What is the area of a regular octagon
having an apothem of 6 meters and a
side length of 7 meters?

Answers

Answer 1

The area of the octagon having an apothem of 6 meters and a side length of 7 meters is 168 meter square

How to the area of an octagon

Using the formula:

Area of an octagon = perimeter * apothem / 2

Note that perimeter of an octagon = 8 a

where a is the length of it's side

Perimeter = 8 * 7

Perimeter = 56 meters

Apothem = 6 meters

Substitute into the formula

Area = 56 * 6/ 2

Area = 336 / 2

Area = 168 meter square

Thus, the area of the octagon is 168 meter square

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Related Questions

What expression below is equivalent to -71n -
29?
A) -29 - 71n
B) 71n + (-29)
C) 29 + 71n
D) -29 - (-71n)

Answers

Answer:

A

Step-by-step explanation:

both numbers are negative, you can rearrange them in any order provided you keep the sign

Answer: Choice A) -29 - 71n

Reason:

An expression in the form -a-b is the same as -a + (-b)

Recall we can add two numbers in any order we want. For instance, 2+3 = 3+2 since both sides are equal to 5. This is the commutative property of addition.

Therefore, the -a + (-b) is the same as -b + (-a) which in turn becomes -b - a

In short:  -a - b = -b - a

This rule lets us say that -71n - 29 = -29 - 71n

Someone please help!!

Answers

Answer:

I believe the answer would be option D

Step-by-step explanation:

the distance formula is

[tex] \sqrt{(x - x1)^{2} + (y - y1)^{2} } [/tex]

So, substituting the values of the coordinates, you will get the answer of D


Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.

Answers

Answer:

14.3 km  (1 d.p.)

Step-by-step explanation:

To find the mean, divide the sum of all data values by the total number of data values.

If Mark ran a mean distance of 13.2 km in five days, we can use the mean distance for each of the 5 days in our calculation.

[tex]\begin{aligned}\implies \sf mean\:distance & = \sf \dfrac{13.2+13.2+13.2+13.2+13.2+20}{6}\\ & \sf =\dfrac{86}{6}\\\\ & = \sf 14.3\:km\:\:(1\:d.p.)\end{aligned}[/tex]

If the center of the small gear is rigidly attached to the center of a bicycle wheel with a radius of 10 inches, how many inches will the bicycle travel with a single rotation of the large gear? the small gear has a radius of 2 inches.

Answers

The distance traveled is 62.8 inches.

How many inches will the bicycle travel with a single rotation of the large gear?

We know that the gear is rigidly attached to the center of the wheel. This means that in one complete rotation of the gear, we also have a complete rotation of the wheel.

Then the distance that the bicycle travel with a single rotation of the gear is equal to the circumference of the wheel, which is:

C = 2*pi*R

Where pi = 3.14 and R is the radius, which we know is 10inches.

Then:

C = 2*3.14*10in = 62.8in

The distance traveled is 62.8 inches.

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A tree height when planted was 5ft. 8inches. It has grown 14ft. 10 inches how much did it grown

Answers

Answer:

Subtraction will happen in this case.
14ft-5ft= 9ft
10 inches-8 inches= 2 inches
So, it grew 9ft. and 2 inches.

The mapping diagram shows a functional relationship.
Domain
Range

3
9
0
3
-1
9
Complete the statement.
f(3) is

Answers

i’m not sure if this is the answer or not but i think it’s 9

wich calculation can be used to find the value of p in the equation p^3=8​

Answers

Answer:

The answer is 2

p³ = 8

p = ³√8

p = 2.

NEED HELP ASAP 1 HOUR LEFT

Answers

Using the vertex of a quadratic function, it is found that:

a) The revenue is maximized with 336 units.

b) The maximum revenue is of $56,448.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

The demand function is given by:

p(x) = 336 - 0.5x.

Hence, the revenue function is:

R(x) = xp(x)

R(x) = -0.5x² + 336x.

Which has coefficients a = -0.5, b = 336.

Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:

[tex]x_v = -\frac{336}{2(-0.5)} = 336[/tex][tex]y_v = -\frac{336^2 - 4(-0.5)(0)}{4(-0.5)} = 56448[/tex]

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The sum of three times a first number and twice a second number is 14. If the second number is subtracted from twice the first number, the result is 7. Find the numbers. The sum of three times a first number and twice a second number is 14. If the second number is subtracted from twice the first number , the result is 7 . Find the numbers . Or as points ​

Answers

Answer: 4, 1

Step-by-Step Explanation:

Let the First Number be ‘x’
Let the Second Number be ‘y’

Framing 2 Equations :-

=> 3x + 2y = 14 (Eq. 1)
=> 2x - y = 7 (Eq. 2)

Multiplying Eq. 2 by 2 :-

=> 4x - 2y = 14 (Eq. 3)

Adding Eq. 1 and Eq. 3 we get :-

7x = 14 + 14
7x = 28
x = 28/7
=> x = 4

Therefore, x = 4

Substitute value of ‘x’ in Eq. 1 :-

3x + 2y = 14
3(4) + 2y = 14
12 + 2y = 14
2y = 14 - 12
2y = 2
y = 2/2
=> y = 1

Therefore, y = 1

Hence,
First Number = 4
Second Number = 1

23 4 Which expression is equivalent to (- 2 1/4)/(- 2/3) ?

Answers

The equivalent expression is: .[tex]3\frac{3}{8}[/tex]

What is expression?

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division)

Given:

(- 2 1/4)/(- 2/3)

=-9/4÷ (-2/3)

= -9/4 * (-3/2)

= 27/8

= [tex]3\frac{3}{8}[/tex]

Hence, the equivalent fraction is [tex]3\frac{3}{8}[/tex].

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Please don't give a long answer

Answers

Part A

2400 - 40x = 600

As she has not studied 600 flashcards still, we subtract unit rate from total.

Part B

40x - 600 = 2400

Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.

Part C

(600 + 40)x = 2400

Here 'x' represent mass. As masses are same for both. They can be joined.

If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes, what is the eye color of the train driver??? :) lol

Answers

If I am driving the train , the colour of the eye will be my eye colour.

What are Logical Questions ?

The questions that do not need critical reasoning while only need logical thinking to find the answer.

It is given that the "If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes"

If I am driving the train , the colour of the eye will be my eye colour.

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is 1 − 3x2 = -y linear

Answers

No. Because the x is raised to the 2nd power the equation is not linear.

what is the square root of 10,000​

Answers

100 and -100 are the two solutions for the square root of 10,000

Answer:

100

Step-by-step explanation:

The square root of 10000 can be written as (10000)1/2. Thus,

(10000)^/2 = (100 × 100)^1/2

(10000)^1/2 = [(100)2]^1/2

(10000)^1/2 = (100)^2/2

(10000)^1/2 = (100)^1

So,

√10000 = 100

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? first equation: 4x − 3y = 34 second equation: 3x 2y = 17

Answers

To eliminate the y terms and solve for x in the fewest steps, the first equation 4x - 3y = 34 should be multiplied by 2, and the second equation 3x + 2y = 17 should be multiplied by 3 before adding them.

Elimination is a process of solving a system of equations to eliminate one variable and solve for the other.

To eliminate the y terms from the equations,

first equation: 4x - 3y = 34, and

second equation: 3x + 2y = 17,

we take the L.C.M. of the coefficients of y, that is 3 and 2, which is 6, and multiply the equation by the value = (LCM of the coefficients/respective coefficient of y).

That is, for :

the first equation, we multiply the equation by (LCM of the coefficients/respective coefficient of y) = 6/3 = 2.

the second equation, we multiply by (LCM of the coefficients/respective coefficient of y) = 6/2 = 3.

Thus, to eliminate the y terms and solve for x in the fewest steps, the first equation 4x - 3y = 34 should be multiplied by 2, and the second equation 3x + 2y = 17 should be multiplied by 3 before adding them.

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The average of 7, 20, and X is 20. what is the value of X?

Answers

Answer:

33

Step-by-step explanation:

do it in reverse

there are 3 numbers

average is 20

that means total is 20 times 3 which is

60

7+20+x=60

27+x=60

x=60-27=

33

Answer:

x = 33

Step-by-step explanation:

we find the "average" of a data set by adding all of the numbers in the data set together, and then dividing by the number of numbers/values present

for example,

the average of 2 and 20

2 + 20 = 22

(there are two numbers, so we divide by 2)

22 / 2 = 11

so, this example has an average of 11

we can apply the same logic to a variable:

we know that

[tex]\frac{20+7+x}{3}[/tex]  = 20

We can now solve for x:

[tex]\frac{20+7+x}{3}[/tex] = 20  

 · 3          ·3      {multiply both sides by 3}

20 + 7 + x = 60  {combine like terms}

27 + x = 60  {subtract 27 from both sides to isolate x}

x  = 33

{check answer:
7 + 20 + 33 = 60

60 / 3 = 20      (divided by 3 because we have 3 numbers) }

so, the value of x is 33

(x = 33)

hope this helps!!

