Please help me with this and I need the work shown out please
1 answer:
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Answer:
(a)
(b)
(c)
Step-by-step explanation:
The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.
The Euclidean algorithm solves the problem:
<em> Given integers </em><em>, find </em>
<em />
Here is an outline of the steps:
- Let
,
.
- Given
, use the division algorithm to write
.
- If
, stop and output
; this is the gcd of
.
- If
, replace
by
. Go to step 2.
The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.
Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:
Step 1: Subtract D from N repeatedly.
Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.
(a) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
(b) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
(c) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
Answer:
28 ft²
Step-by-step explanation:
The area of a circle is , where r = radius. To find the radius, we split the diameter in half.
- 6/2 = 3
- Thus, the radius is 3.
Now, let's find the area of the circle and approximate pi to 3.14.
- 28.26 ≈ 28 ft²
Therefore, the answer is 28 ft².