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3 years ago

The volume of a cube is 8cm3, find the length of one of it's sides

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

7 0

Answer:

The side length is 2 cm

Step-by-step explanation:

The volume of a cube is s^3

V = s^3

8 = s^3

Take the cube root of each side

8 ^ 1/3 = s^3 ^ 1/3

2 = s

The side length is 2 cm

frozen [14]3 years ago

3 0

Answer:

2 cm

Step-by-step explanation:

The volume of a cube can be found using the following formula:

V=s^3

where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V.

8 cm^3=s^3

We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3.

(8 cm^3)^1/3=(s^3)^1/3

(8 cm^3)^1/3=s

2 cm=s

The length of one side is 2 centimeters.

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On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7), and (6, 4). what is the area of the shape if

QveST [7]

Let
A (3, 1)
B (0, 4)
C(3, 7)
D (6, 4)

step 1
find the distance AB
d=√[(y2-y1)²+(x2-x1)²]------> dAB=√[(4-1)²+(0-3)²]-----> dAB=√18 cm

step 2
find the distance CD
d=√[(y2-y1)²+(x2-x1)²]------> dCD=√[(4-7)²+(6-3)²]-----> dCD=√18 cm

step 3
find the distance AD
d=√[(y2-y1)²+(x2-x1)²]------> dAD=√[(4-1)²+(6-3)²]-----> dAD=√18 cm

step 4
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> dBC=√[(7-4)²+(3-0)²]-----> dBC=√18 cm

step 5
find slope AB and CD
m=(y2-y1)/(x2-x1)
mAB=-1
mCD=-1
AB and CD are parallel and AB=CD

step 6
find slope AD and BC
m=(y2-y1)/(x2-x1)
mAD=1
mBC=1
AD and BC are parallel and AD=BC
and
AB and AD are perpendicular
BC and CD are perpendicular

therefore
the shape is a square wit length side √18 cm

area of a square=b²
b is the length side of a square
area of a square=(√18)²------> 18 cm²

the answer is
18 cm²

see the attached figure

6 0

3 years ago

Please help me. I don’t understand at all.

erastovalidia [21]

Answer:

Option 2

Step-by-step explanation:

Evaluating the options :

Option 1

2 |x - 5| - 4 < -8
2 |x - 5| < -4
|x - 5| < -2
Empty set as modulus cannot be less than 0

Option 2

|2x - 1| - 7 < -6
|2x - 1| < 1
x < 1
There is a solution set other than empty set

Option 2 is the right answer.

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2 years ago

Which describes the number and type of roots of the equation 4x^3-6x^2+15x+2=0?

pashok25 [27]

Answer: Non of the option.

Step-by-step explanation:

The given equation is

4x^3 - 6x^2 + 15x + 2 = 0

Let's test 1, if it's one of the root. I.e

If x = 1

4 - 6 + 15 + 2 = 15

Positive 1 is not a root to the equation

If x = - 1

-4 - 6 - 15 + 2 = - 23

Negative 1 is not a root

If x = 2

4x8 - 6×4 + 15×4 + 2

32 - 24 + 30 + 2 = 40

Positive 2 is not a root

If x = - 2

4×(-8) - 6×4 - 15×2 + 2

-32 - 24 - 30 + 2 = -84

Negative 2 is not a root

If x = 3

4×27 - 6×9 + 15×3 + 2

108 - 54 + 45 + 2 = 101

Since non of them tend to zero, non of the option is a root of the equation

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3 years ago

What od linear algebra exactly?

Alex73 [517]

Answer:

Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.

<h3>mark me a brainlist</h3>

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Answer:

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Step-by-step explanation:

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3 years ago

The volume of a cube is 8cm3, find the length of one of it's sides​

The volume of a cube is 8cm3, find the length of one of it's sides