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skelet666 [1.2K]
3 years ago
7

Find the area of the regular polygon with the given radius or apothem.Shape is a hexagon with 4cm inside

Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0

Answer:

55.43cm^2

Step-by-step explanation:

Area of a hexagon given the apothem =  1/2 x perimeter x apothem

apothem = 4cm

To find the perimeter, take the following steps

4 = x√3

x = 4/√3

Multiply by 2

8√3

Since a hexagon has 6 equal sides, multiply by 6

Perimeter = 48√3

Area = (1/2) x  48√3 x 4 = 55.43cm^2

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maxonik [38]

Answer:

1.31,  0.19 to nearest hundredth.

Step-by-step explanation:

1/x  + 1/(x - 1) = 4

Multiply through by x(x - 1):-

x - 1 + x = 4x(x - 1)

4x^2 - 4x = 2x - 1

4x^2 - 6x = -1

4(x^2 - 3.2 x)  = -1

Completing the square:-

4 [ ( x - 3/4)^2 - 9/16] = -1

4(x - 3/4)^2  - 9/4 = -1

4(x - 3/4)^2 =  5/4

(x - 3/4)^2 =  5/16

x - 3/4 = +/- √5 / 4

x  = √5 / 4 + 3/4 ,  -√5 / 4 + 3/4

= 1.31,  0.19 to nearest hundredth.

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4 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
How much will a one time investment of $1000 be when invested at 6% for 40 years and compounded annually. Round your answer to t
Vanyuwa [196]

The one time investment of $1000 would worth $10285.72  after 40 years at 6% rate of return

What is annual compounding?

Annual compounding means that the number of times interest is compounded annually is once, compared to semiannual compounding where the interest on the investment is calculated twice a year.

The worth of the investment after 40 years means its future value after having invested $1000 for 40 years using the below formula for future value of a single cash flow:

FV=PV*(1+r)^N

FV=future worth of investment=unknown

PV=initial investment=$1000

r=rate of return=6%

N=number of years of investment=40

FV=$1000*(1+6%)^40

FV=$1000*1.06^40

FV=$1000* 10.2857179371259

FV=$10285.72

Find out more about future value on :brainly.com/question/24703884

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3 0
2 years ago
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Answer:

$1,560

Step-by-step explanation:

Interest = Principal x Interest Rate x Time (in years)

I = 6500(.04)(6)

I = 1560

7 0
2 years ago
Solve the system of equations using substitution.
Delicious77 [7]

Answer:

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Step-by-step explanation:

x cancel out each other

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