A side length of a regular nonagon is an integer. The perimeter of the nonagon is 80
when rounded to the nearest ten. Determine the integer side length.

Answers

Answer 1

If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.

Answer 2

Step-by-step explanation:

A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.

[tex]n + n + n + n + n + n + n + n + n = 80[/tex]

or

[tex]9n = 80[/tex]

Solve for n

[tex]n = \frac{80}{9} [/tex]

This rounded would make our interger side, 9


Related Questions

Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height

Answers

So, this has many steps to it.

This part is to let us know what symbols we should use (VERY IMPORTANT)

1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression

2.Then you look for the key word which is quotient and that means to divide

    All of our symbols are in now. Time for the next step

This part us know what we are dividing and adding.

Now 2+ b/5

Let b represent Billy’s height.Therefore, the quotient of billy’s height and 5[tex] = \frac{b}{5} [/tex]Sarah is 2 inches taller than the quotient of billy’s height and 5.Therefore, an expression that represents Sarah’s height is [tex]2 + \frac{b}{5} [/tex]

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

plsss help mee i donot now the answer

Activity 1: Identifying Hypothesis and Conclusion Directions: Identify the hypothesis and the conclusion for each of the following statements.

1. If you live in Manila, then you live in the Philippines.

2. If a triangle is a right triangle, then one of its interior angle is a 90-degree angle.

3. A square is not a triangle.

4. An even number is divisible by 2.

5. The measure of an acute angle is less than 90.​

Answers

Answer:

1. If you live in Manila(hypothesis) then you live in the Philippines ( conclusion)

2. If a triangle is a right triangle (hypothesis), then one of its interior angle is a 90-degree angle ( conclusion)

3. A square is not a triangle (conclusion)

4. An even number is divisible by 2. (conclusion)

5. The measure of an acute angle is less than 90. (conclusion)

The shortest route from London to Swansea is 180 miles. A lorry is expected to take 4.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 4.5 hours. By how many more mph than the expected speed does the lorry travel?​

Answers

Answer:

6mph

Step-by-step explanation:

180/4.5=40

180 × (1+15%)=207

207/4.5=46

46-40=6

Sarah has only $180 to spend on her birthday party. If she had to pay $100 for the room and each guest cost $6
for food, how many people can she invite without going over her budget?

Answers

Answer:

She can invite 13 people.

Step-by-step explanation:

Because Sarah has to pay $100 for the room, we can subtract.

$180-$100=$80.

Now that she has $80 left, we can see how many times $6 can go into $80.

$6x14=84.

This number is four more than $80, so Sarah can not invite 14 people.

But, if we do $6x13, we get $78.

$78 does not past $80 and is really close, Sarah can invite 13 people.

Final Answer: Sarah can invite 13 people without going over her budget.

I hope this helps and have a wonderful day! ;0

Answer:

13

Step-by-step explanation:

180-100 = 80

80 divided by 6 = 13.333

Which expression represents the expanded version of the expression below?

4x(3x+7)

Answers

Answer:

X is just a variable.

Step-by-step explanation:

Enter the value of x + 27.
х
1
o
1x + 27)
67°

Answers

1) Commutative Property of addition and multiplication: (Commutative, x; Commutative, +) ... 24) -6 + 10 = 4 25) - 8 - 12 = 20 26) -8 +6= -2 27) -7 - 5= -12.

Please show any steps you used to solve the equation!

Solve the equation [tex]sec(theta)=2 \\0\leq theta\ \textless \ 2\pi[/tex]

I'll mark brainliest if correct!

Answers

sec(θ) = 2

By definition of secant,

cos(θ) = 1/2

Solve for θ :

θ = arccos(1/2) + 2nπ   or   θ = -arccos(1/2) + 2nπ

(where n is any integer)

θ = π/3 + 2nπ   or   θ = -π/3 + 2nπ

We get two solutions in the interval 0 ≤ θ < 2π :

θ = π/3   or   θ = 5π/3

Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, drepresents the distance from a star to the Sun. Using a technique called "stellar parallax," astronomers determined 0 is 0.00001389 degrees.
write an expression to calculate d for any star

Answers

By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.

[tex]\displaystyle \mathrm{The \ \mathbf{expression} \ to \ calculate \ \mathit{d} \ for \ any \ \mathbf{star} \ is; \ \underline{d \ is \ \frac{1 \, AU}{tan(\theta)}}}[/tex]

Reasons

The given parameters are;

The distance from the star to the Sun = d

The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees

The average distance from Earth to the Sun = 1 AU

By trigonometric ratios, we have;

[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]

Therefore;

[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]

The expression to calculate for d for any star is therefore;

[tex]\displaystyle \underline{ d \ is \ \frac{1 \, AU}{tan(\theta) }}[/tex]

The angle given for θ for the referenced star is θ = 0.00001389

Therefore;

[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]

Learn more about trigonometric ratio here:

https://brainly.com/question/14421002

https://brainly.com/question/8514165

this question is hard

Answers

A) Total number of old plans = 3500 + 4700 = 8200

In the new month, the unlimited plans increased by 55%, which adds

0.55 • 3500 = 1925

unlimited plans, while the limited plans decreased by 25%, which subtracts

0.25 • 4700 = 1175

limited plans. Then

Total number of new plans = (3500 + 1925) + (4700 - 1175) = 8950

which corresponds to a percent change of

(8950 - 8200)/8200 ≈ 0.0915 = 9.15%

That is, percent change is given by

(new value - old value) / (old value)

B) The percent change is positive, so it's a percent increase.

