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Snezhnost [94]
3 years ago
13

One edge of a cube measures 4.6 meters. What is the volume of the cube?

Mathematics
2 answers:
Serjik [45]3 years ago
6 0

A cube has all its 12 edges equal. Its volume is V=base\;area*height.

Base area of cube of side a is a^2.

The volume of a cube is V=a^3.

Here a=4.6\;m.

Now substitute the numerical value of a in the volume formula, then

V=4.6^3\\ V=97.336.

Thus the volume of the cube is 97.336\;m^3.


Oliga [24]3 years ago
3 0
97.336 is the answer i found it on a calculator, hope it helps :)
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2. A circle of radius 12 units is divided into 8 congruent slices.
adelina 88 [10]

Answer:

a: 18pi

b: 3pi

Step-by-step explanation:

part a:

total area = 12^2*pi = 144pi

144pi/8 = 18pi

part b:

total circumference = 12*2*pi = 24pi

24pi/8 = 3pi

3 0
3 years ago
The prime factor decomposition of 2021 is 43 × 47. What is the value of 53 × 57 ?
Goryan [66]

Answer:

Step-by-step explanation:

3021

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2 years ago
The diagonals of quadrilateral EFGH intersect at D(?3,4). EFGH has vertices at E(3,7) and F(?4,5). What must be the coordinates
Katen [24]

Answer:

  G(3, 1), H(2, 3)

Step-by-step explanation:

When D is the midpoint of EG, it means ...

  D = (E + G)/2

or

  G = 2D -E = 2(3,4) -(3,7) = (2·3-3, 2·4-7) = (3, 1)

Likewise, H is ...

  H = 2D -F = 2(3,4) -(4,5) = (2·3-4, 2·4-5) = (2, 3)

5 0
3 years ago
Valarie used a laser to measure the average thickness of a human hair which is 0.0032 meters thick. A grain of sand is 0.0024 me
Liono4ka [1.6K]

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A human hair is 0.0008 meters thicker.

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Step-by-step explanation:

7 0
3 years ago
Three times as many children as adults attended a concert on Saturday. An adult ticket cost $7 and a child’s ticket cost $3. The
Ierofanga [76]

For this case we propose a system of equations:

x: Let the variable representing the number of children in the concert

y: Let the variable representing the number of adults at the concert

According to the assistance we have:

x = 3y

According to the cost we have:

3x + 7y = 6000

Substituting the first in the second equation we have:

3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375

Thus, the concert was 375 adults.

On the other hand we have:

x = 3 (375) = 1125

Thus, the concert was 1125 children.

In total they were:

375 + 1125 = 1500 people

ANswer:

The concert was 1500 people

3 0
3 years ago
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