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Aleks [24]
3 years ago
8

In the diagram shown at the right, a 2-foot-wide flower border surrounds the heart-shaped pond. What is the area of the border?

Mathematics
1 answer:
True [87]3 years ago
6 0
The area is 139.02 sq. ft.

This can be broken into two shapes:  a 12 by 12 square and a circle with a diameter of 12.  Adding the 2 ft border increases it to a 14 by 14 square and a circle with a radius of 16 (2 on each side).  

With border:

Area of square = 14*14 = 196
Area of circle = 3.14(8*8) = 200.96

Together = 396.96

Without border:

Area of square = 12*12 = 144
Area of circle = 3.14(6*6) = 113.04

Together = 257.04

This is a difference of 396.96-257.04 = 139.02 sq. ft.
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C

Step-by-step explanation:

Yes, ACD = BCD by AAS since they have 2 congruent angles & share a side.

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Normal six-sided dice have a different number of pips on each face, from 1 to 6. You roll two such dice and add the result.
NARA [144]

Answer:

1) 16.7% probability of rolling 10+.

2) 50% probability an odd number is rolled.

3) 7 is the most likely total result.

Step-by-step explanation:

These are all the possible outcomes:

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

There are 36 possible outcomes

1) what is the probability of rolling 10+?

There are 6 possible outcomes in which 10+ is rolled:

(4,6), (5,5),(5,6), (6,4), (6,5),(6,6).

So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.

2) what is the probability of rolling an odd number?

There are 18 possible outcomes in which an odd number is rolled.

So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.

3) what is the total that is most likely to result?

There are 6 outcomes in which 7 is rolled.

So 7 is the most likely total result.

6 0
3 years ago
really need help on these two questions for geometry, please actually answer it instead of just grabbing points and leaving :'),
egoroff_w [7]

Answer:

Step-by-step explanation:

The diagonals of a rhombus are perpendicular, so ∠AED = 90° and ∠BEC = 90°.

∠DAE = 180° - ∠AED - ∠EDA = 180° - 90° - 35° = 55°

BD is a transversal across parallel sides AD and BC, so ∠EBC = ∠EDA = 35°.

∠BCE = 180° - ∠BEC - ∠EBC = 180° - 90° - 35° = 55°

5 0
3 years ago
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