Translate the following statements into algebraic expressions.
One-half of the sum of 8 and x.

Answers

Answer:

1/2(8 + x)

Step-by-step explanation:

In this statement, it tells us to add 8 and x and then multiply that with 1/2.

The histogram to the right represents the weights​ (in pounds) of members of a certain​ high-school math team.
How many team members are included in the​ histogram?

Answers

Answer:

The basic way to calculate the number of members is finding the area under the curve. The total members are 20

Step-by-step explanation:

The given graph shows that how many team members have a particular weight.

The first rectangle shows that 5 team members have a weight of 115kg.

The second rectangle shows that 3 team members have a weight of 115kg.

The third rectangle shows that 2 team members have a weight of 115kg.

The forth rectangle shows that 0 team members have a weight of 115kg.

The fifth rectangle shows that 3 team members have a weight of 115kg.

The sixth rectangle shows that 4 team members have a weight of 115kg.

The seventh rectangle shows that 3 team members have a weight of 115kg.

So, the total team members are = 5 + 3 + 2 + 0 + 3 + 4 + 3 = 20

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The length of a conference room is one and a half times its width. There is a carpet in the
centre of the room. The length of the carpet is twice its width. This leaves a 3m wide
border around the edges of the carpet. Find the area of the carpet.

Answers

The Area of carpet for the given dimension is 72m².

What is Area of rectangle?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.

Let the width of the room w = x m

     and the length, L = 1.5x

Length of carpet + 6 = length of room

2(x-6)+6=1.5x

2x-12+6=1.5x

0.5x=6

  x = 6 / 0.5

  x = 12

length of room x = 12 m

width of room = 18 m

18-6 by 12-6    =    12 by 6 dimensions of carpet

Area of carpet = 12 X 6=72 m²

Thus, the Area of carpet for the given dimension is 72m².

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1. Harry is buying a new conservatory. He says, "The conservatory is a cube shape and the length measures 2m. How much space will his new conservatory take up?
2. The sum of a cubed number and a square number is 150. What are the 2 numbers?
3. Caroline's daughter has an age that is a cubed number. next year her age will be a squared number. How old is she?

Answers

Answer:

1) 8 m^3

2) 125 + 25

3) 8

Step-by-step explanation:

1) It's a cube shape => length = width = height = 2 m

Volume = length × width × height = 2 × 2 × 2 = 8 m^3

2) 5^2 + 5^3 = 150

25 + 125 = 150

3) Now she is 8 years old (8 = 2^3)

Next year she'll be 9 years old (9 = 3^2)

Please someone do this for me

Answers

Answer:

A = -12

B = -8

C = -4

Step-by-step explanation:

[tex]y=2x-8[/tex]

x = -2

[tex]y=2(-2)-8=-4-8=-12[/tex]

A = -12

x = 0

[tex]y = 2 (0)-8=-8[/tex]

B = -8

x = 2

[tex]y = 2 (2) -8 = 4-8 = -4[/tex]

C = -4

Hope this helps

the graph below shows the hourly wage of tina when she was working summer from high school through collage

Answers

The years in which Tina's raise was more than $0.50 an hour over the previous year are

2002

2004

2005

2006

2007

Calculating rate of pay

From the question, we are to determine the years in which her raise was more than $0.50 an hour over the previous year

Considering the graph

From year 2001 to 2002

Her raise was $6.50 - $5.50 = $1.00

From year 2002 to 2003

Her raise was $7.00 - $6.50 = $0.50

From year 2003 to 2004

Her raise was $7.75 - $7.00 = $0.75

From year 2004 to 2005

Her raise was $8.50 - $7.75 = $0.75

From year 2005 to 2006

Her raise was $10.50 - $8.50 = $2.00

From year 2006 to 2007

Her raise was $11.50 - $10.50 = $1.00

Hence, the years in which Tina's raise was more than $0.50 an hour over the previous year are

2002

2004

2005

2006

2007

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The lenght of a rectangle is 50cm its diagonal is 51 cm worl out the area of the rectangle A=LxW

Answers

There is an infinite number of length-width pairs that will result in a diagonal value of c.

Let a = the length. This is unknown.

Let b = the width. This is unknown.

Let c = the diagonal. This is a known value.

We have a right triangle with side a, side b, and hypotenuse c.

Since this is a right triangle, we will use the Pythagorean Theorem.

