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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>

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Please help me with my math

Taya2010 [7]

3x + 22 is the equation that represents the perimeter of the triangle. 4x + 10 is the perimeter of the rectangle. Setting the two equal:

$3x + 22 = 4x + 10$

and collecting like terms:

$x=11$

We find that the perimeter of both shapes is equal to 11 units.

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3 years ago

Solve for x and y. 4x-3y=16 -2x+4y=-2 DUE 2/7/17!

Trava [24]

$\left \{ {{4x-3y=16\:(I)} \atop {-2x+4y=-2\:(II)}} \right.$

Multiply the 2nd equation by (-4). This will eliminate the x's when you add the two new equations together.
 $\left \{ {{4x-3y=16\:\:\:\:\:\:\:\:\:\:} \atop {-2x+4y=-2\:*(-4)}} \right.$
$\left \{ {{\diagup\!\!\!\!4x-3y=16} \atop {-\diagup\!\!\!\!4x+8y=-4}} \right.$
--------------------
$5y = 12$
$\boxed{\boxed{y = \frac{12}{5}}}\end{array}}\qquad\quad\checkmark$

Let's replace the value found in the first equation:
$4x-3y=16\:(I)$
$4x-3*( \frac{12}{5}) =16$
$4x - \frac{36}{5} = 16$
least common multiple (5)
$\frac{20x}{\diagup\!\!\!\!5} - \frac{36}{\diagup\!\!\!\!5} = \frac{80}{\diagup\!\!\!\!5}$
$20x - 36 = 80$
$20x = 80 + 36$
$20x = 116$
$x = \frac{116}{20} \frac{\div4}{\div4} \to\: \boxed{\boxed{x = \frac{29}{5} }}\end{array}}\qquad\quad\checkmark$

4 0

3 years ago

Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 40

svet-max [94.6K]

Answer:

The required equation is $P(t) = -52t + 480$

Step-by-step explanation:

Consider the provided information.

Let P represent the number of pages left to read after t hours.

Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read.

Total number of page Shryia read in 1.5 hours is:

480-402 = 78

It is given that the rate is constant i.e 1.5 hours,

Therefore, she read 78 pages in 1.5 hours.

She can read $\frac{78}{1.5} = 52$ page per hour

The required equation is:

$P(t) = -52t + 480$

Where t represents the number of hours.

8 0

3 years ago

Read 2 more answers

18,20/4.5,5 what is the slope

Lyrx [107]

Answer:

10/9 or 1.1 repeating

Step-by-step explanation:

Use formula y2-y1/x2-x1.

If you liked my answer please make it the brainliest that would be much appreciated. Thanks!

7 0

3 years ago

(there is an attachment)

lara31 [8.8K]

Area of a Triangle = 1/2 * base * Height

2.5 = 1/2 * 2 * h

2.5 = 1 * h

h = 2.5 /1

h = 2.5 in

In short, Your Answer would be: Option C

Hope this helps!

7 0

3 years ago