Find the missing measures in this regular hexagon. a regular hexagon has side lengths of 16 inches. the radius is 16 inches. an apothem is shown. the length of the apothem of the hexagon is about inches. the perimeter of the hexagon is inches. the area of the hexagon is about square inches.

The answer is B

seeing there are 3 way to put it

(a+b)(a-b)=a 2-b 2

(a+b)(a-b)=a^2-b^2

(a+b)(a-b)=a2-b2

and option B matches with the second way to put it i hope this helps

Answer:

Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}

= 6

Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}

=4

P( A is besides C)= 4/6

Step-by-step explanation:

Displacement = 576 m

Time taken = 32s

Now

[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]

As both left side is same

There is no solutions .

Answer:

no solutions

Step-by-step explanation:

Given equations:

Rewrite the given equations to make y the subject:

Equation 1

[tex]-x+y=8[/tex]

[tex]\implies y=x+8[/tex]

Equation 2

[tex]2x-2y=-14[/tex]

[tex]\implies 2y=2x+14[/tex]

[tex]\implies y=x+7[/tex]

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

As both equations have the same slope, the lines are parallel and therefore there is no solution to the system of equations as the lines do not intersect.

Answer:

x=4, y=9

Step-by-step explanation:

Solve with substitution.

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

     (look at the diagram attached for a better understanding)

Information Given:

Information Wanted:

Solve:

   [tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!

Answer:

5

Step-by-step explanation:

Simplification:

[tex]\sqrt{2^3-7} + |-4|[/tex]

[tex]\sqrt{1} + 4[/tex]

1 + 4

5

Answer:

50 - 4x = 154;

Step-by-step explanation:

50 - 4x = 154

154 - 50 = 104

104 / 4 = 26

x = 26

Answer:

5/7.

Step-by-step explanation:

The rise = 5 and the corresponding run si 7.

Answer:

5/7

Step-by-step explanation:

so we start at the point (0,0). the slope is essentially

Rise/Run

so in this graph we see a point of (7,5)

the rise was 5 along the y axis and the run was 7 along the x axis.

so 5/7 is correct

Answer:

[tex]x= \dfrac 45[/tex]

Step by step explanation:

[tex]-2(20x+2) = -36\\\\\implies 20x +2 = \dfrac{-36}{-2} = 18\\\\\implies 20x = 18 - 2=16\\\\\implies x = \dfrac{16}{20}=\dfrac{4}5[/tex]

Answer:

1 solution

Step-by-step explanation:

3(2x-7)=9

dustribute: (3)(2)+(3)(-7x)=9

6+-21x=9

subtract 6 from both sides: -21x=3

Divide both sides by -21: x=-1/7

so your 1 solution is x = - 1/7

Answer:

2.3% is the percentage of the Salary

Step-by-step explanation:

Area of triangle:-

Area of rectangle (Including semicircle)

Area of semicircle

TOTAL area:-

Answer:

231.48 cm²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.

Area of the rectangle:

= 12 x 21

= 252 cm²

Area of the semicircle:

= 1/2 π(12 ÷ 2)²

= 1/2 · 3.14 · 6²

= 1/2 · 3.14 · 36

= 56.52 cm²

Area of the triangle:

= 1/2 x 6 x 12

= 36 cm²

Shaded area:

= area of rectangle - area of semicircle + area of triangle

= 252 - 56.52 + 36

= 194.48 + 36

= 231.48 cm²

Answer:

7/5 y intercept 1

Step-by-step explanation

Answer:

B: slope 5/7 Y-intercept is 1

Step-by-step explanation:

To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.

The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.

the Y intercept is 1 because on the vertical line the line passes through 0,1.

Option (4) all real numbers greater than or equal to -3

Step-by-step explanation:

Domain: Domain of function is defined by the x-values (Input values) on the graph.

Range: Range of a function is defined by the y-values (output values) on the graph.

x-values are starting from (-3) to infinity.

Therefore, domain of the function will be all real numbers greater than equal to (-3). Option (4) will be the answer.

The domain of the function are all real numbers greater than or equal to -3.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given is a graph, we need to find domain of the function on the graph,

Domain is the set of all possible inputs or x-values, for which the given function is defined.

