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gregori [183]
3 years ago
10

The volume of a sphere whose diameter is 18 cm is

Mathematics
1 answer:
prohojiy [21]3 years ago
5 0

Answer:

  = 3052.08 cm^3

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

We know the diameter is 18

d = 2r

18 = 2r

Divide each side by 2

18/2 =2r/2

9 =r

V = 4/3 pi 9^3

V = 4/3 pi (729)

V = 972 pi

Approximating pi by 3.14

V =972 (3.14)

  = 3052.08 cm^3

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The value of the variable x is found to be x = 9.

<h3>What is termed as angle bisector?</h3>
  • In geometry, an angle bisector is a line that divides an angle into two equal angles.
  • A bisector is something that divides a shape or thing into two equal portions.
  • An angle bisector is a ray that divides an angle into two equal components of the same measurement.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

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46-1 = 5x

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Divide each side by 5

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Thus, the value of the unknown variable is found to be x = 9 units.

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11 months ago
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Travka [436]

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

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B) segment ab = segment a double prime b double prime over 2

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It can be rewritten as:

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Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

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The equation that explains the relationship between segment AB and segment A"B" is

A"B" = \frac{AB}{2}

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Answer:

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