Answer: 10
Imagine you have 2 slots or boxes that are empty. They represent the possible choices for the letter you pick. For example, you can place B in slot 1 and D in slot 2. There are 5 choices for slot 1 (A,B,C,D,E) and four choices for slot 2. Why 4? Because after we pick the letter for slot 1, we have one less letter to pick from. We can't reuse that letter.
Now multiply those values 5 and 4 to get 20. There are 20 different ways to pick a pair of letters from a pool of 5 total. However, order does NOT matter because the segment AB is the same as BA. Since order doesn't matter, we are doubly counting when we shouldn't. In other words, our count is two times higher than it should be. Instead of 20 pairs, it's actually 20/2 = 10 pairs. That's why the answer is 10.
The list of 10 segments are: {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}
Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.
Answer:
2(6e-3f+10g)
Answer (I think): 12e-6f+20g
Step-by-step explanation:
Answer:
X=6
Step-by-step explanation:
Turning the question into a formulae
2X + 5 > 16; and 2X + 5 < 29
Let’s start by calculating the lower limit
2X + 5 = 16
X = (16–5)/2
X = 11/2 = 5.5
X > 5.5
The lowest value of X is infinitesimally close to 5.5, but greater than 5.5.
The answer is 200 metres as the price increases by 3.9 for every increase in 30 metres.
Answer:
D. 5267
Step-by-step explanation:
In the triangle XY and XZ are tangent to circle C. This means that the length has of XY and XZ are congruent.
So first you have to set the equations to each other to find what b equals to.
85b+83=91b-283
Add 283 to both sides
85b+366=91b
Subtract 85b on both sides
366=6b
Divide by 6
B=61.
Then you substitute 61 as b in the equation for XY.
85b+83
85(61)+83
5185+83
5268
