All categories

3 years ago

The volume of a cube is 9000 m3. If the volume of the cube was measured in cm3, which would change?

1 answer:

3 0

There are 100 cm in 1 m
this is m^3
so (1m)^3 = (100cm)^3
1m^3 = 1000000 cm^3 or 10^6 cm^3

so if the volume of the cube was measured in cm^3
it would be 10^6 times larger
(9000 times 10^6)

You might be interested in

The first truck in a convoy will carry 12 tons of dirt while each additional truck will carry 8 tons of dirt. Write a rule to mo

Mashutka [201]

12 + 8n = t

68 tons of dirt will be hauled

6 0

3 years ago

Solve this equation. <br> Leave the answer as an improper fraction. <br> 3x^2 + 2 = 11 - x^2

Nikolay [14]

Answer:

$x = \frac{3}{2}orx=-\frac{3}{2}$

Step-by-step explanation:

The given Equation is

$3x^{2} + 2 = 11-x^{2}$ .................(i)

Adding ( $x^{2} -11$ ) on both sides of (i)

$3x^{2}+2+x^{2}-11 = 11-x^{2}+x^{2}-11$

solving and cancelling out the terms will give

⇒ $4x^{2} -9=0$

⇒ $(2x)^{2} -(3)^{2} = 0$ ...................(ii)

Now we Know that

$(a)^{2} -(b)^{2} = (a-b)(a+b)$

Applying this on equation (ii)

$(2x-3)(2x+3)=0$

This will lead us to

Either 2x-3 =0 .......(iii) or 2x+3=0 ..........(iv)

Solving equation (iii) for value of x

2x - 3 =0

adding 3 on both sides

2x -3 +3 = 0+ 3

2x = 3

Cross multiplying gives

$x=\frac{3}{2}$

Solving equation (iv) for value of x

2x + 3 =0

adding -3 on both sides

2x -3 +3 = 0- 3

2x = -3

Cross multiplying gives

$x=\frac{-3}{2}$

so $x=\frac{3}{2}$ and $x=\frac{-3}{2}$

7 0

3 years ago

please help me find these answers! Ill give brainliest and 5 stars ill make sure to thank you! just please help im suffering ove

Damm [24]

Answer:

4: 3 1/4 inches

5: 13 inches

Step-by-step explanation:

4 0

3 years ago

(x³ + ³) / (x - y)<br> Do not include parentheses in your answer.

Lubov Fominskaja [6]

The simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

<h3>Complete question</h3>

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x^3 + (-y)^3}{(x - y}$

Open the inner bracket

$\frac{x^3 -y^3}{(x - y}$

Apply the difference of two cubes to the numerator

$\frac{(x-y)(x^2+xy+y^2)}{(x - y}$

Cancel out the common factors

$x^2+xy+y^2$

Hence, the simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

Read more about expressions at:

brainly.com/question/723406

#SPJ1

4 0

2 years ago

18. A glasscutter needs to cut rectangular pieces of

ololo11 [35]

For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:

All four interior angles = 90° each.
Opposite sides are parallel and equal to each other.
Diagonals should be of the same length and should bisect each other.

<h3>Properties of a Rectangle</h3>

All four angles of a rectangle are 90° each.
There are two pairs of parallel sides that are equal in length.
The diagonals bisect each other and are of equal length.

Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:

Make the four interior angles 90° each.
The opposite sides should be parallel and equal to each other.
The diagonals should be of the same length and should bisect each other.

Learn more about properties of rectangle on:

brainly.com/question/2835318

4 0

3 years ago