Answer:
Scale Factor is: When you divide the old shape by the new shape (explanation is here)
Step-by-step explanation:
When you have 2 shapes (lets say Y is the old shape and F is the new shape) you would divide the old shape (Y) by the new shape (F)
Another example: lets say shape F is 12 cm and shape Y is 7 cm (F being the old and Y being the new shape) you would divide 12 and 7 to get the answer to that problem
It depend actually on the number u r given
so technically it is sometimes ☺
Answer:
42
Step-by-step explanation: formula 40 X 30 = 1200 then 50,000 divided by 1200.
Best estimate would be to round 591.3 to 600 and round 29 to 30. 600/30 = 20.
Answer:
Lets say that P(n) is true if n is a prime or a product of prime numbers. We want to show that P(n) is true for all n > 1.
The base case is n=2. P(2) is true because 2 is prime.
Now lets use the inductive hypothesis. Lets take a number n > 2, and we will assume that P(k) is true for any integer k such that 1 < k < n. We want to show that P(n) is true. We may assume that n is not prime, otherwise, P(n) would be trivially true. Since n is not prime, there exist positive integers a,b greater than 1 such that a*b = n. Note that 1 < a < n and 1 < b < n, thus P(a) and P(b) are true. Therefore there exists primes p1, ...., pj and pj+1, ..., pl such that
p1*p2*...*pj = a
pj+1*pj+2*...*pl = b
As a result
n = a*b = (p1*......*pj)*(pj+1*....*pl) = p1*....*pj*....pl
Since we could write n as a product of primes, then P(n) is also true. For strong induction, we conclude than P(n) is true for all integers greater than 1.
