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2 years ago

A cube has a volume of 125 in3. find the side length of this cube in inches.

Mathematics

1 answer:

Novay_Z [31]2 years ago

8 0

Answer:

5 inches

Step-by-step explanation:

The formula for a cube's volume is its side length cubed. So to get the side length when given the volume, you can take the cube root of the volume. $\sqrt[3]{125} = 5$ inches.

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Oil has a volume of 9000cm cubed and a density of 0.8g/ cm cubed. what is the mass of the oil?

OlgaM077 [116]

Density = 0.8 g/cm³

Volume = 9000 cm³

D = m / V

0.8 = m / 9000

m = 0.8 x 9000

m = 7200 g

hope this helps!

5 0

3 years ago

Which of the below descriptions shows a possible HAMILTON PATH?

ra1l [238]

Option B: FECBAD represents the Hamilton path

Explanation:

The vertices in the given graph are A,B,C,D,E and F

We need to determine the Hamilton path of the given graph.

By definition, we know that a Hamilton path touches each and every vertex in a graph exactly once.

Hence, we need to connect the vertices in such a way that the graph touches each and every vertex exactly once.

Option A: EFADECBA

From this description, we can see that the path starts from the vertex E and connects all the vertices but some of the vertices are repeated twice.

Hence, the path EFADECBA is not a Hamilton path.

Therefore, Option A is not the correct answer.

Option B: FECBAD

From this description, we can see that the path starts from the vertex F and connects all the vertices exactly once.

Hence, the path FECBAD is the Hamilton path.

Therefore, Option B is the correct answer.

Option C: ADEFBC

From this description, we can see that the path starts from the vertex A and connects all the vertices but the path from F to B has to touch the vertex A. Thus, the vertices are repeated twice.

Hence, the path ADEFBC is not a Hamilton path.

Therefore, Option C is not the correct answer.

Option D: ADECBAFE

From this description, we can see that the path starts from the vertex A and connects all the vertices but some of the vertices are repeated twice.

Hence, the path ADECBAFE is not a Hamilton path.

Therefore, Option D is not the correct answer.

6 0

3 years ago

If the roots of a quadratic equation are 1±√5, then the product of the roots is

Drupady [299]

The plus-minus sign represents that there are two possible outcomes.

In this case, we have $1 \pm \sqrt{5}$ . When we branch out the possibilities we got 2 values: $1 + \sqrt{5}$ and $1 - \sqrt{5}$

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.

When we multiply them: $(1 + \sqrt{5}) \times( 1 - \sqrt{5})$

When we FOIL the we get: $1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}$

Simplify:
$1 - \sqrt{5} + \sqrt{5} - 5$
$1 - 5 = 6$

So the product of the two roots of this equation is 6.

5 0

3 years ago

Read 2 more answers

"Find x" I managed to get -6/2c, I just want to double check if that is correct

Soloha48 [4]

- 6/2c is the correct solution

collect like terms : 3cx - cx = 2cx

hence 2cx = - 6

dividing both sides by 2c gives x = - 6/2c

7 0

3 years ago

What is the theoretical probability a fair coin will land on tails?

Harman [31]

There are two sides in a coin so the chance of getting tails is 1/2, which would be 0.5.

I'm not sure tho.

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3 years ago

A cube has a volume of 125 in3. find the side length of this cube in inches.​

A cube has a volume of 125 in3. find the side length of this cube in inches.