The hexagon shown is divided into 4 triangles and a rectangle.

What is the area of the hexagon in square centimeters?

Answer:

165

Step-by-step explanation:

area of a hexagon = 1/2 × apothem × perimeter

to find the perimeter of a hexagon we simply multiply the side length by 6 ( because there are 6 sides in a hexagon )

given side length = 11

so perimeter = 6 × 11 = 66

now to find area

remember area = 1/2 × apothem × perimeter

given apothem = 5 and perimeter = 66

so area = 1/2 × 5 × 66

1/2 × 5 = 2.5

2.5 × 66 = 165

Answer:

6   6, 7, 7

7    0, 1, 2, 4, 4, 5, 6, 7, 7, 8

8    0, 3

9    0

Step-by-step explanation:

If you don't know how to make a stem and leaf plots this how. First you will draw a T-chart then you put the first integer or 10th place number on the left and the ones place number on the right.

Answer: 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

5/8

Odds against event are 5:8

Means ration of not happening of work =

5/8

Sample space has 8+5=13 possibilities

Probability it being to work=

8/13

​

​

Answer:$740

Step-by-step explanation: subtract 750 - 10 and there’s your answer look where it says “The money is taken from his bank account” that’s how you know you should subtract by the word take. Hope this helps

Answer:

Option D, The distributions are somewhat similar

Step-by-step explanation:

Step 1:  Determine the means-to-MAD ratio

Data Set 1 → Mean = 173.5, MAD = 3.9

Data Set 2 → Mean = 161.2, MAD = 4.1

[tex]Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}[/tex]

[tex]Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}[/tex]

[tex]Ratio = \frac{-12.3|}{0.2}[/tex]

[tex]Ratio = -61.5[/tex]

Step 2:  Determine if the distributions are similar or not

Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.

Answer:  Option D, The distributions are somewhat similar

Ray is [tex]x[/tex] years old.

Ron is [tex]y[/tex] years old.

In 2 years, Ron will be two years older than now, so [tex]x+y+2[/tex] years old.

Using the mean concept, it is found that the correct option regarding the sample mean is given by:

b. can be smaller, larger, or equal to the population mean.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

No matter the population mean, the sample mean is calculated as stated above, having no restrictions about it's value, hence option b is correct.

More can be learned about the mean concept at https://brainly.com/question/24628525

#SPJ1

Answer:

D

Step-by-step explanation:

sub in the x value and if its equal to -2 its on that line

Answer:

c. 3/5

Step-by-step explanation:

Answer:

x = 11°

Step-by-step explanation:

Linear Pair

Two angles adjacent to each other that form a straight line.

The sum of angles of a linear pair is always equal to 180°.

⇒ m∠C = 180° - 33° = 147°

Alternate Interior Angle Theorem

When two parallel lines are cut by a transversal, the alternate interior angles are congruent.

From inspection of the diagram, we can see that AB ║ DC.

Therefore, AE is the transversal.

So m∠A = 33°

Sum of interior angles of a triangle is 180°

Therefore, the top angle of the triangle = 180° - m∠A - 2x

                                                                  = 180° - 33° - 2x              

                                                                   = 147° - 2x

Angles around a point add up to 360°

⇒ 33° + m∠C + 5x + (147° - 2x) = 360°

⇒ 33° + 147° + 5x + 147° - 2x = 360°

⇒ 327° + 3x = 360°

⇒ 3x = 33°

⇒ x = 11°

Answer:

x = 11°

Explanation:

============                       [ total interior angle in a triangle is 180° ]

solve for x

Answer:

9

Step-by-step explanation:

700,000

90,000

6,000

100

40

2

Answer:

9

Step-by-step explanation:

796,142

100000  10000    1000  100  10   1

Answer: pages 1-1,450

pages 1-9 = 9 digits

pages 10-99 = 90*2 = 180 digits

pages 100-999 = 900*3 = 2,700 digits

pages 1000-1450 = 451*4 = 1,804 digits

sum = 4,693 digits

{11, 17, 27}

============================================================

Explanation:

Let's go through the answer choices.

Now return back to choice C. Notice how adding any two sides leads to a sum larger than the third side

The three conditions of the triangle inequality theorem are met, so a triangle is possible for choice C.

Answer:

Answer:

[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]

Answer:

$37.5+$3r

Step-by-step explanation:

We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).

We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.

Then, you can add it which is $37.5+$3r

Answer:

-25

Step-by-step explanation:

This question is asking for a composite function.

Let's take this step-by-step!

[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]

(g•f)(3) means [tex]g(f(3))[/tex]

In English, this means we put 3 into f(x), and use the result for g(x).

