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1 year ago

What will happen to the original shape if the scale factor is a less than 1 b greater than 1 C equal to 1?

1 answer:

4 0

Original shape will contract when scale factor is less than 1 , expand when scale factor is greater than 1 and it doesn't change when scale factor is 1

A scale factor is a number that can be used to change the size of any geometrical figure or shape in relation to its original size. It is the ratio of the sizes of the original and dilated figures.

It is denoted by "k"

The magnitude of the scale factor is taken into account, and it cannot be zero. The scale factor has the ability to either increase or decrease the size of an object.

The basic formula for calculating the scale factor of a dilated figure is as follows:

Scale = dimension of preimage / dimension of image

According to the question,

(a) If scale factor is less than 1 , k < 1 then the original shape will contract means It's size will decrease

(b) If scale factor is greater than 1 , then image will enlarge and it would expand

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2 years ago

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.

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Step-by-step explanation:

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The sample space is:

$[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]$

The sample space of the product a*b of each pair forms the required possibility diagram.

This is given as:

$1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64$