Describe fully the single transformation that maps triangle A onto triangle B
1 answer:
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Answer:
Corn was planted in 24 sq.ft. of the vegetable garden.
Step-by-step explanation:
Length of garden = 9 ft
width of garden = 8 ft
Hence we will first find the total area of garden.
Total area of garden = length × width =
He planted 1/2 of the garden with vegetables.
Hence.
Area of Vegetables garden =
He planted tomatoes in 1/3 of the vegetable garden and corn in the rest
Area in which tomatoes was planted =
Hence Area in which corn were planted = Area of Vegetables garden - Area in which tomatoes was planted =
Hence Area of vegetable garden in which corn was planted is 24 sq.ft.
Answer:
The answer to each question is:
- A.) 403.2
- B.) 100. 8
Step-by-step explanation:
A.) To obtain the area of the dodecagon, you can use the next formula:
- Area of a dodecagon = 6 * apothem * edge
In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:
- Apothem = Edge *
If we replace the value of the edge, we obtain:
- Apothem = 6 cm *
- Apothem = 11.2 cm (approximately).
With this data, we can find the area:
- Area of a dodecagon = 6 * apothem * edge
- Area of a dodecagon = 6 * 11.2 cm * 6 cm
- Area of a dodecagon = 403.2
Then,<u> the area of the dodecagon is 403.2 </u><u> approximately</u>.
B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.
If:
- 12 pieces = 403.2
- 3 pieces = X
Then:
- X = (3 * 403.2
) / 12
- X = 1209.6
- X = 100. 8
In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u><u> approximately</u>.