Two consecutive vertices of a regular octagon are located at (1, 4) and (4,8). This octagon's perimeter is.....?

Answers

Answer 1

Answer:

40 units

Step-by-step explanation:

An octagon is a polygon with 8 sides. A regular octagon is an octagon in which all their sides and angles are equal to each other.

Since the vertices of a regular octagon are located at (1, 4) and (4,8), hence the length of the side is gotten using the formula for calculating the distance between two points [tex]X(x_1,y_1)\ and\ Y (x_2,y_2)[/tex].

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence:

[tex]Length=\sqrt{(4-1)^2+(8-4)^2}=5\ units[/tex]

Since all the sides of a regular octagon are equal, therefore:

Perimeter = 8 × length = 8 × 5 = 40 units


Related Questions

Complete the table for this equation

Answers

Answer:

x=2

y= -4/3

y=2/3

x=-4

Step-by-step explanation:

4x-6(0)=8

4x-0=8

4x=8

x=2

4(0)-6y=8

0-6y=8

-6y=8

y=-4/3

4(3)-6y=8

12-6y=8

-6y=-4

y=2/3

4x-6(-4)=8

4x+24=8

4x=-16

x=-4

Susan runs 2 1/2 miles in 0.25 of an hour.what is the unit rate in miles per hour?

Answers

Susan runs 10 miles per hour

Let P be a point not on line k Let p be the image of P after a reflection about the line K and let A any point on line k. Determine whether each statement below is true for all points P true for some points P or not true for any points P

Answers

Answer: true false some true

Step-by-step explanation:

3. What is the y-intercept of the line
5x – 3y = 15? Write your answer as an ordered
pair.

Answers

I hope the answer is (10/-3,5/-3) according to my knowledge

Answer:

(0, -5)

Step-by-step explanation:

For Y-intercept: put X = 0

5x-3y=15

-3y=15-5x

3y=-15+5x

y=-5+5/3x

y=5/3x-5

can someone make this for me with a compass but just different colors please

Answers

Answer:

so basically you want a drawing identical to that just with different colours?

What is the solution to the inequality?​

Answers

Answer:

B.

Step-by-step explanation:

-6<x<6

k(x) = 6x – 12; k(x) = 18

Answers

Answer:

x=5

Step-by-step explanation:

k(x)=6x–12

18=6x–12

18+12=6x

30=6x

30/6=6x/6

x=5

i think it is clear answer.

36. Please help me it’s my last question

Answers

Answer:

7in. in length and 6in. in width.

Step-by-step explanation:

Divide the number of feet by 3.

Solve the inequality. 1 2 (8x − 4) − 2 3 (9x + 6) ≤ 9 The solution is .

Answers

Answer:

[tex]x\geq-1.\overline{756}[/tex]

Step-by-step explanation:

[tex]1 2 (8x -4) -23 (9x + 6)\leq 9\\\\96x-48-207x-138\leq9\\\\(96-207)x+(-48-138)\leq9\\\\-111x-186\leq9\\\\-111x\leq9+186\\\\-111x\leq195\\\\111x\geq-195\\\\x\geq\frac{-195}{111}\\\\x\geq-\frac{65}{37}\\\\x\geq-1.\overline{756}[/tex]

solve 86.5=2l+2(2l-40.75)

Answers

Answer:

[tex]86.5=2l+2(2l-40.75)\\86.5=2l+4l-81.5\\6l=86.5+81.5\\6l=168\\l=28[/tex]

l=28

Jen and Nikki are making bracelets to sell at the local market. They determined that each bracelet would have eight beads and two charms. Create 5 ordered pairs (charms, beads) that could be used to graph this relationship

Answers

Answer:

Step-by-step explanation:

Ordered Pair1: (8,2)

2:(8*2,2*2)=(16,4)

3:(8*3,2*3)=(24,6)

4: (8*4,2*4)=(32,8)

5: (8*5,2*5)=(40,10)

plot the x intercepts,maxima and minima of y=cos(x) from 0 to 2pi

Answers

Answer:

Figure of the function is included below as attachment.

Step-by-step explanation:

Let [tex]y = \cos x[/tex]As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.

x-Intercepts

x-intercepts are those points of the function such that [tex]y = 0[/tex]. That is:

[tex]\cos x = 0[/tex]

In this case, there is a periodicity of π for [tex]y = 0[/tex]. The x-intercepts are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0.5\pi\pm\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Maxima

Maxima are those points of the function such that [tex]y = 1[/tex]. That is:

[tex]\cos x = 1[/tex]

In this case, there is a periodicity of 2π for [tex]y = 1[/tex]. Maxima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Minima

Minima are those points of the function such that [tex]y = -1[/tex]. That is:

[tex]\cos x = -1[/tex]

In this case, there is a periodicity of 2π for [tex]y = -1[/tex]. Minima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=\pi\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.

