If the rectangle below are similar what Is the length of X

Mathematics

2 answers:

tino4ka555 [31]2 years ago

4 0

It is a
9/4=2.25*2=4.5
Hope it helps :)

Diano4ka-milaya [45]2 years ago

3 0

Similar means they in reatio

2:4=x:9

2/4=x/9
1/2=x/9
times both sides by 9
9/2=x
4.5=x

A is the answer

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Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculat

JulijaS [17]

Answer:

I) $\dfrac{1}{8}$ (ii) $\dfrac{53}{64}$ (iii) $\dfrac{15}{64}$ (iv) $\dfrac{5}{8}$ (v) $\dfrac{21}{32}$

Step-by-step explanation:

The sample space for an 8-sided fair die rolled twice is:

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

(a) Possibility diagram of the product of the two numbers appearing on the die in each throw

$1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6.12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64$