Question 31 (Essay Worth 5 points)
1 answer:
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Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be = 80
ii) let the second term be =
. r = 80 × r = 60 ∴ r =
= 0.75
iii) let the third term be =
. r = 60 × r = 45 ∴ r =
= 0.75
iv) let the fourth term be =
. r = 45 × r = 33.75 ∴ r =
= 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.
The model which model the dimensions of the bed has been attached.
- The perimeter and area of the bed is 10 feet and 24 square feet respectively.
- The perimeter of your bed is less than the perimeter of the items, so not all items can be underneath your bed.
- Length of the rectangle = 6 feet
- Width of the rectangle = 4 feet
Perimeter of the bed = 2(length + width)
= 2(6 + 4)
= 2(10)
= 20 feet
Area of the bed = Length × width
= 6 feet × 4 feet
= 24 square feet
- Perimeter of the suitcase = 14 feet
- Perimeter of Lego box = 10 feet
- Perimeter of memory box = 10 feet
- Perimeter of stash = 6 feet
Total perimeter = 14 + 10 + 10 + 6
= 40 feet
Therefore, the items listed can not all be underneath your bed because the total perimeter of the items is greater than the perimeter of your bed.
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