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3 years ago

A regular hexagon is shown.

Mathematics

2 answers:

-BARSIC- [3]3 years ago

8 0

Answer:

Step-by-step explanation:

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Given the hexagon with a radius of 10 inches

The apothem AB divides the side of the hexagon into two equal parts of 5 Inches as seen in the attached diagram.

Using Pythagoras Theorem

$10^2=5^2+|AB|^2\\|AB|^2=10^2-5^2\\|AB|^2=75\\|AB|=\sqrt{75}\\ |AB|=8.66$ in\\\approx$ 9 in (rounded to the nearest inch)$

<u>The correct option is C</u>

Sveta_85 [38]3 years ago

8 0

Answer:

Its 9 just took the test

Step-by-step explanation:

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I NEED HELP PLEASE ASAP!!

sleet_krkn [62]

Option C:

The value of x is 27.

Solution:

Given exterior angles are 56°, 2x°, 85°, 57° and 4x°.

<em>Sum of exterior angles of a polygon = 360°</em>

⇒ 56° + 2x° + 85° + 57° + 4x° = 360°

⇒ 198° + 6x° = 360°

Subtract 198° from both sides of the equation.

⇒ 6x° = 162°

Divide by 6 on both sides, we get

⇒ x° = 27°

⇒ x = 27

The value of x is 27.

Option C is the correct answer.

5 0

2 years ago

Which equation is equivalent to 4s=t+2

Paraphin [41]

Answer:If we're solving for t my work is below:

t = 4 s - 2

If we're solving for s my work is below:

s = t + 2/4

Step-by-step explanation:

7 0

2 years ago

Write an inequality that would include the point (3,78), (0,312), (5,10) to be part of the solution.

just olya [345]

Answer:

We want to write an inequality with the points (3, 78), (0, 312) and (5, 10) as solutions.

Then the set of the x-values is {0, 3, 5}

The set of the y-values is {10. 78. 312}

So if we wrote an inequality like:

y > 5

It would include all these solutions, because:

10 > 5

78 > 5

312 > 5

And this has no restriction on the x-variable, so all the x-value range can be a solution, meaning that the points (3, 78), (0, 312) and (5, 10) are solutions to that inequality.

Another one (also trivial) can be:

x < 9

because:

3 < 9

0 < 9

5 < 9

And we have no restriction on the y-values, then the points (3, 78), (0, 312) and (5, 10) are solutions to that inequality.

8 0

2 years ago

HELP EASY PROBABLILITY QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

ella [17]

Answer:

0.43

Step-by-step explanation:

2+3+1+1=7

7*4+28==Area of full shape

(2*4)+(1*4)=12==Area of shaded shapes

12/28=0.428571>rounded up>0.43

3 0

2 years ago

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This is the graph of f(x). what is the value of f(3)

muminat

f(3) is where the line is on the Y axis when X is 3:

Looking at the red line when it passes over X3, the line is on Y8.

The answer is B.8

4 0

3 years ago

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