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ser-zykov [4K]
2 years ago
6

The farmer changed their mind and wants to make a square field that encloses exactly 2km2 of area. without a calculator, how wou

ld they compute the length of the required fence, to arbitrary precision?
Mathematics
1 answer:
Leya [2.2K]2 years ago
4 0

The length of the required fence to make a square field that encloses = 5.66 km

For given question,

A farmer wants to make a square field that encloses exactly 2km² of area.

Let 'm' be the side length of the square field.

so, the area of the square field would be,

⇒ A = m²

⇒ 2 = m²

⇒ m = √2 km

We need to compute the length of the required fence.

The length of the required fence would be,

= perimeter of the square field

= 4 × m

= 4 × √2

= 5.66 km

Therefore, the length of the required fence to make a square field that encloses = 5.66 km

Learn more about the perimeter of the square here:

brainly.com/question/11495285

#SPJ4

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4 0
3 years ago
James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?
tatuchka [14]

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

  • James has in a bag 77 of nickels and dimes
  • The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0
4 years ago
How do you do this?
erastova [34]

x is the number you thinkc

that's it

x/2 -4

7 0
3 years ago
Read 2 more answers
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