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2 years ago

Finding the area of a regular polygon

Mathematics

1 answer:

ddd [48]2 years ago

5 0

<h2>Solution:</h2>

360° ÷ 10 ÷ 2 = 18°

So the length of the decagon side is:

10 × tan18° × 2 = 20 × tan18°

The area is: ½ × 20 × tan18° × 10 × 10 = 1000 × tan18°

≈ 324.9

.: 324.9 is the final answer.

I hope this helps. 

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Find the largest consecutive integers whose sum is less than 46

zmey [24]

The largest consecutive integers whose sum is less than 46 are x= 21 and x+1=22

Step-by-step explanation:

Let the integers be:

x and x+1

The sum of these integers is less than 46

$x+(x+1)$

Solving and finding value of x:

$x+(x+1)$

So, the integers will be less than 22.5

The largest numbers are: 21 and 22

So, the largest consecutive integers whose sum is less than 46 are x= 21 and x+1=22

Keywords: Finding integers

Learn more about finding integers at:

#learnwithBrainly

5 0

3 years ago

What is a fraction that names the same region part of a set or part of a segment?

Rasek [7]

We know that
the fraction that names the same region part of a set or part of a segment is called Equivalent Fractions

Equivalent Fractions have the same value, even though they may look different.

example

These fractions are really the same:

1/2 = 2/4= 4/8

Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value

the answer is
Equivalent Fractions

4 0

3 years ago

Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in 3 hours and 6 minutes?

Veronika [31]

Answer:

He will bike 26.87 miles.

Step-by-step explanation:

Given:

Jordan bikes at a speed of 8 2/3 mph.

Now, to find the distance he will bike in 3 hours and 6 minutes.

Speed = $8\frac{2}{3}=\frac{26}{3}\ mph.$

Time = 3 hours and 6 minutes

= $180+6=186\ minutes.$

As, 60 minutes = 1 hour.

= $\frac{186}{60} =3.1\ hours.$

So, to get the distance we put formula:

$Distance=speed\times time$

$Distance=\frac{26}{3} \times 3.1$

$Distance=\frac{80.6}{3}$

$Distance=26.87\ miles.$

Therefore, he will bike 26.87 miles.

5 0

3 years ago

The designated market area (DMA) of Boston has approximately 3 million television households. Audience research shows that 45 pe

inna [77]

Answer:

22.2%

Step-by-step explanation:

The Program rating of a program is the percentage of TV households in an area that are tuned to a specific program during a specific time period.

The designated market area (DMA) of Boston has approximately 3 million television households.

Audience research shows that 45 percent of these households had their sets turned on during a particular Saturday evening.

45% of 3 Million = 0.45 X 3000000 = 1,350,000

Out of these 1,350,000, 300,000 households were watching Sports Stories.

Therefore, the program rating for Sports Stories in the Boston DMA is:

$\frac{300000}{1350000} X 100 =22.2\%$

3 0

3 years ago

4x +3y +2x -y what is the answer

dexar [7]

Answer:

6x+2y

Step-by-step explanation:

Solving 4x +3y +2x -y eqn, we get

6x+2y

hope it helps!

7 0

3 years ago

Read 2 more answers

Finding the area of a regular polygon​

Finding the area of a regular polygon