Please with an explanation
2 answers:
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Answer:
41.34
Step-by-step explanation:
We can use the Pythagorean theorem to solve for the distance. First we will create an <em>imaginary </em><em>triangle </em>with the leg lengths being the x distance and y distance between the 2 points and the hypotenuse being the distance between the 2 points.
x distance =
y distance =
We can now use the Pythagorean theorem (a²+b²=c²) with our <em>imaginary </em><em>triangle</em>
xdistance²+ydistance²=distance²
35²+22²=distance²
1709=distance²
In decimal form the distance would be around 41.34.
That is the answer
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Solution:
The number 624 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 624. The first step is to divide the number 624 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
624 ÷ 2 = 312
312 ÷ 2 = 156
156 ÷ 2 = 78
78 ÷ 2 = 39
Further dividing 39 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 39 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
Then, the prime factors of 624 are 2, 3, 13, and we have that the prime factorization of 624 is:
So that, we can conclude that the solution is: