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gulaghasi [49]
3 years ago
8

Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of

Mathematics
1 answer:
torisob [31]3 years ago
6 0

Step-by-step explanation:

 The volume of a cone can be derived by writing an expression that represents the volume of one cone within the cylinder.

the expression for the volume of a cylinder is

volume-of-cylinder= \pi r^2h

the volume of a cone is a part of the volume of a cylinder

volume-of-cone= \frac{1}{3} \pi r^2h

Hence the volume of a cone can be derived by dividing the volume of a cylinder by 3

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Write the property that matches the equation.<br> 3+(4+7)=(3+4)+7
miss Akunina [59]

Answer:

associative property

Step-by-step explanation:

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3 years ago
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Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?
Hunter-Best [27]
There isn't any choices given in this problem but I can give you a tip to answer these kinds of problem. When you say independent, it means that the equation cannot be algebraically altered to result to 3x + 4y = 8. So the equation 6x + 8y = 16 is not an independent equation since when you divide each side by 2 it will result to 3x + 4y =8. You get the idea. <span />
6 0
3 years ago
Duncan rode 2 kilometers on his bike.Harold rode twice as far as Duncan and Sara combined. How many kilometers did the three fri
xz_007 [3.2K]

Answer:

Total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

Step-by-step explanation:

Let D denotes the distance that Duncan covered on his bike.

Let H denotes the distance that Harold covered on his bike.

Let S denotes the distance that Sara covered on her bike.

Duncan rode 2 kilometers on his bike.

Mathematically,

D = 2 km

Harold rode twice as far as Duncan and Sara combined.

Mathematically,

H = 2(D + S)

H = 2(2 + S)

H = 4 + 2S

The distance covered by three friends all together is  

D + H + S

We don’t have enough information at this point to find out the total distance covered by all of them, so we need to assume the distance covered by Sara.

Assuming that Sara covered 0 km then

H = 4 + 2(0)

H = 4

Then total distance is

D + H + S

2 + 4 + 0

6 km

But 6 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 2 km then

H = 4 + 2(2)

H = 8

Then total distance is

D + H + S

2 + 8 + 2

12 km

But 12 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 3 km then

H = 4 + 2(3)

H = 10

Then total distance is

D + H + S

2 + 10 + 3

15 km

Assuming that Sara covered 8 km then

H = 4 + 2(8)

H = 20

Then total distance is

D + H + S

2 + 20 + 8

30 km

Therefore, the total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

6 0
3 years ago
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Answer:

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Answer:

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