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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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It will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.

<h3>What is Ratio and Proportion ?</h3>

When two numbers can be written as p/q is called a Ratio , and when two ratios are equal they are said to be in proportion .

It is given that

Jeremy is reading a 60-page book.

The time taken to read  20 pages is 30 minutes

Then it can be written as 20:30 = 2:3

The rate of reading is same so To read the rest 40 pages is given by

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8 0
2 years ago
If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the
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x + y = 141

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x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

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