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2 years ago

Find the area of a regular hexagon with side length 8 in.

2 answers:

tatiyna2 years ago

8 0

Notice, a HEXAgon, has HEXA sides, 6 sides

$\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of one side}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
n=6\\
s=8
\end{cases}
\\\\\\
A=\cfrac{1}{4}\cdot 6\cdot 8^2\cdot cot\left( \frac{180}{6}\right)$

the angle is in degrees, thus, make sure your calculator is in Degree mode, when getting the cotangent

Mazyrski [523]2 years ago

4 0

About 166.28i n²i hope this helps!

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50 points please help!!

igomit [66]

I’m really not to sure sorry about that

8 0

2 years ago

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There are premium tickets costing $99 each and rest are regualr tickets costing $25 each. A pile of 120 tickets have a total val

polet [3.4K]

Answer:

There are 38 premium tickets and 82 regular tickets in a pile.

Step-by-step explanation:

Given,

Total number of tickets = 120

Total amount = $5812

Solution,

Let the number of premium tickets be x.

And the number of regular tickets be y.

Total number of tickets is the sum of total number of premium tickets and total number of regular tickets.

So the equation can be written as;

$x+y=120\ \ \ \ \ equation\ 1$

Again,total amount is the sum of total number of premium tickets multiplied by cost of each premium ticket and total number of regular tickets multiplied by cost of each regular ticket.

So the equation can be written as;

$99x+25y=5812\ \ \ \ equation\ 2$

Now We will multiply equation 1 by 25 we get;

$x+y=120\\25(x+y)=120\times25\\25x+25y= 3000 \ \ \ \ equation\ 3$

Now Subtracting equation 3 from equation 2 we get;

$(99x+25y)-(25x+25y)=5812-3000\\\\99x+25y-25x-25y=2812\\\\74x=2812\\\\x=\frac{2812}{74}=38$

We will now substitute the value of x in equation 1 we get;

$x+y=120\\38+y=120\\y=120-38\\y=82$

Hence There are 38 premium tickets and 82 regular tickets in a pile.

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2 years ago

Which graph represents the arithmetic sequence 8 6 4 2 0

Nataliya [291]

Linear, because the points (1,8) (2,6) (3,4) etc are decreasing at a constant rate of -2.

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2 years ago

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Sami's boss asked him to cut 78⁄5 feet of rope to tie down a load on a truck. How much rope should Sami cut? A. 151⁄5 feet B. 16

Vitek1552 [10]

how many times does 5 go into 78

78/5

it goes 15 times with 3 left over (15*5 = 75 75+3 = 78)

15 3/5 ft

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2 years ago

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Lisa is 6 centimeters taller than her friend Ian. Ian is 10 centimeters taller than Jim. Every month, their heights increase by

Temka [501]

Lan is 146 centimeters tall now.

<u><em>Explanation</em></u>

Let, Lan's current height is $h$ centimeters

As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = $(h+6)$ centimeters and Jim's current height = $(h-10)$ centimeters.