Given that the two figures are similar, what scale factor can be used to find the missing length x?
2 answers:
Answer: The correct option is
(D) 4.
Step-by-step explanation: Given that the two triangles in the figure are similar.
We are to find the scale factor that can be used to find the missing length x.
From the figure, we note that
two pairs of corresponding lengths of the sides of the given triangles are (4, 16) and (6, x).
And, the scale factor is given by
Also, we get
Therefore, the missing length x is 24 units and the scale factor is 4.
Option (D) is CORRECT.
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Answer:
Step-by-step explanation:
The chart has been completed in the picture attached.
Step-by-step explanation:
Step 1:
It is given that the number of bacteria doubles every 6 hours.
So if there are 1 million now, in 6 hours there would be double that i.e. 2 million and it will go on.
Step 2:
As the first column says the number of 6-hour periods, the second column is the actual number of hours.
So the second column is multiples of 6 so the second column is filled with;
0, 6, 12, 18, 24, 30, 36, 42 and 48.
Step 3:
The current population is calculated by multiplying the previous population by 2.
For 0 hours, the population = 3 million,
For 6 hours, the population = million,
For 12 hours, the population = million,
For 18 hours, the population = million,
For 24 hours, the population = million,
For 30 hours, the population = million,
For 36 hours, the population = million,
For 42 hours, the population = million, and
For 48 hours, the population = million.
So at the end of 48 hours, there will be approximately 768 million bacteria on the pinhead.