A chord in a circle is 16cm long and its perpendicular distance from the centre is 6cm. what is the radius of the circle​

Answers

Answer:

10 cm

Step-by-step explanation:

the perpendicular from centre bisect the chord in equal halves. hence you can use pythagoras therom as

r^2 = 6^2 + 8^2

a product p and six is wrtten as

Answers

Answer:

6p

Step-by-step explanation:

Answer: 6p

Explanation: The word "product" is a

keyword that tells us to use multiplication.

So your answer can be written as 6 · p or just 6p.

Don't write your answer as p6.

Even though it's technically correct, I would always put

the number before the variable as a matter of form.

Please help me answer this <3

Answers

Answer:

x = 30

Step-by-step explanation:

15 = 1/2x

multiply both sides of equation by 2

30 = x

If a seed is planted, it has a 95% chance of growing into a healthy plant. If 10 seeds are planted, what is the probability that exactly 2 don't grow?

Answers

Answer:

The probability that exactly 2 don't grow is 0.075 or 7.5%

Step-by-step explanation:

Binomial Distribution

Let's consider a random experience with only two possible outcomes. Call p to the probability that the event has a successful outcome and q to the unsuccessful outcome.

It's clear that p+q=1, or q=1-p.

Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:

[tex]\displaystyle P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]

Where  

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

For the problem to solve, each seed has a p=0.95 probability of growing into a healthy plant. The value of q=1-0.95=0.05.

The experience is repeated n=10 times and we want to estimate the probability that 2 of them don't grow. Note this last data is not directly the value of x because it's not related to success but with no success. The value of x is x=10-2=8. That means, 8 out of 10 seeds grow.

Apply the formula:

[tex]\displaystyle P_{8} = {10 \choose 8} \cdot 0.95^{8} \cdot 0.05^{10-8}[/tex]

[tex]\displaystyle P_{8} = 45\cdot 0.95^{8} 0.05^{2}[/tex]

[tex]\displaystyle P_{8} = 0.075[/tex]

The probability that exactly 2 don't grow is 0.075 or 7.5%

Amanda wrote a list that contained only multiples of 16. Which of the following lists could be Amanda’s list?

Question 2 options:

{1, 2, 4, 8, 16}


{16, 32, 48, 64, 80}


{16, 32, 42, 64, 84}


{4, 8, 12, 16, 20, 24, 28}

Answers

Answer:

2nd answer. (16,32,48,64,80)

Step-by-step explanation:

What is 4/7 plus 5/28 in simplest form I am not sure

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

To add fractions, they must have common denominators

convert them to common denominators

4/7 × 4/4 = 16/28

now their denominators are the same

16/28 + 5/28

add the numerators

16 + 5 = 21

21/28

Both the numerator and the denominator can be divided by 7

3/4 is the simplest form

Your grandma pays upfront for you to go on an overnight trip with the school, which costs $340. You make a deal that you’ll give her $25 per month until you pay it all back. How will you pay Grandma?

Answers

Answer:

350

Step-by-step explanation:

pretty easy just dived

You pay $350 to Grandma.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Grandma  pays upfront for you to go on an overnight trip with the school, which costs $340.

And, You make a deal that you’ll give her $25 per month until you pay it all back.

Now,

Let the number of months to pay Granma = x

Then, we can formulate;

$25x = $340

x = 13.6

After rounding,

x = 14

So, We pay 14 months to grandma;

Hence, The cost to pay grandma in 14 months = 14 x $25

                                                                        = $350

Therefore, You pay $350 to Grandma.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Please help it's due today!!!!!!

Answers

Answer:

See Below

Step-by-step explanation:

We are given 3 equations.

3x + 8

5x - 20

and

5x + 4y

First lets solve for x using the first two

3x + 8 = 5x -20

Move the variables to one side

3x + 8 = 5x -20

-3x        -3x

8 = 2x -20

+20     +20

28 =2x

28/2 =2x /2

14 = x

Now we have x = 14

Lets plug this into the second equation to solve for the angle

3(14) + 8

42 + 8 = 50

5(14) - 20

70 - 20 =50

Now, lets plug the x and the angle into the third equation to find y

5 (14) +4y = 50

70 + 4y = 50

-70           -70

4y = -20

4y/4 = -20/4

y = -5

So now we have:

x = 14

y = -5

and the angle = 50

Hope this helps!

Rectangle a measures 9 inches by 3 inches. Rectangle b is a scaled copy of rectangle a .select a set of measurement pairs that could be the dimensions of of rectangle b

Answers

Answer:

Dimensions of Rectangle B will be 9x inches by 3x inches where x is a scaling factor.

Step-by-step explanation:

Scaled Copy: It means that the rectangle A is related to rectangle B by some scaling (multiplying) factor x.

