Answer: When a shape is drawn on a scaled grid you can find the area by counting the number of grid squares inside the shape. In this example, there are 10 grid squares inside the rectangle.
Step-by-step explanation:
Part A: (no overtime) E = 18x. Please note that x cannot exceed 35, thus E cannot exceed $630.
Part B: T = 25y + 18x where x = 35 hours. Thus, T = 25y + 630.
Part C: T = $730. 730 = 630 + 25y. Subtract 630 from both sides. 100 = 25y. Divide both sides by 25. y = 4. This is the number of overtime hours -- remember that Dominic has already worked 35 hours non-overtime. 35 + 4 = $730.
Answer: 52
Divide 26/2 and you get 13, and then multiply 13 by 4. Think of it as a proportion.
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
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<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.)