What is the Pythagoras theorem?

The Pythagorean Theorem is

[tex]c^2 = a^2 + b^2.[/tex]

Rearranging this formula gives

[tex]a^2 = c^2 - b^2[/tex]

And,[tex]a = \sqrt{(c^2 - b^2)}[/tex]

Now, if you chose a value for the width, b, then you can compute the corresponding for the length, b, since c is a known value. If you chose another value for the width, you can compute the length value corresponding to your width value.

There is an infinite number of length-width pairs that will result in a diagonal value of c.

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Blue Jays tickets cost too much! The good folks in charge of Toronto Baseball
have found that for every 50-cent decrease in the average ticket price, 300 extra
tickets will be sold. Right now, the average price of a ticket is $80, and they sell an
average of 30,000 tickets per game. The capacity of the Rogers Centre is 49,282.
Determine the optimal ticket price that maximizes revenue, the new number of
tickets sold, and the amount of extra revenue the Blue Jays will take in per game
when compared to the current revenue.

Answers

The optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.

What is the objective function?

The objective function is simply an equation that represents the goal production capability that relates to maximizing profits from manufacturing.

Current revenue;

⇒ 80 × 3000 = 240000

From the given condition the price decrease by 0.5 times. So that the ticket sold will be 300 times the cost. The inequality relationship is found as;

30000+300x  49282

x≤64

The revenue value is found as;

y = ( 80 - 0.5 x )(30000+300 x)

y=-150 x²+9000 x+2400000

The value of x is found as;

[tex]\rm x= \frac{9000}{150 \times 2 }\\\\ x=30[/tex]

Hence, the optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.

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3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.

Which inequality explains why these three segments cannot be used to construct a triangle?
EF + FD > DE
ED + EF < DF
ED + EF > DF
EF + FD < DE

Answers

Answer:

ED + EF < DF

Step-by-step explanation:

shorter side lengths added together > larger side length

however, smaller side lengths are < larger

So ED + ED < DF means that this cannot be a triangle

Answer:

ED + EF < DF

(second option listed)

Step-by-step explanation:

for a triangle, the sum of the two shorter side lengths must be greater than the larger side length

so we know that the two smaller lengths (DE and FE) would have to add up to be greater than the larger side length (DF)

because this is not the case, we know that we cannot construct a triangle

[to construct a triangle:]

smaller + smaller > bigger

DE + FE > DF; which is false/not the case

so because DE + FE < DF, we cannot form a triangle

so, ED + EF < DF explains why these three segments cannot construct a triangle


what can this be classified as?

Answers

Answer: None of the above

Step-by-step explanation:

Complementary Angles add up to 90

Supplementary Angles add up to 180

Parallel Angles are Supp., Comp., or Congruent

An adult male cheetah runs at a speed of 26 mph. That is 30% faster than his average last month. How fast did the male cheetah run last month?
Sadie makes 1.5 liters of iced tea. She pours of a liter into a pitcher to take to her neighbor. Her sister drinks of the remaining iced tea. How much tea does Sadie’s sister drink?

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The male cheetah's average speed for the last month is 20 mph.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A.) Let the male cheetah's average speed for the last month be represented by x.

Given the male cheetah runs at a speed of 26 mph, that is 30% faster than his average last month.

x + 30% of x = 26 mph

1.30x = 26

x = 20 mph

Hence, the male cheetah's average speed for the last month is 20 mph.

B.) Sadie makes 1.5 liters of iced tea. She pours a liter into a pitcher to take to her neighbor. Her sister drinks the remaining iced tea. Therefore,

Iced tea Sadie's sister drink  = 1.56 liters - 1 liter = 0.56 liter

Hence, the amount of tea Sadie’s sister drinks is 0.56 liters.

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What is the degree of polynomial: 2x- root 5

Answers

Answer: 1

Step-by-step explanation:

[tex]2x-\sqrt{5}=2x^{1}-\sqrt{5}[/tex], and thus the highest exponent of x is 1

# How would you teach English Subject at your Bridge course class,if you were an English Teacher? ​

Answers

english and maths teacher

Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?
(4, 2)
(2, 4)
(–4, –2)
(–2, –4)

Answers

The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)

How to determine the image of point B?

The complete question is added as an attachment

From the attached image, we have the following coordinate

B = (-2, 4)

When the triangle is rotated by 270 degrees, the rule of rotation is:

(x, y) ⇒ (y, -x)

For point B, we have:

B' = (4, 2)

Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)

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