The answer would be a (not too sure) but it makes a little bit sense
Part A.
The log can be modeled by a cylinder.
The board can be modeled by a rectangular prism.
PART A :OK so here is the table for the health inspector; all you are really doing is 7+7+7, and so on:
PART A: health inspector: 7,14,21,28,35,42,49,56,63,70,77,84..........
PART A:same thing for the fire inspector, except this time your adding 12+12+12, and so on:
PART A: fire inspector: 12,24,36,48,60,72,84,96.......
PART B: and to figure out what day they will both come is you have to find the LCM (least common multiple)
PART B: which in this case is Day 84
hopes this helps!!!!!
Answer:
{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}
Step-by-step explanation:
The expansion of (p+q)^n for n = 5 is ...
(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5
When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.
For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.
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The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.
X = 30
hope that helps
180 - 108 = 72
180 - 72 -43 = 65
triangle on the left
Angles = 43,65,72
triangle on the right
180 - 65 = 115
180 - 115 - 35 = 30
so angles of triangle on the right = 30, 35, 115
x = 30 (vertical angles with the other angle of triangle on the right)