A) 3, 5, 6
c squared = a squared + b squared
6 squared = 5 squared + 3 squared
36 = 25 + 9
36 ≠ 34 (not a right triangle)
b) 13, 12, 5
c squared = a squared + b squared
13 squared = 12 squared + 5 squared
169 = 144 + 25
169 = 169 (is a right triangle)
c) 17, 15, 9
c squared = a squared + b squared
17 squared = 15 squared + 9 squared
289 = 225 + 81
289 ≠ 306 (not a right triangle)
d) 12, 8, 6
c squared = a squared + b squared
12 squared = 8 squared + 6 squared
144 = 64 + 36
144 ≠ 100 (not a right triangle)
hope this helps!!
Step-by-step explanation:
Co-prime numbers are numbers that only have 1 as a common factor.
For example, 35 = 1×5×7, and 39 = 1×3×13. So 35 and 39 are co-prime.
Write the prime factorization of each number:
17 = 1×17
25 = 1×5²
35 = 1×5×7
43 = 1×43
55 = 1×5×11
119 = 1×7×17
187 = 1×11×17
43 is co-prime with all of these, so we will not use it.
If we start with 35 in the upper left, and 187 in the lower right, then we can also rule out 17 and 25, since these are co-prime with either 35 or 187.
So that leaves 55 and 119 as the other two numbers. They can go in any order, as long as they are diagonal from each other.
![\left[\begin{array}{cc}35&55\\119&187\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D35%2655%5C%5C119%26187%5Cend%7Barray%7D%5Cright%5D)
Answer:
24 days
total units = 120* 30 = 3600
used after 10 days = 120*10 = 1200
remaining units after 10 days = 3600-1200 = 2400
2400/100 people = 24 days that the provisions will last
Step-by-step explanation: