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Law Incorporation [45]
3 years ago
13

Please help below dudes

Mathematics
1 answer:
Natalka [10]3 years ago
3 0
Scale factor = 0.5 ( as its half of the original) and this represents reduction
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A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multi
Ierofanga [76]

Answer: A. Factor 2 => 4x greater

                   Factor 3 => 9x greater

                   Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

A_{1} = 2πrh

If multiply both dimensions <u>by a factor of 2</u>:

A_{2} = 2.π.2r.2h

A_{2} = 8πrh

Comparing A_{1} to A_{2} :

\frac{A_{2}}{A_{1}} = \frac{8.\pi.rh}{2.\pi.rh} = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

<u>By factor 3:</u>

A_{3} = 2.\pi.3r.3h

A_{3} = 18.\pi.r.h

Comparing areas:

\frac{A_{3}}{A_{1}} = \frac{18.\pi.r.h}{2.\pi.r.h} = 9

Multiplying by 3, gives an area 9 times bigger.

<u>By factor 5</u>:

A_{5} = 2.\pi.5r.5h

A_{5} = 50.\pi.r.h

Comparing:

\frac{A_{5}}{A_{1}} = \frac{50.\pi.r.h}{2.\pi.r.h} = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

3 0
3 years ago
Can u help solve for x 3(x-4)-12=2(x-6)+8
Igoryamba

Answer:

{ \rm{3(x - 4) - 12 = 2(x - 6) + 8}} \\  \\   { \rm{3x - 12 - 12 = 2x - 12 + 8}} \\  \\ { \rm{3x - 24 = 2x - 4}} \\  \\ { \rm{3x - 2x = - 4 + 24}} \\  \\ { \rm{x = 20}}

4 0
3 years ago
Kendrick’s math quiz grades are 90, 100, 48, 88, 100, and 96. Find the MEAN of Kendrick’s scores.
nignag [31]

Answer:

87

Step-by-step explanation:

5 0
3 years ago
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