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Grace [21]
3 years ago
5

The Roman Empire began in 27 B.C. and ended in 476 A.D. The Persian Empire lasted approximately 5/11 as long as the Roman Empire

. Based on this approximation, if the Persian Empire began in 550 BC, in what year did it end?
Round all years to the nearest whole number.
Mathematics
1 answer:
77julia77 [94]3 years ago
7 0
Step One
How many years did the Roman Empire Last?
Abs(27) + 476 = Roman Empire.
27 + 476 = 503 years.

Note the total number of years starts in BC. To add that to the AD number of years you have to take the absolute value of the 27. Otherwise you would be subtracting and that would make the total number of  years wrong by 54 years.

Step Two
Find 5/11 of the total number of years.
(5/11) * 503 = 228.6363 Hold off on rounding.

Step Three
Find the ending date.
Starting date = 550 BC
Ending date = ???
Number of years between Start and end = 228.6363
Ending date = starting date - 228.6363 you are working towards AD
Ending date = 550 - 228.6363
Ending date = 321.4 BC
Rounded that comes to 321 BC.
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Answer:

0.46 per donut. 46 cents

Step-by-step explanation:

5.49/12=0.4575

Rounding to the nearest cent is about 46 cents per donut.

4 0
2 years ago
Ellie needs new grass in the circular pen for her chickens. There is 175.84 feet of fencing around the circular pen. What is the
pshichka [43]
<h3>Area of pen is 2462 square feet</h3>

<em><u>Solution:</u></em>

Given that,

Ellie needs new grass in the circular pen for her chickens

There is 175.84 feet of fencing around the circular pen

Therefore,

Circumference = 175.84 feet

<h3><u>The circumference of circle is given as:</u></h3>

C = 2 \pi r

Where, "r" is the radius of circle

175.84 = 2 \times 3.14 \times r\\\\175.84 = 6.28 \times r\\\\r = \frac{175.84}{6.28}\\\\r = 28

<h3><u>The area of circle is given as:</u></h3>

Area = \pi r^2\\\\Area = 3.14 \times 28^2\\\\Area = 3.14 \times 784\\\\Area = 2461.76 \approx 2462

Thus area of pen is 2462 square feet

4 0
4 years ago
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jenyasd209 [6]
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7 0
3 years ago
Read 2 more answers
which of the following is not a way to represent the solution of the inequality 8x − (5x 4) greater than or equal to −31? a. x g
IgorLugansk [536]
8x - (5x + 4) ≥ -31

8x -5x - 4 ≥ -31

3x ≥ -31 + 4

3x ≥ -27

x ≥ - 9

Answer: a numbe line with a circle on - 9 and shading to the left.

Because that drawing represents the number that are less or equel than -9 and the answer is the numbers greater or equal than -9.
7 0
3 years ago
How many flowers, spaced every 6 in are needed to surround a circular garden with a 150 ft radius.Use 3.14 for pie
kvv77 [185]

Answer:

1884 flowers

Step-by-step explanation:

Radius of the garden=150 ft

To determine the number of flowers needed to surround the circular garden, we first find the perimeter.

\text{Perimeter of a circle=}2\pi r\\\text{Perimeter of the garden=}2X3.14X150=942$ Feet

Since the flowers are spaced every 6 in, we need to convert from inch to feet because we cannot divide different units.

Now, 12 Inch =1 Feet

Therefore, 6 Inch =0.5 feet

To determine the number of flowers, we simply divide the perimeter by 0.5 ft.

Number of flowers=942/0.5

=1884 flowers

5 0
3 years ago
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