w=x^2-2yz
charle [14.2K]

Answer:

W = x^2 - 2yz / - w

0 = x^2 - 2yz - w / +2yz

2yz = x^2 - w // 2z

y = (x^2 -w ) / 2z

So correct answer is D

7 0
3 years ago
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