Answer:
the second option
Step-by-step explanation:
Step-by-step explanation:
you should have to give more points for this answer
This is a fairly tedious problem. The only way to solve that I see is to simply list out all the possible cases and go through each one by one. You'll use the triangle inequality theorem to see if the triangles can be formed. The theorem says that a+b > c must be true for all sets of pairs. In other words, take any two sides and add them up. The sum must be greater than the third side.
Going through all the combos possible (that I could find), this is what I got
Blue9,Green7,Orange4
Blue9,Green7,Purple12
Blue9,Green7,Red3
Blue9,Green7,Yellow5
Blue9,Orange4,Purple12
Blue9,Purple12,Yellow5
Green7,Orange4,Yellow5
Green7,Red3,Yellow5
Orange4,Red3,Yellow5
In all, I count 9 cases. So the answer to problem 1 is 9.
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For problem 2, the best way may be to pick two segments at a time instead of one. However, I have a feeling that will take just as long as the first method. I haven't tried it out. Even though going through the rods one at a time takes a while, it's probably the best option so you don't overlook any cases.
Answer: 80$
Step-by-step explanation:
Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:
9x=2x+80
Now let us solve for x.
9x-2x=80
7x=80
x=\frac{80}{7}
Now let us substitute x=\frac{80}{7} in 7x (amount of money that Egil gets).
\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}
Upon cancelling out 7 from numerator and denominator we will get,
\text{ Amount of money that Egil will get}=80
Therefore, Egil will get $80.