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2 years ago

Walter needs new grass in the circular pen for his chickens. The pen has 308 feet of fencing. What is the area of the pen?

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

3 0

Answer: 7546feet²

Step-by-step explanation:

Since the pen has 308 feet of fencing, this is the perimeter of the circular pen and we can get the raduus which goes thus:

Circumference of a circle = 2πr

2πr = 308

2 × 22/7 × r = 308

44/7 × r = 308

r = 308 × 7/44

r = 49

Therefore, area of the circular pen will be:

= πr²

= 22/7 × 49 × 49

= 7546feet²

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3f+2g=30 and f+2g=26

tatuchka [14]

3f + 2g = 30 . . .(1)
f + 2g = 26 . . . .(2)

(1) - (2) => 2f = 4 => f = 4/2 = 2

From (2), 2 + 2g = 26 => 2g = 26 - 2 = 24 => g = 24/2 = 12

Therefore, f = 2 and g = 12

7 0

3 years ago

Write 15+45 as a product of two factors using the gcf and the distributive property

valkas [14]

Answer:

15(1 + 3)

Step-by-step explanation:

15 written in its prime factors is 3 × 5 (15 × 1)

45 written in its prime factors 3 × 3 × 5 (15 × 3)

The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45

∴ 15 + 45 = 15(1 + 3)

Hope this helps! Make me brainiest, lol it's fine if you don't. : )

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2 years ago

Solve linear equations -4(b+3)-12=2b-16+5b

daser333 [38]

Answer:

$Exact form:b=-\frac{8}{11}\\Decimal form: b=-0.72727272727272727272$

Step-by-step explanation:

$-4(b+3)-12=2b-16+5b$

$-4b-12-12=2b+5b$

$-4b-24=7b-16$

$-4b=7b+8$

3 0

3 years ago

Read 2 more answers

Amelia has 3 gallons of paint .Mason have 10 quarts .How many more pints of paint does AMELIA have then mason.

Ber [7]

Answer:

4 Pints

Step-by-step explanation:

According to the scenario, calculations are as follows,

As we know, 1 gallon = 8 Pints

1 Quarts = 2 Pints

So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints

Mason = 10 quarts = 10 × 2 Pints = 20 Pints

So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints

= 24 pints - 20 pints

= 4 Pints

6 0

3 years ago

Each flower has a specific price. One tulip, one daisy, and 2 mums cost $4.20. On tulip, two daisies and one mum cost $3.80. Two

sineoko [7]

Answer:

The answer to your question is $5.60

Step-by-step explanation:

1 tulip + 1 daisy + 2 mums = $4.20 (1)

1 tulip + 2 daisies + 1 mum = $ 3.80 (2)

2 tulips + 2 mums = $4.80 (3)

1 tulip + 3 daisies + 2 mums = ?

tulip = t daisy = d mum = m

Process

1.- Find the price of each flower using system of equations

Solve equation 3 for tulip

2t = 4.80 - 2 m divide by 2 (4)

t = 2.40 - 1m

2.- Substitute equation 4 in equation 1 and 2

(2.4 - 1m) + 1 d + 2 m = 4.2

(2.4 - 1m) + 2d + 1 m = 3.8

3.- Simplify and solve for each flower

2.4 - 1m + 1d + 2m = 4.2

1d + 1m = 4.2 - 2.4

1d + 1m = 1.8 Equation (5)

2.4 - 1m + 2d + 1m = 3.8

2d = 3.8 - 2.4

2d = 1.4

d = 1.4/2

1d = 0.7

4.- Substitue d in equation 5

1(0.7) + 1m = 1.8

0.7 + 1m = 1.8

1m = 1.8 - 0.7

1m = 1.1

5.- Subtitute m in equation 4

1t = 2.40 - 1(1.1)

1t = 2.40 - 1.1

1t = 1.3

6.- Result

1 tulip + 3 daisies + 2 mums cost = 1.3 + 3(0.7) + 2(1.1)

= 1.3 + 2.1 + 2.2

= $5.6

8 0

3 years ago