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MArishka [77]
3 years ago
11

Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: \sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} )  }

i) CD=\sqrt{(4-4)^2 +(-1+5)^2}

  CD=\sqrt{0+4^2}

  CD=4 units

ii) DE=\sqrt{(4-2)^{2}+(-5+3)^2 }

 DE=\sqrt{(2)^2+(-2)^2}

 DE=\sqrt{8}

 DE= 2 units

iii) ED=\sqrt{(2-4)^2+(-3+1)^2}

   ED=\sqrt{(-2)^2+(-2)^2}

   ED=\sqrt{8}

   ED= 2 units

perimeter of polygon= 2 units+ 2 units+ 4 units

                                  =8 units

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
2) Marion deposited $12,000 into her saving account for 10 years with simple annual interest rate of 5%. Cameron deposited $12,0
morpeh [17]

Answer:

Marion’s account will have $237 more at the end of 10 years

Step-by-step explanation:

Firstly, we calculate the amount that will be in Marion’s account after 10 years.

To calculate this, we use the formula for simple interest

I = PRT/100

where I is the interest accrued for the period of years

P is the amount deposited = $12,000

R is the rate = 5%

T is the time which is 10 years

Plugging these values into the equation

I = (12,000 * 5 * 10)/100 = $6,000

The amount after 10 years is thus the sum of the amount deposited and the interest accured = $12,000 + $6,000 = $18,000

Now for Cameron, we use the compound interest formula

A = P(1+r/n)^nt

Where A is the amount in the account after the number of years

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r is the interest rate = 4% = 4/100 = 0.04

n is the number of times per year the interest is compounded. Since it is annually, n = 1

t is the time which is 10 years

We plug these values and we have;

A = 12,000(1 + 0.04/1)^(1 * 10)

A = 12,000 (1.04)^10

A = $17,763 ( to the nearest whole dollars)

Since 18,000 is greater than 17,763, the amount in Marion’s account will be greater at an amount of (18,000 - 17,763) = $237

6 0
3 years ago
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Gnoma [55]

Answer:

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Step-by-step explanation:

n to the power of 2 (squared), multiplied by 4

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Answer:

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Step-by-step explanation:

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tamaranim1 [39]
For this problem I got (20/r)-(20/s). 
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3 years ago
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