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Aleks [24]
4 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]4 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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Giovani solves a system of equations algebrically he concludes that the lines are parallel which could be the final of his solut
kenny6666 [7]

Answer:

If the lines are parallel, final form of his solution is

b) -5 = -5+1

Step-by-step explanation:

As the options are not given in the question and the question is incomplete, lets complete the question first.

Giovani solves a system of linear equations algebrically, he concludes that the lines are parallel. Which could be his final answer.

a) -5 = -5

b) -5 = -5+1

c) 11 = 11

d) 5 = 5

We know that parallel lines never cross at any point, there is no intersection point, which eventually means that there is no solution to the given equations. A system of equations which have no solution is called an inconsistent system of equations, and it graphs the parallel line.

From the options we can clearly see that only (b) has no solution, while all the rest of the options have solutions. Hence, -5 = -5+1 represents parallel lines.

3 0
3 years ago
Help help help math math
denpristay [2]

Answer:

Function

Step-by-step explanation:

Hope it help !!

3 0
3 years ago
Can someone help me with this problem? Thank you!
vesna_86 [32]

Answer: the answer is 180 in^{2}

Step-by-step explanation:

Area of a rectangle multiply length times base. 15 x 12 = 180. Hope this helps!

6 0
2 years ago
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 21 N acts on
Marat540 [252]

Answer:

21N:7m/s

? :10m/s

21x10=210

210÷7=30N

Your final answer is 30N

Step-by-step explanation:

This is called direct propotion

it involves close multiplication

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3 years ago
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Murljashka [212]

Answer:

7/8

Step-by-step explanation:

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