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mihalych1998 [28]
3 years ago
14

–24 + 12d = 2(d – 3) + 22 what does e=

Mathematics
2 answers:
Kitty [74]3 years ago
6 0

Answer:

d = 4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • -24 + 12d = 2(d-3) + 22
  • -24 + 12d = (2)(d) + (2)(-3) + 22
  • -24 + 12d = 2d -6 + 22
  • 12d - 24 = 2d + 16

Step 2: Subtract 2d from both sides.

  • 12d - 24 - 2d = 2d + 16 - 2d
  • 10d - 24 = 16

Step 3: Add 24 to both sides.

  • 10d - 24 + 24 = 16 + 24
  • 10d = 40

Step 4: Divide both sides by 10.

  • \frac{10d}{10} = \frac{40}{10}
  • d = 4

Therefore, d = 4! I hope this helped you.

Andreas93 [3]3 years ago
3 0

Answer:

d=4

Step-by-step explanation:

- 24 + 12d = 2(d - 3) + 22

-24+12d = 2d-6+22

12d-2d = -6+22+24

10d = 40

d = 40/10

d =4

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Step-by-step explanation:

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What is the factored form of x^3 - 729
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Find the volume of a right circular cone that has a height of 11.7 m and a base with a circumference of 9 m. Round your answer t
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The volume of the cone is one-third of the product of its base area and its height. The volume of the right circular cone is 25.1352 m³.

<h3>What is the volume of a cone?</h3>

The volume of the cone is one-third of the product of its base area and its height. It is given by the formula,

The Volume of Cone = (1/3) × π × (d/2)² × h

Given the circumference of a circle is 9 m, therefore, the radius of the base circle is,

Circumference of circle = 2πr

9 meters = 2 × π × r

r = 1.4323 m

The height of the cone is 11.7 m, while the radius of the cone is 1.4323, therefore, the volume of the cone can be written as,

The Volume of the cone = (1/3)πr²h

                                         = (1/3) × π × (1.4323²) × 11.7

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Hence, the volume of the right circular cone is 25.1352 m³.

Learn more about Volume of the cone:

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