A fraction is in simplest form when the numerator and denominator share no common factors.
The prime factorization of 5 is 5.
The prime factorization of 6 is 2×3.
The numerator and denominator share no common factors, thus 5/6 is already in simplest form.
Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
<h3>What is logical reasoning ?</h3>
Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.
Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:
Statement 1: If I have a Labrador but not a Staffie, I also have a Collie
Statement 2: I either have both a Collie and a Staffie or neither.
Statement 3: If I have a Collie, then I also have a Labrador.
- From Statement 1, If Barry will have a Labrador and Collie if he doesn't have a Staffie.
- From Statement 2, Barry will have both a Collie and a Staffie or he wont have either.
- From Statement 3, Barry must have a Labrador if I he has a Collie.
Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
Learn more about logical reasoning at: brainly.com/question/25175983
This problem is about triangles.
We must apply the trigonmetric relations to solve this.
I can see we have a right angle triangle.
Let's use the idea of the tangent.
tan (22º) = building height / shadow length
Let's plug given data on above formula:
tan(22º) = 610 ft / shadow length
I looked up and got tan(22º) = 0.40, so:
0.40 = 610 ft / shadow length
shadow length = 610 ft / 0.40
shadow length = 1,525 ft
Answer: shadow length is 1,525 ft .
P = 2(L + W)
P = 2(12 + 8)
P = 2(20)
P = 40.....so there is 40 meters of fence around the pool. If a post was placed every 2 meters, then u would have (40 / 2) = 20 posts <=
