Answer:
Given
Step-by-step explanation:
When we prove a theorem using a proof, we start with a list of the given information.
Answer:
72
Step-by-step explanation:
Find the prime factorization of 18
18 = 2 × 3 × 3
Find the prime factorization of 24
24 = 2 × 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps above to find the LCM:
LCM = 2 × 2 × 2 × 3 × 3
LCM = 72
i hope this helps :)
First question: So, we know a fence that is 3 sections long, requires 4 posts and 6 rails.
Now, we have to use this kind of fence (3 sections, 4 posts, 6 rails) to fence off a yard. The yard is rectangular, and is 6 sections long and 3 sections wide.
Since we know the fence we are using is 3 sections wide, we have to count how many of them we’ll be using for the yard.
We know all four sides of the rectangle - two sides are 3 sections long, and the other two are 6 sections long.
Our fence is 3 sections, so we can already use 2 of those for the two sides of 3 sections. We multiply the number of rails and posts by two (since we are using two of these fences) and get 8 posts and 12 rails. We’ll keep this in mind.
Now, for the other two sides: they are both 6 sections long. We know that 3+3=6, thus one of those sides would be 2 fences long, or 3 sections times 2. We have two of these 6 section sides, so we actually would be using 12 sections (6*2), or in other words, we’d use this fence 4 times (4*3). We multiply the rails and posts by 4, and get 16 posts and 24 rails.
We use the 8 posts and 12 rails from earlier and add the number of the posts and rails we got just now: 16p and 24r, and get a total of 24 posts and 36 rails.
As for the second question, even I’m having a tough time. I’ll get back to you if I can solve it.
Given:
Triangular garden
smallest side: x
medium side: x + 5ft
largest side: 2x - 6ft
Perimeter: 47 ft.
Perimeter = smallest side + medium side + largest side
47 ft = x + x + 5ft + 2x - 6ft
47 ft - 5ft + 6ft = 4x
48ft = 4x
48ft / 4 = 4x / 4
12 ft = x
smallest side: x = 12 feet
medium side: x + 5ft = 12ft + 5ft = 17 ft
largest side: 2x - 6ft = 2(12ft) - 6ft = 24ft - 6ft = 18ft
Perimeter: smallest + medium + largest
47ft = 12ft + 17ft + 18ft
47ft = 47ft
Answer: The answer would be -13! :)
Explanation:
5(-2) - 3(2) - (-3)
-10 - 6 + 3
-16 + 3
-13
