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Bumek [7]
3 years ago
15

Confused, thanks.

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0
Yes, after applying the Pythagorean Theorem, use (a squared + b squared = c squared), where as; a and b, are any two angles and c is the hypotenuse or the longest side of the right triangle. In other words yes you can use a right triangle to find the distance between any to points on a coordinate plane using... the Pythagorean Theorem.  
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The cost of 3 scarves is $72.75. What is the unit price?
sergejj [24]

Answer:

$24,25

Step-by-step explanation:

72.75 ÷ 3 = 24,25

3 0
2 years ago
James has 1,836 marbles. He decides to divide them equally among 23 boxes. How many marbles will James have left over?
Bess [88]

Answer:

79.8260869565

Step-by-step explanation:

When dividing 1,836 by 23= 79.8260869565

7 0
3 years ago
Use strong mathematical induction to prove the existence part of the unique factorization of integers theorem (Theorem 4.4.5). I
valentina_108 [34]

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.

5 0
3 years ago
When 9 is subtracted from a number then divided by 2, the answer is 4. What is the number?
Fantom [35]
(x-9):2=4 \\\\ x-9=4*2 \\\\ x-9=8 \\\\ x=8+9 \\\\ \boxed{x=17}
5 0
3 years ago
Read 2 more answers
What is 12x5-3x20 I'm having so much troubleee
Andrei [34K]
12×5=60 3×20=60
60-60=0 So the answer is 0
6 0
3 years ago
Read 2 more answers
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