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2 years ago

Find the area of the regular polygon. Give the answer to the nearest tenth.

Mathematics

1 answer:

gavmur [86]2 years ago

5 0

Answer:

$\displaystyle 93,5\:in.^2 \approx A$

Step-by-step explanation:

$\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}$

I am joyous to assist you at any time.

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What is the equation of the line that passes through the point (-4,4) and has a<br> slope of -3

Arte-miy333 [17]

Answer: y-4=-3(x+4) or y=-3x-8

Step-by-step explanation:

To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).

y-4=-3(x-(-4)) [multiply]

y-4=-3(x+4)

Another equation could be slope-intercept form. It is y=mx+b.

y-4=-3(x+4) [distribute]

y-4=-3x-12 [add both sides by 4]

y=-3x-8

Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).

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2 years ago

What is 13.89 rounded to the nearest thousandth?

Musya8 [376]

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7 0

2 years ago

A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye

Svetlanka [38]

Answer: The total number of logs in the pile is 6.

Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32 and common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

$a_n=a+(n-10)d.$

Since there are n logs in the pile, so we get

$a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.$

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2 years ago

Miss. Joyce has $72 to spend on parking and admission to the theater.the parking will cost $10, and the mission tickets will cos

leonid [27]

Step-by-step explanation:

15.50n +10=72

15.50×4+10=72

62+10=72

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2 years ago

Simplify the expression (2^3)^-2

snow_lady [41]

1/64

2^3 = 8

8^-2 = 1/64

5 0

2 years ago

Read 2 more answers