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DerKrebs [107]
3 years ago
7

A cone with a radius of 6 cm has a volume of 1200 cm3. What is the height of the cone? (The volume of a cone is given by the for

mula V = 7er A) 8 cm B) 10 cm 12 cm D) 15 cm​
Mathematics
2 answers:
Gwar [14]3 years ago
7 0
  • A cone with a radius of 6 cm has a volume of 1200 cm³. What is the height of the cone?(The volume of a cone is given by the formula V = 7er)

  1. A) 8 cm
  2. B) 10 cm
  3. C) 12 cm ✔️✅✔️
  4. D) 15 cm

  • <em>HOPE</em><em> IT</em><em> WILL</em><em> HELP</em><em> YOU</em>
Rina8888 [55]3 years ago
5 0

Answer:

  • 31.8 cm

Step-by-step explanation:

<u>Volume of a cone:</u>

  • V = 1/3πr²h

<u>We have:</u>

  • V = 1200 cm³
  • r = 6 cm
  • h = ?

<u>Substitute values and solve for h:</u>

  • 1200 = 1/3*3.14*6²h
  • 1200 = 37.68h
  • h = 1200/37.68
  • h = 31.8 cm (rounded)

None of the choices is correct

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marusya05 [52]

Answer:

The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.

Step-by-step explanation:

Use combinations to solve this problem.

Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.

There are 9 Lego kits available.

And the total number of children is 6.

That is, we need to select 6 Lego kits from the 9 available Lego kits.

6 Lego kits can be selected from the 9 available Lego kits in 9\choose 6 ways.

Solving the combination as follows:

{9\choose 6}=\frac{9!}{6!\times(9-6)!} \\=\frac{362880}{720\times6}\\ =84

Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.

4 0
2 years ago
If you help I will give you brainliest
hammer [34]

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).

The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.

The total time is the sum of times for the two parts of the trip: walking and riding.

  walking time = walking distance/walking speed

  = w/3

  riding time = riding distance/riding speed

  = (20-w)/30

The total time is that given above:

  w/3 +(20-w)/30 = 13/6

  10w +(20 -w) = 65 . . . . . . . . multiply by 30

  9w = 45 . . . . . . . . . . . . subtract 20, collect terms

  w = 5 . . . . . . . . . . . divide by 9

The girl walked 5 miles.

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3 years ago
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2 years ago
5 consecutive integers of 265
JulsSmile [24]
N+n+1+n+2+n+3+n+4=265

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6 0
3 years ago
Please I need the answer​
Vedmedyk [2.9K]

Answer:

x=4

Step-by-step explanation:

Simplifying

2(6x + 4) + -6 + 2x = 3(4x + 3) + 1

Reorder the terms:

2(4 + 6x) + -6 + 2x = 3(4x + 3) + 1

(4 * 2 + 6x * 2) + -6 + 2x = 3(4x + 3) + 1

(8 + 12x) + -6 + 2x = 3(4x + 3) + 1

Reorder the terms:

8 + -6 + 12x + 2x = 3(4x + 3) + 1

Combine like terms: 8 + -6 = 2

2 + 12x + 2x = 3(4x + 3) + 1

Combine like terms: 12x + 2x = 14x

2 + 14x = 3(4x + 3) + 1

Reorder the terms:

2 + 14x = 3(3 + 4x) + 1

2 + 14x = (3 * 3 + 4x * 3) + 1

2 + 14x = (9 + 12x) + 1

Reorder the terms:

2 + 14x = 9 + 1 + 12x

Combine like terms: 9 + 1 = 10

2 + 14x = 10 + 12x

Solving

2 + 14x = 10 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.

2 + 14x + -12x = 10 + 12x + -12x

Combine like terms: 14x + -12x = 2x

2 + 2x = 10 + 12x + -12x

Combine like terms: 12x + -12x = 0

2 + 2x = 10 + 0

2 + 2x = 10

Add '-2' to each side of the equation.

2 + -2 + 2x = 10 + -2

Combine like terms: 2 + -2 = 0

0 + 2x = 10 + -2

2x = 10 + -2

Combine like terms: 10 + -2 = 8

2x = 8

Divide each side by '2'.

x = 4

Simplifying

x = 4

Hope it helps!

7 0
3 years ago
Read 2 more answers
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