Answer:
square inches.
Step-by-step explanation:
<h3>Area of the Inscribed Hexagon</h3>
Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be 
inches (same as the length of each side of the regular hexagon.)
Refer to the second attachment for one of these equilateral triangles.
Let segment 
be a height on side 
. Since this triangle is equilateral, the size of each internal angle will be 
. The length of segment
.
The area (in square inches) of this equilateral triangle will be:
.
Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:
.
<h3>Area of of the circle that is not covered</h3>
Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is inches, the radius of this circle will also be inches.
The area (in square inches) of a circle of radius inches is:
.
The area (in square inches) of the circle that the hexagon did not cover would be:
.
The power(P) of the circuits is the product of the voltage (V) in volts and current(I) in amperes.
P = IV
Substituting the known values to the equation,
P = (250 amps) x (40 volts) = 10,000 Watts
Thus, the answer is 10,000 Watts.
If you are needing to find the distance between the two points, you must use a simple formula, cleverly named, the distance formula. Since I can't input special characters into the answer box, I'll explain it the best I can.
( The square root of ( (x - x)^2 + (y - y)^2 ) )
First, we need to find the first x subtracted from the second x, as so:
(4,5) and (7,-9)
4 - 7 = -3
Now, we square the -3.
-3^2 =
-3 * -3 = 9
Next, we have to find the first y subtracted from the second y.
(4,5) and (7,-9)
5 - (-9) = 14
Now, we square the 14.
14^2 =
14 * 14 = 196
Let's see how the numbers fit in the formula:
sqrt((x - x)^2 + (y - y)^2)
sqrt((4 - 7)^2 + (7 - (-9))^2)
sqrt((-3)^2 + (14)^2)
sqrt( 9 + 196 )
This is where we currently are in the formula, all we have to do now is square root the total of 9 + 196.
sqrt( 9 + 196 )
sqrt( 205 )
The square root of 205 = 14.31782106...
There are a few answers you can consider:
1) sqrt(205)
2) 14.32 units
or
3) 14.31782106
Depending on the answer you desire, use the one that sounds the most correct to you. Although all three are correct, it may not be the answer you require.
Hope I could help! If my math is incorrect, or I provided answers you were not looking for, please let know! However, if my answer is correct and well explained, please consider marking my answer as <em>Brainliest</em>! :)
Have a good one.
God bless!
Answer: Center: (0,0)
Vertices: ( √3 , 0 ) , ( − √3 , 0 )
Foci: ( √6 , 0 ) , ( − √6 , 0 )
Eccentricity: √2
Focal Parameter: √6/2
Asymptotes: y = x , y = − x
How to: Rewrite in vertex form and use this form to find the vertex ( h , k ) .
Have a great day and stay safe !
