Answer:
- Surveyors
- developers of the GPS system
Step-by-step explanation:
The side labeled "a" is made the longer side. These are the two congruent sides. So a > b.
We are told that the longer side is 6.3, so a = 6.3, meaning that
2a+b = 15.7
2(6.3)+b = 15.7
12.6+b = 15.7
b = 15.7-12.6
b = 3.1
The triangle has sides of: 6.3, 6.3, 3.1
The perimeter is 6.3+6.3+3.1 = 15.7
Going back to the question "which equation can be used to find the length of the base?", it sounds like either you were given a list of multiple choice answers, or you just fill in the blank. If multiple choice, then try to see which answer matches with what I wrote above. If fill in the blank, then I would just enter either 2(6.3)+b = 15.7 or 12.6+b = 15.7
Answer:
3.9
Step-by-step explanation:
Given the data:
Payout ($) (x) : 0 2 4 8 10
Probability p(x) : 0.35 0.2 0.1 0.2 0.15
The expected winning ; E(X) = Σ(x * p(x))
Σ(x * p(x)) = (0*0.35)+(2*0.2)+(4*0.1)+(8*0.2)+(10*0.15)
= 0 + 0.4 + 0.4 + 1.6 + 1.5
= 3.9
6+2/3(3-6x)=x-2 combine like terms
2/3(3-6x)=x-2-6
2/3(3-6x)= x-8 distribute 2/3
2/3(3)- 2/3(6x)=x-8
6/3-12x/3=x-8 divide where you can
2-4x=x-8 combine like terms
2+8=x+4x add
10=5x divided by 5
10/5=5x/5
2=x