Answer:
23+ .5 + .06
20+3+.56
10+10+ 3.56
Step-by-step explanation:
y=cos(x)+2
What is the amplitude of the function?
What is the period of the function?
Answer:
17. 6
18. 18 (as shown)
19. 10/3 = 3 1/3
20. 20/3 = 6 2/3
Step-by-step explanation:
17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.
19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...
... GD = (1/3) CD = (1/3)·10 = 10/3
... GD = 3 1/3
20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.
... CG = CD -GD = 10 -3 1/3
... CG = 6 2/3
_____
<em>Comment on centroid and median</em>
The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.
The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.
Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)
Unable to provide a definitive answer due to lack of diagram.
Answer: 1/4
Step-by-step explanation:
Multiples of 6:
Multiples of 6 are numbers obtained when 6 is multiplied by an integer. Such as
(6*1) = 6, (6*2)=12, (6*3) = 18..... and so on.
Probability is calculated by finding the ratio of the required outcome and total possible outcomes.
Probability = required outcome / Total possible outcomes
P(multiple of 6) = number of multiples of 6 / total number of possible outcomes
If number of 6 multiples = 5 and
Total number of faces in the spinner = 20
Then :
P(multiple of 6) = 5/20 = 1/4