All categories

2 years ago

Could someone please explain how to solve for the area?

Mathematics

2 answers:

aniked [119]2 years ago

8 0

9514 1404 393

Answer:

280.6 square units

Step-by-step explanation:

The formula for the area of an n-gon with radius r is useful here:

A = (n/2)r²sin(360°/n)

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

A = (6/2)(6√3)²sin(360°/6) = 324sin(60°) = 162√3 ≈ 280.6 . . . square units

larisa86 [58]2 years ago

5 0

FORMULA:

• Area of regular hexagon = 3r²sin60°

ANSWER:

We know the formula, so we just need to plug the respective value.

And 3 × (6√3)² × √3/2

3 × 108 × √3/2
324√3/2
162√3
162 × 1.732
280.6 sq units.

You might be interested in

Kim estimates that the faucet in her kitchen drips at the rate of 1 drop every 2 seconds. Erik wants to know how many times the

gregori [183]

I think it would be 302400

3 0

2 years ago

If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

Ksju [112]

Answer:

Slope = 27/11
AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .
The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .
The length of line AB .

We can find the slope of the line passing through the points $( x_1,y_1)$ and $( x_2,y_2)$ as ,

$\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}$

Plug in the respective values ,

$\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}$

Hence the slope of the line is 27/11 .

$\rule{200}2$

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

$\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }$

Hence the length of AB is 29.15 units .

5 0

2 years ago

Find the output, d, when the input, t, is 11. d = -20+11t d= __

mafiozo [28]

Substitute the given value into the equation

-20 + 11*11

Using BODMAS, you do 11*11 first, which is 121

-20+121

Which is 101

Therefore, d is equal lot 101

4 0

3 years ago

Read 2 more answers

Help meeeeeeeeeeeeeeeeeeeeeeeeeeee

pochemuha

Answer:

Step-by-step explanation:

I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.

In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.

Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.

Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.

That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.

Hope this helps :)

6 0

2 years ago

Please help me!! :(((

Oliga [24]

Answer is below..............

7 0

3 years ago