Answer:
This cannot factor
Step-by-step explanation:
This cannot factor because there is no number that can be factored out of all of the terms.
Answer:
3. 4
4. 8
5. 24
Step-by-step explanation:
Answer:
Step-by-step explanation:
Construction: To copy angle CAB.
i. On angle CAB, with center A and any radius; draw an arc to intersect CA at E and AB at F.
ii. Place a divider at EF to copy the angle.
iii. Draw a separate straight line MN of approximate length to AB.
iv. Mark point P on MN. Place the divider with radius EF at P to mark Q.
v. Draw a line LM from M through Q.
vi. Therefore, angle CAB would be equal to angle LMN.
<h3>
Answer: 10,080</h3>
Explanation:
There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.
So,
(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080
is the number of ways to arrange the letters of "football".
The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.