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Rzqust [24]
3 years ago
9

Regular hexagon ABCDEF is inscribed in a circle with a radius of 2 units.

Mathematics
2 answers:
vodomira [7]3 years ago
6 0
I hope this helps you

VLD [36.1K]3 years ago
5 0
For the triangle with side lengths equal to the radius of the circle is a equilateral.
so all the angles are 60 degrees

side lengths are the same as the radius as shown in the diagram.
so s = 2units

p = 2 x #ofSides
   = 2 x 8 = 16

area of a hexagon formula proof and formula itslef is sligtly complicated.
Instead we can find the area of 1 triangle, and then multiply it by 6, since a hexagon is made up of these 6 triangles

area of triangle = 2x2 /2 = 2

2 x 6  = 12units^2

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What would you do with "X" and "y"<br> using the substitution method?
maw [93]

Answer:

They are used in place fir an unknow value

Step-by-step explanation:

7 0
3 years ago
A jet leaves Reno, Nevada and is headed toward Miami, Florida at a bearing of 100°. The distance between the two cities is appro
Likurg_2 [28]
So hmm, if you notice the picture below

"y" would be the opposite to the 10° angle, and "x" would its adjacent

Reno is "y" north and "x" west from Miami

\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(10^o)=\cfrac{y}{2472}  solve for "y", to see how much north

and \bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\implies cos(10^o)=\cfrac{x}{2472}  solve for "x" to see how much west

make sure, that in both cases, your calculator is in Degree mode, since the angle is in degrees, as opposed to Radian mode


now... for the section B)

if notice the Reno-Miami line, and you were to draw a North line through it, anywhere in between, or at an endpoint like the in the picture at Reno, the "clockwise" angle, will always be the same, 100°

bear in mind ( no pun intended ), that Bearings use the North line, and the clockwise angle from it, as in the picture below

5 0
3 years ago
Please help out guys.
Kobotan [32]

Answer:

39

Step-by-step explanation:

-\left(\left(-1\right)^2-4\right)^3-4\left(-3\right)

=-\left(-3\right)^3-4\left(-3\right)

=-\left(-27\right)-4\left(-3\right)

=-\left(-27\right)-\left(-12\right)

=39

7 0
3 years ago
A test is worth 100 points. There is a total of 26 questions. Spelling questions are worth 2 points each and vocab questions are
8090 [49]

Answer: The spelling questions are 10, while the vocab questions are 16.

Step-by-step explanation: Let the spelling questions be represented by letter p, while the vocab questions should be represented by v. If there is a total of 16 questions as stated, then p + v = 26

Also if there are a total of 100 points obtainable in the test, then spelling questions times 2 points (2p) plus vocab questions times 5 points (5v) equals 100 points. This can be expressed as 2p + 5v = 100

We now have a pair of simultaneous equations as follows

p + v = 26 ———(1)

2p + 5v = 100 ———(2)

Make p the subject of the equation in equation (1). p = 26 - v. Next substitute for the value of p into equation (2)

2(26 - v) + 5v = 100

52 - 2v + 5v = 100

We collect like terms and we have

5v - 2v = 100 - 52

3v = 48

Divide both sides of the equation by 3

v = 16

Now having calculated v, substitute for the value of v into equation (1)

p + 16 = 26

Subtract 16 from both sides of the equation

p = 10

Therefore, the spelling questions equals 10 in all. While the vocab questions equals 16 in all.

7 0
4 years ago
Read 2 more answers
Two possible solutions of √11-2x=√x^2+4x+4 are –7 and 1. Which statement is true? A) Only x = –7 is an extraneous solution.
11111nata11111 [884]

Answer:

Option D)Neither solution is extraneous.

Step-by-step explanation:

we have

\sqrt{11-2x}=\sqrt{x^{2}+4x+4}

we know that

two possible solutions are x=-7 and x=1

<u><em>Verify each solution</em></u>

Substitute each value of x in the expression above and interpret the results

1) For x=-7

\sqrt{11-2(-7)}=\sqrt{-7^{2}+4(-7)+4}

\sqrt{25}=\sqrt{25}

5=5 ----> is true

therefore

x=-7 is not a an extraneous solution

2) For x=1

\sqrt{11-2(1)}=\sqrt{1^{2}+4(1)+4}

\sqrt{9}=\sqrt{9}

3=3 ----> is true

therefore

x=1 is not a an extraneous solution

therefore

Neither solution is extraneous

7 0
3 years ago
Read 2 more answers
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