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3 years ago

Geometry The volume of a cube is related to the area of a face by the formula V= A2.

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

4 0

Given :

The volume of a cube is related to the area of a face by the formula $V=A^2$ .

To Find :

The volume of a cube whose face has an area of 100 cm.

Solution :

Area is :

A = 100 cm.

Putting value of A in given equation of volume.

We get :

$V=100^2\ cm^2\\\\V=10000\ cm^2$

Therefore, volume of cube is 10000 cm².

Hence, this is the required solution.

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Exercise 10.10.2: Distributing a coin collection. About A man is distributing his coin collection with 35 coins to his five gran

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Given that:

all coins are same;

The same implies that the number of the non-negative integral solution of the equation:

$x_1+x_2+x_3+x_4+x_5 = 35$

$x_1 > 0 ; \ \ \ x_1 \ \varepsilon \ Z$

Thus, the number of the non-negative integral solution is:

$^{(35+3-1)}C_{5-1} = ^{39}C_4$

(b)

Here all coins are distinct.

So; the number of distribution appears to be an equal number of ways in arranging 35 different objects as well as 5 - 1 - 4 identical objects

i.e.

$= \dfrac{(35+4)!}{4!}$

$= \dfrac{39!}{4!}$

(c)

Here; provided that the coins are the same and each grandchild gets the same.

Then;

$x_1+x_2+x_3+x_4+x_5 = 35$

$x_1 > 0 ; \ \ \ x_1 \ \varepsilon \ Z$

$x_1=x_2=x_3=x_4=x_5$

$5x_1 = 35\\\\ x_1= \dfrac{35}{5} \\ \\ x_1= 7$

Thus, each child will get 7 coins

(d)

Here; we need to divide the 35 coins into 5 groups, this process will be followed by distributing the coin.

The number of ways to group them into 5 groups = $\dfrac{35!}{(7!)^55!}$

Now, distributing them, we have:

$\mathbf{\dfrac{35!}{(7!)^55!} \times 5!= \dfrac{35!}{(7!)^5}}$

3 0

2 years ago

If {4x-3y=17 and 2x-5y=-11 then y=?

anyanavicka [17]

You need to solve this "system of linear equations." In other words, find a point (x,y) that satisfies both 4x-3y=17 and 2x-5y=-11.

Try solution by elimination. Multiply the 2nd equation by -2 to obtain -4x+5y=22. Add this result to the 1st equation. I'd suggest you write this out to see what is happening.

4x-3y=17

-4x+10y=22
----------------
7y=39. Solving for y, we get y=39/7 (a rather awkward fraction).

Now find x. To do this, substitute 39/7 for y in either of the given equations. Solve the resulting equation for x.

Write your solution in the form (x, y): ( ? , 39/7).

3 0

2 years ago

HELP ‼️‼️ill give you brainliest

mezya [45]

What is the topic about

8 0

3 years ago

What are the determinants for solving this linear system? 5x + 3y = 17 −8x − 3y = 9 |A| = |Ax| = |Ay| =

valentina_108 [34]

For this case we have the following system of equations:

$5x + 3y = 17\\-8x - 3y = 9$