All categories

2 years ago

Could someone please explain how to solve for the area?

Mathematics

2 answers:

mixas84 [53]2 years ago

8 0

9514 1404 393

Answer:

779.4 square units

Step-by-step explanation:

You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.

One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...

A = (1/2)r²sin(α)

Since there are n such triangles, the area of the n-gon is ...

A = (n/2)r²sin(360°/n)

For a hexagon (n=6) with radius 10√3, the area is ...

A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units

IRINA_888 [86]2 years ago

6 0

Given

=> An Equilateral Hexagon with s = 10√3

To Find

=>The area of the Figure

Step-by-step explanation:

The area of an Equilateral Hexagon = 3√3s²/2

Inserting the value of S

=> 3√3*(10√3)²/2

=> 3√3*300/2

=>3√3*150

=>450√3

=>779.4428

<h2>=> 779.44 squared units</h2>

You might be interested in

IM STUCK WITH THIS, ITS BETWEEN 22 OR 12 CAN SOMONE CHECK? ILL MARK U BRAINIEST

Mkey [24]

Answer:

Step-by-step explanation:

it’s 12 because 4 x 3 = 12

6 0

3 years ago

Read 2 more answers

Solve for x .........

Allisa [31]

Answer:

90x

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

For a statistics class project, a college student randomly samples 75 men who exercise at a gym regularly and 68 women who exerc

pav-90 [236]

Answer:

Step-by-step explanation:

The record of the statistics and the summary statistics which are the missing files in the question are attached below.

From the given information:

The null hypothesis and the alternative hypothesis can be represented by :

$\mathbf{H_o:}$ There is no difference between the average time spend by men and women at gym each week

$\mathbf{H_i:}$ The average time spend by men is greater than the average time spend by women at the gym each week

From the summary statistics in the attached file below:

The p-value = 0.3253

Level of significance = 5% = 0.05

Therefore; it is obvious that the p-value is greater than the level of significance i.e (0.3253 > 0.05)

Hence; there is no enough evidence to reject the null hypothesis

CONCLUSION: We conclude that the mean number of minutes exercised per week is larger for men than women at the this gym.

6 0

3 years ago

Simplify [3(4-2)]x(16-4x3)PLS HURRY!!!!!!!!!

Lapatulllka [165]

Answer:6x*4

Step-by-step explanation:

(12-6)x(16-12)

6x*4

5 0

2 years ago

Read 2 more answers

Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the c

SVEN [57.7K]

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = $x$ pounds

Cost of 1 pound = $8.24

Cost of $x$ pounds = $8.24 $\times x$

Writing the equation as per question statement:

$80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}$

Therefore, 5 pounds of coffee was bought.

3 0

3 years ago