f(g(x) ) = -2(3x²+5x+14) +10
= -3x²-10x- 28+10
= -3x²-10x -18
Answer:
19 degrees.
Step-by-step explanation:
First solve the angles in the top triangle:
FHG = 180 - 135 = 45 (angles on a straight line = 180)
FGH = 180 - 105 = 75 (angles on a straight line = 180)
Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)
Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60
FDC = 180 - 119 = 61 (anges on a straight line = 180)
Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.
With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).
Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.
Using probability concepts, it is found that:
1. P(A) = 0.2268.
2. 100%.
3. 0%.
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A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
Item 1:
- 44 countries in Asia.
- Total of 23 + 12 + 47 + 44 + 54 + 14 = 194 countries.
Then:
Itens 2 and 3:
- The complement of an event is it's negation.
- Either an event happens, or it does not, that is, either the event happens, or it's complement does, thus the sum of the probabilities of an event and it's complement is of 100%.
- From the above bullet point, there is also a 0% probability that neither an event nor its complement happens.
A similar problem is given at brainly.com/question/24297482
Anita's speed rounded to the nearest hundredth is 0.28. The first 7 in the number 0.277 is the hundredths place. You look at the second 7 and you can see that 7 is greater than 5. So the answer is 0.28.