So, there are (3)(4)(2)=24 positive factors.
Answer: The area of ABC is 56 m².
Explanation:
It is given that in △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP.
Since point P divides the line AB in 1:3, therefore the area of triangle APC and BPC is also in ratio 1:3. To prove this draw a perpendicular h on AB from C.
Since the area of BPC is 
th part of total area, therefore area of APC is 
th part of total area.
The point M is the midpoint of CP, therefore the area of BMP and BMC is equal by midpoint theorem.
Area of BPC is,
Area of APC is,
Area of ABC is,
Therefore, the area of ABC is 56 m².
Answer:
28
Step-by-step explanation:
In a regular 52 card deck, 26 are black (clubs or spades). Additionally, there are two red jacks (diamonds and hearts). This equals 28/52. As a probability, it would be 28/52=14/26=7/13. This could also be expressed as a percentage or decimal. 0.538 or 53.8%. But the question asks <em>how many ways</em> can she choose a jack or black card, so I’m assuming they don’t want the probability, just the number, which is 28.
Total number of ways to make a pair:
The first player can be any one of 7 . For each of those . . .
The opponent can be any one of the remaining 6 .
Total ways to make a pair = 7 x 6 = 42 ways .
BUT ... every pair can be made in two ways ... A vs B or B vs A .
So 42 'ways' make only (42/2) = 21 different pairs.
If every pair plays 2 matches, then (21 x 2) = <em><u>42 total matches</u></em> will be played.
Now, is that an elegant solution or what !
If you divide both the Cashew butter and the macadamia butter in half and then multiply the peanut butter by 4 you will get $25.62 (after adding the answers up)