First let's do f(x):

[tex]f(3) = |3 + 2| = |5| = 5[/tex]

The lines mean "modulus"/"absolute value" which makes any number positive

For example,

[tex]|-3| = 3[/tex]

[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]

Answer:

  -25/7

Step-by-step explanation:

The sum of an infinite series with first term 'a' and common ratio 'r' is ...

  S = a/(1 -r)

Your series has a=-5 and r=-2/5, so the sum is ...

  S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7

The sum of the series is -25/7.

Answer:

41, 243, 2

Step-by-step explanation:

40 + (1 + 2) - 2

=41

3[16 - (2 + 5)]^2

=243

100-50/100-3(2+3)^2

=2

Answer:

Step-by-step explanation:

Circumference is given by the formulas :

[tex]2\pi r[/tex] or [tex]\pi d[/tex]

Since we are given the diameter we can use the second one :

We are told to use 3.14 for π :

C = (3.14)×(16)

C = 50.24

Area of a circle is given by the formula:

[tex]\pi r^{2}[/tex]

To work out r we simply half the diamter:

16÷2 = 8

Now we put this into the area formula:

π(8)² = 64π

We are told to use 3.14 as pi so:

64π = 64×3.14 = 200.96

Answer:

Circumference = 50.24 in

Area = 200.96 in²

Step-by-step explanation:

First, let us find the circumference of the circle.

For that, let us use this formula.

C = π d

Given that,

d ⇒ diameter ⇒ 16 in

Let us find now.

C = π d

C = 3.14 × 16

C =  50.24 in

And now let us find the area of the circle.

Before that, let us find the radius.

d = 2r

16 = 2r

Divide both sides by 2.

8 in ⇒ radius

Let us use the below formula to find the area of the circle.

A = π r²

A = 3.14 × 8 × 8

A = 200.96 in²

Answer: 907.46

Step-by-step explanation:

Answer:

12/13

Step-by-step explanation:

P(not a queen) = 48/52 = 12/13

Answer:

48/52

Step-by-step explanation:

Out of a 52 card deck there are 4 queens

there is  a 48/52 propability you will not be drawn a queen or 92.31% you will not be drawn a queen

Answer:

(-∞,∞)

Step-by-step explanation:

Answer:

the answer is

[tex] \frac{12 {c}^{8} }{ {d}^{2} } [/tex]

Step-by-step explanation:

[tex] \frac{12}{ {c}^{ - 8} {d}^{2} } [/tex]

Answer:

sorry the image isnt clear

Answer:

Can you post it again but clearer

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution~

Standard equation of a circle is represented as :

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

Now, let's plug in the values to find the required equation of circle ~

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y - ( - 10)) {}^{2} = (4\sqrt{3} ) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 16 \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 48[/tex]

The equation of given circle with centre C ( 8 , - 10 ) and diameter ( 8√3 ) is x² + y² - 16x + 20y + 116 = 0

[tex]\quad\rule{300pt}{1pt}\quad [/tex]

The standard equation of Circle is given by :

[tex] {\pmb{\sf {\longrightarrow r^2 = (x-h)^2 +( y-k)^2}} }[/tex]

This is the standard form of the equation. Thus if we know the coordinates of center of the circle and it's radius, we can easily find its equation

Here, in this question we are given that the centre C is ( 8 , -10 ) and diameter 8√3.

[tex] \longrightarrow[/tex]h = 8

[tex] \longrightarrow[/tex] k = - 10

[tex] \longrightarrow[/tex] r = [tex] \sf{\dfrac{diameter}{2}}[/tex]

[tex] \longrightarrow[/tex]‎ r = [tex] \sf 4\sqrt{3}[/tex]

[tex] \qquad\qquad\rule{250pt}{1pt}\qquad[/tex]

On putting the values in the formula :

[tex] \sf{:\implies \qquad r^2 = (x-h)^2+ ( y-k)^2 }[/tex]

[tex] \sf{:\implies \qquad (4\sqrt{3})^2 = ( x-8)^2 +(y-(-10))^2 }[/tex]

[tex] \sf{:\implies \qquad (4)^2.(\sqrt{3})^2=(x-8)^2+(y+10)^2}[/tex]

[tex] \sf{:\implies \qquad 16\times 3 =( x^2 + 8^2 -2\times x \times 8 ) + ( y^2 + 10^2 + 2\times y \times 10 )}[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 + y^2 - 16x + y^2 + 100 + 20y }[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 + y^2 -16 x + 20y + 100 + 64 }[/tex]

[tex] \sf{:\implies \qquad 48 = x^2 +y^2 -16x +20y +164}[/tex]

[tex] \sf{:\implies \qquad x^2 + y^2 -16x +20y +164 - 48 = 0}[/tex]

[tex] \sf{:\implies \qquad{\boxed{ \sf x^2 + y^2 -16x + 20y +116 = 0 }}}[/tex]

‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the required equation of Circle is x² + y² - 10x + 20y + 116 = 0