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meriva
3 years ago
15

What is the value of the rational expression below when x is equal to 4? x-12/x-8

Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0

Answer:

When x=4 we get the value of the given expression is

\frac{x-12}{x-8}=2

Step-by-step explanation:

Given rational expression is \frac{x-12}{x-8}

To find the value of the given rational expression \frac{x-12}{x-8}

when x is equal to 4 :

That is the value of the given rational expression \frac{x-12}{x-8}

when x=4 :

\frac{x-12}{x-8}

Put x=4 in the above rational expression we get

\frac{4-12}{4-8}

=\frac{-8}{-4}

=\frac{8}{4}

=2

Therefore  when x=4 we get the value of the given expression is

\frac{x-12}{x-8}=2

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Given that,

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We need to find the percentage of the class chose pizza. There are 22 student who like to have pizza. Required percentage is given by :

P=\dfrac{22}{42}\times 100\\\\P=52.38\%

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3 years ago
A cone has a diameter of 8 units and a height of 8 units. units, and its volume is Its radius is volume of cubic units. If a sph
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The above question is not complete because it was not written and arranged properly

Complete Question

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder. Answer: 1) Volume of the cone = 134.04cubic units

2)Volume of the cylinder = 402.12cubic units

3) Volume of the sphere= 268.08 cubic units. Hence, if a sphere has the same radius as the cylinder, its volume is 2/3 times the volume of the cylinder.

Step-by-step explanation:

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

Volume of a cone = 1/3πr²h

h = 8 units

r = 4 units

Volume = 1/3 × π × 4² × 8

134.04cubic units

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

Volume of a cylinder = πr²h

Height and radius is the same as that of the cones hence,

h = 8 units

r = 4 units

= π × 4² × 8

= 402.12cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder.

Volume of a Sphere = 4/3πr³

r = radius of the cylinder = 4 units

Volume of a Sphere = 4/3 × π × 4³

= 268.08 cubic units.

From the above question, we are asked to compare the volume of the sphere with the volume of the cylinder

Volume of the sphere : Volume of the cylinder

268.08 cubic units : 402.12 cubic units

268.08/402.12 = 2/3

Therefore, the volume of the sphere is 2/3 times the volume of the cylinder

6 0
2 years ago
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