Please answer both ASAP (middle school) (probability)
1 answer:
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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>.
Answer:
see explanation
Step-by-step explanation:
Calculate the slopes between pairs of the 3 points using the slope formula
m =
with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)
m = =
=
= 1
Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)
m = =
= - 1
If lines are perpendicular then the product of their slopes = - 1 , then
1 × - 1 = -1
Thus there is a right angle between the 2 lines
Then triangle is right- angled