The given graph is defined form -3 to positive infinity. The point -3 included in the set of input because there is a closed circle at x=-3.

So, domain of the function are all real numbers greater than or equal to –3.

Hence, the domain of the function are all real numbers greater than or equal to -3.

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Answer and explanation:

Take the area formula:

A = L * W

Then manipulate it to fit the context of which unknown you are finding:

Problem 1

[tex]\dfrac{36 = 4 * W}{4}[/tex]

[tex]9 = W[/tex]

So, the length of side c is 9 mm.

Problem 2

[tex]\dfrac{21 = W * 21}{21}[/tex]

[tex]1 = W[/tex]

So, the length of side a is 1 m.

Problem 3

[tex]\dfrac{49 = 7 * W}{7}[/tex]

[tex]7=W[/tex]

So, the length of side t is 7 cm.

Answer:

AnB = { 2,4}

Step-by-step explanation:

A={1,2,3,4,5} and B={2,4}

AnB  means A intersect B or what is common to both A and B

AnB = { 2,4}

Answer: 25

Step-by-step explanation:

Answer:

53 units

Step-by-step explanation:

Let [tex](x_1,y_1)\rightarrow(8,3)[/tex] and [tex](x_2,y_2)\rightarrow(53,31)[/tex] to use the distance formula:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(31-3)^2+(53-8)^2}\\\\d=\sqrt{(28)^2+(45)^2}\\\\d=\sqrt{784+2025}\\\\d=\sqrt{2809}\\\\d=53[/tex]

Thus, the distance between the two points is 53 units

Answer:

Step-by-step explanation:

The student used the commutative property of addtion on the right hand side, which is correct because reordering the addends doesn't affect the value of the expression.

The student used additive commutative property for the first step.

According to this property, when two numbers or integers are added, the sum remains the same even if we change the order of numbers/integers. This property is also applicable in the case of multiplication. It can be represented as; a + b = b + a.

The student used a + b = b + a

3a + b = 2 + 7 - 5a = 2 - 5a + 7

Because add two numbers, exchange the position of the addend, and sum of them remain same.

This is a additive commutative property.

Hence, the student used additive commutative property for the first step.

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Answer:

(0,0)

Step-by-step explanation:

x value of vertex = -b/2a

ax^2+bx+c

-2x^2+0x+0 sinc you have no value of b & c in your quadratic function

-b = 0

2a = (2)(-2)

-b/2a = (0/-4) = 0

x value of the vertex = 0

plug 0 in for all values of x in the function to find y coordinate value

-2(0)^2 = 0

(x,y) = (0,0)

Answer:

8.09

rounded to the nearest tenth ; 8.1

Step-by-step explanation:

Mean is adding all the data together than dividing by the number of data points

7.9 + 7.8 =

15.7 + 7.7 =

23.4 + 8.8 =

32.2 + 9.2 =

41.4 + 8.7 =

50.1 + 7.3 =

57.4 + 8.0 =

65.4 + 7.9 =

73.3 + 7.6 =

80.9

80.9 / 10 = 8.09

rounded to the nearest tenth = 8.1

Answer:

-a^2-a+12

Step-by-step explanation:

Answer:

Option C.

[tex]-a^{2}-a+12[/tex]

Step-by-step explanation:

1.  Distributive multiply

[tex]-a*(a+4)+3*(a+4)[/tex]

2.  Distributive multiply

[tex]-a*a-a*4+3*(a+4)[/tex]

3.  Multiply terms to exponential form

[tex](-1) *a^{2}-a*4+3*(a+4)[/tex]

4.  Multiply constants

[tex]-a^{2}-4*a+3*(a+4)[/tex]

5.  Distributive multiply

[tex]-a^{2}-4a+(3*a+3*4)[/tex]

6.  Multiply constants

[tex]-a^{2}-4a+(3a+12)[/tex]

7.  Reorder terms

[tex]-a^{2} -4a+(12+3a)[/tex]

8.  Add terms

[tex]-a^{2}-a+12[/tex]

Answer:

50 degrees

Step-by-step explanation:

the attached photo might help