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3 years ago

How many cubes each of 2 cm length can be kept inside of a cube of 6 CM length

Mathematics

1 answer:

Vladimir [108]3 years ago

5 0

Answer:

Hence 27 cubes can be obtained.

Step-by-step explanation:

Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3

Volume of cube of side 6cm = 216cm^3

Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes

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Select the number that would make this statement true: 628 divided by 0.628

Amiraneli [1.4K]

The answer would be 10 to the third because if you divide that it would equal 1,000

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3 years ago

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

4 years ago

The table show whether a bus pass is a child’s or adult’s pass and whether it is a daily or monthly pass

PolarNik [594]

Answer:

50.8%

Step-by-step explanation:

That is the one my friend and I chose. It is 31/61 when all the stuff is added together and that is put to 50.8 as a percentage..

3 0

3 years ago

A Family purchased tickets to the movies in spent a total of $40.75. The family purchase five tickets there was a $.90 processi

muminat

Answer:

$7.25

Step-by-step explanation:

Total amount spent on the ticket = $40.75

Number of ticket purchased = 5

Processing fee per ticket = $0.90

Unknown:

Cost of each ticket = ?

Solution:

To solve this problem, we need to find the processing fee for the 5 tickets purchase;

Processing fee = number ticket x processing fee per ticket

Processing fee = 5 x 0.9 = $4.5

Now, the real cost a ticket = $40.75 - $4.5 = $36.25

So, cost per ticket is;

Cost = $\frac{36.25}{5}$ = $7.25

7 0

3 years ago

Justo ayer fue el cumpleaños de Mauricio. Si a la edad e Mauricio, le sumo 13, al resultado le resto 10, luego al nuevo resultad

bezimeni [28]

Answer:

Mauricio nació en el año 2000.

Step-by-step explanation:

Supóngase que el cumpleaños se celebra en el año 2020, si $x$ es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es:

$\frac{(x+13)-10}{23} +20 = 21$

Ahora, se desarrolla y se simplifica la ecuación:

$\frac{x+3}{23}+20 = 21$

$\frac{x+3}{23} = 1$

Se despeja $x$ :

$x +3 = 23$

$x = 20$

Mauricio tiene 20 años.

Ahora, el año de nacimiento de Mauricio es la sustracción de la edad de Mauricio del año actual:

$y = 2020-20$

$y = 2000$

Mauricio nació en el año 2000.

3 0

3 years ago

How many cubes each of 2 cm length can be kept inside of a cube of 6 CM length​

How many cubes each of 2 cm length can be kept inside of a cube of 6 CM length