Triangles = 180 so you’d use the equation ABC (60) + BAC (50) + ACB (x) = 180
Which equals out to ACB= 79
Answer:
The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.
Step-by-step explanation:
According to DeMorgan's Theorem:
(W.X + Y.Z)'
(W.X)' . (Y.Z)'
(W'+X') . (Y' + Z')
Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.
For the original function:
(W . X + Y . Z)'
= (1 . 1 + 1 . 0)
= (1 + 0) = 1
For the compliment:
(W' + X') . (Y' + Z')
=(1' + 1') . (1' + 0')
=(0 + 0) . (0 + 1)
=0 . 1 = 0
Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.
Without the parenthesis the compliment equation looks like this:
W' + X' . Y' + Z'
1' + 1' . 1' + 0'
0 + 0 . 0 + 1
Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.
Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.
8mm to 2cm is the same as 8mm to 20mm
8 : 20 simplifies to 2 : 5
3.25cm ÷ 5 = 0.65cm
0.65 x 2 = 1.3cm
Your answer is 1.3cm
Sarah's reasoning sounds good to start. She rounded the available bags and their content, so the result, 4000 bracelets, should be really easy to reach.
The exact numbers are 214 bags * 22 bracelets / bag = 4708 bracelets; so as you see, Sarah took care of having room to loose some beads and yet the beads will be enough to make 4000 bracelets.
Of course, if you want to be sure, you should ask Sarah some questions. For example:
1) What proportion of beads are normally deffective?
2) What proportion of beads are normally lost when crafting?
So, if Sarah did not take into account those proportions she migth be overestimating the number of bracelets they can make.
Since 26 is even, you can divide it by 2, a prime number. 26/2 is 13, and 13 happens to be prime as well so it's solved.
The prime factorization of 26 is 2 * 13
