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miss Akunina [59]
3 years ago
10

an actor is 6ft tall. on a billboard the actors height in the picture is 16.8. what is the scale factor

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer:

Scale Factor (small to large) is 2.8

Step-by-step explanation:

The scale factor is "how many times" it is larger.

If we have an actual quantity be "a" and the enlarged quantity be "b" and we let the scale factor be "k", we can write the equation shown below:

ka=b

So, we basically mean "what number" (scale factor) should be multiply with the actual value (smaller one) to get the enlarged value (bigger one). From the problem, we can write:

\k(6)=16.8

Now we find "k", the scale factor:

k(6)=16.8\\k=\frac{16.8}{6}\\k=2.8

Hence, the scale factor is 2.8

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Answer:

(a) 88 integers

(b) 92 integers

Step-by-step explanation:

(a) integers whose last digits are divisible by 2 are multiples of two or numbers whose digits ends with zero. So for number 1-120 , all the even numbers which are sixty in number are are multiples of two.

For  3, numbers whose digits sum is divisible by three are multiples of three. 3,6,9,12,15,18,21,24,27,30 are multiples of three from numbers 1-30. we have four 30s in 120. which means numbers of integers will be 10*4 = 40integers. However out of these numbers , half are also integers of 2 which reduces the number added to 20integers.

For 5, numbers whose digits ends with 5 or 0 are multiples of 5. this gives us 24 integers for 1-120. but out of these 24integers, 16 are common integers of 2 and 3 which reduces the number added to 8integers.

Thus from 1-120 the intergers of 2,3 or 5 = 60+20+8 = 88integers.

(b) if we are considering from numbers 1-140;

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For 7, numbers 7,14,21,28,35,42,49,56,63,70 are multiples of three from 1-70. This pattern is repeated from number 71-140. hence we have 20 integers in all. However 12 of the multiples are also multiples of either 2 or 5 which reduces the number to 8 integers.

Thus from 1-140, the integers of 2, 5, or 7 = 70+14+8 = 92integers

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