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3 years ago

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

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The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

1 answer:

dybincka [34]3 years ago

5 0

Do 36 divided by the amount of sides the hexagon has. I think I am not sure

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May someone help me out with this please

lions [1.4K]

To work out 7% of 600, this is what you do
7/100 x 600
this will give you your answer
7% of 600 = 42

7 0

3 years ago

The length of the bottom of the triangle is x. Another side is 2 more than three times the length of the bottom of the triangle

aleksandrvk [35]

Answer:

5×x×2× base× high u see me

3 0

2 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

Marlin Davies buys a truck for $28,000. In three years, the truck depreciates 48% in value. How much is the truck worth in three

harkovskaia [24]

In three years the Marlin's truck is worth 13,440$

To find percentage of a number, multiple it with in 0. Of the number.

Example: 28,000 ×. 48

That equals 13,440

So 48% of 28,000 is 13,440

5 0

2 years ago

Read 2 more answers

Solve equation. <br><br> X^2-4x-12 = 0

ser-zykov [4K]

Answer:

Step-by-step explanation:

x2 - 4x - 12 = 0

x2 - 6x + 2x - 12= 0

x(x - 6) + 2(x - 6) = 0

x + 2 = 0

x = - 2

x - 6 = 0

x = 6

5 0

3 years ago