As we are given Dimensions of rectangle A =  9 inches by 3 inches

Then for any scaling factor x the dimensions of rectangle B will be:

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimension of rectangle B = x * (9 inches by 3 inches)

Dimensions of rectangle B = 9x inches by 3x inches

For more understanding let we assume that rectangle B is scaled copy of rectangle A by scaling factor x=3; then we will have the dimensions of rectangle B as under:

For scaling factor (x) = 3;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 3 (9 inches by 3 inches)

Dimensions of rectangle B = 27 inches by 9 inches

On the other hand for scaling factor x=0.75, the dimensions of rectangle B will become as under;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 0.75 (9 inches by 3 inches)

Dimensions of rectangle B = 6.75 inches by 2.25 inches

Please Help! FAST! Multiple Choice! Brainlest!

Answers

Answer:

B is the answer

Step-by-step explanation:

the rulers at store a cost much

The measures of two vertical angles are 29° and (2x + 3)º. Find the value of x .

Answers

Answer:

Vertical Angles!

Step-by-step explanation:

Very simple!

Vertical angles are a pair of angles that are equal in degree measure.

Essentially, they are equal to each other. Nothing more to it.

This means that [tex]29=2x+3[/tex]!

I presume you have done math before, so this solves to be: [tex]x=13[/tex]

(I don't have a degree sign, but it should be there in your answer.)

Hope this helps!

P.S. How's life?

A test has been developed to detect a particular type of arthritis in individuals over 50 years old. From a national survey it is known that approximately 10% of the individuals in this age group suffer from this form of arthritis. The proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease. What is the probability that an individual has this disease given that the test indicates its presence

Answers

Answer:

The probability that an individual has this disease given that the test indicates its presence is 0.1

Step-by-step explanation:

Let A be the event which indicates Having disease

Let B be the event in which test indicates that disease presence

Now we are given that 10% of the individuals in this age group suffer from this form of arthritis

So, P(A)=0.1

We are also given that the proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases.

P(B|A)=0.85

Now we are given that. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease

So,P(B|A')=0.04

We are supposed to find  the probability that an individual has this disease given that the test indicates its presence i.e. P(A|B)

So we will use Bayes theorem

[tex]P(A|B)=\frac{P(B|A) P(A)}{\sum P(B|A) P(A)}[/tex]

[tex]P(A|B)=\frac{0.85 \times 0.1}{0.85 \times 0.1+0.85 \times 0.9}=0.1[/tex]

Hence the probability that an individual has this disease given that the test indicates its presence is 0.1

5. The list of ordered pairs below represents a function: (12, 6), (3, 1), (2,-2), (5, 10), (-8,-4) Which of the following could be the missing ordered poin? 8. A. (21) B. (12,7 C.-8. B D.-3.-4 will mark brainiest answer us not b​

Answers

Answer:

21

Step-by-step explanation:

just took the test

Answer

I believe D or C

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

Write a slop-intercept equation for a line that passes through (4,0) and (-5,6)

Answers

Answer: -2/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6-0/-5-5

-6/9

-2/3

Answer:

y=-2/3x+10 1/3

Step-by-step explanation:

y=mx+b (m = slope)

(Equation) y2-y1/x2-x1

= 6-0/-5-4

= -6/9

= -2/3

y-y1 = m(x-x1)

y-6 = -2/3 +5

y-6 = 4 1/3

y = 10 1/3

Use the labled point to write a point slope form for the line

Answers

Answer:

The point-slope form of the line is y - 3 = -2(x + 2)

Step-by-step explanation:

The point-slope form of the equation of a line is

y - y1 = m(x - x1), where

(x1, y1) is a point on the linem is the slope of the line

The rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line.

Let us use these rules to solve the question

∵ (-2, 3) and (0, -1) are two points on the line

x1 = -2 and y1 = 3

∴ x2 = 0 and y2 = -1

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-1-3}{0--2}=\frac{-4}{0+2}=\frac{-4}{2}=-2[/tex]

m = -2

→ Substitute the value of m and point (-2, 3) in the form of the

   equation above

∵ m = -2 and (x1, y1) = (-2, 3)

∴ y - 3 = -2(x - -2)

→ Remember (-)(-) = (+)

∴ y - 3 = -2(x + 2)

The point-slope form of the line is y - 3 = -2(x + 2)

Please answer this as fast as you can.

Answers

156 bins are left over
156 bins for sure....

Andrew has 30 rocks. He has 10 more rocks then Amanda. He has 15 fewer rocks then Rob. How many rocks does each person have?

Answers

Answer:

Amanda has 20, Rob has 45

Step-by-step explanation:

Amanda has ten fewer rocks than Andrew, 30-10=20

Rob has 15 more rocks than Andrew, 30+15=45

Multiply using cancellation:

2/50 x 5/18 =
3/4 x 4/9 =
7/8 x 2/5 =
HELP PLEASE!!!!!!

Answers

Answer:

This is how you simplify them

Step-by-step explanation:

1) 1/90

2) 1/2

3) 7/20

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