All 150 eighth grade students at a local middle school were asked how many hours they studied during the week. Each row of the table represents one sample from the population. Find the mean Of each sample


Which row has the greatest mean?
1
2
3
4

Answers

The answer is 2...

It's row 2

Answer:

Row 2 (B)

Step-by-step explanation:

We can find out the answer just simply by adding up each of the rows seperately and finding out which one has the highest value, since all of the rows have the same amount of spaces that you need to divide by. Row 2 has the highest value with 23.

will give brainliest

Answers

Answer: x > − 4

Step-by-step explanation: Divide each term in − 4 x < 16 by − 4 and simplify.

(Try to solve b. and c. with only these resources and if you still need help, let me know.)

i really need your help on this

Answers

Answer:

That is an improper fraction

Step-by-step explanation:

When the numerator (the top) is greater than the denominator (The bottom) then the fraction is improper

Hope this helps!

Answer:

Improper fraction

Step-by-step explanation:

share 120 between 8 boys​

Answers

Answer:

15

Explanation:

120 divided by 8 is 15

Answer:

120 ÷ 8 = 15

Simple math. :D

Step-by-step explanation:

Pls give brainliest.

A vegetable cart sells potatoes for $0.24 and tomatoes for $0.76. Fred bought 12 vegetables in total. He only bought potatoes and tomatoes. If Fred paid $6.52 total, how many potatoes did he buy?

Answers

Let potatoes be a and tomatoes be b

[tex]\\ \sf\longmapsto a+b=12---(1)[/tex]

[tex]\\ \sf\longmapsto 0.24a+0.76b=6.52[/tex]

Simplify 2nd one

[tex]\\ \sf\longmapsto 0.06a+0.19b=1.63[/tex]--(2)

Solving both equations

b=7a=12-7=5

The diameter of a circle is 18 kilometers. What is the circle's circumference? d=18 km Use 3.14 for n. kilometers​

Answers

Answer:

56.52 km

Step-by-step explanation:

You can use this formula to find the circumference.

[tex]C =\pi \:d[/tex]

Here,

C = circumference

d =  diameter

Let us solve now.

[tex]C =\pi \:d[/tex]

C = 3.14 × 18 km

C = 56.52 km

Hope this helps you.

Let me know if you have any other questions :-)

A group of students are working on a project. They complete 30%percent of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project

Answers

Answer: 40 HOURS

Step-by-step explanation:

If the students complete 30% of the project in 12 hours,

that means:

12 h................................30%

? h...................................100%

(12*100)/30= 40H

THE STUDENTS NEED 40H TO COMPLETE THE PROJECT

It will take 40 hours for the group to finish the project.

How many hours will it take the group to finish the project?

If the students complete 30% of the project in 12 hours,

that means:

⇒ 12 h = 30%

⇒ ? h = 100%

By using percentage theory:

Percentage formula = (Value/Total value) × 100.

⇒ (12*100)/30= 40H

The answer is 40 hours.

What are a percentage and its formula?

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100.

Learn more about percentage here: brainly.com/question/843074

#SPJ2

which steps transform the graph of y=x^2 to y=-(x-3)^2+2

Answers

Answer:

reflection over the x-axis

shifted 3 right

shifted 2 up

Step-by-step explanation:

This function is quadratic. Quadratic graphs are written as y=a(x-h)^2+k. Where a is a non-zero number that affects the vertical appearance of the graph, h is the horizontal placement, and k is the vertical placement.

When a is negative then, the graph has been reflected over the x-axis. This makes it look like it has been turned upside down. The variable h affects how the x-values are shifted. In this equation, h looks negative but it is actually positive because if you look at the formula, h is being subtracted. Positive h values move the graph right. So, the graph is shifted 3 units to the right. Finally, k does the same thing as h but on the vertical (y) axis. So, +2 makes the graph shift 2 units up.

find the midpoint of CD with C(-4,5) and D(-1,-4).

Answers

Answer:

(-2.5, 0.5)

Step-by-step explanation:

(-4) + (-1) / 2 = -2.5

5 + (-4) / 2 = 0.5

Please help I don’t understand please!!!

Answers

Answer:

y>5.5

Step-by-step explanation:

4y+3>2y+14

Subtract 2y from both sides.

2y+3>14

Subtract 3 from both sides.

2y>11

Divide 2 by both sides.

y>5.5

-hope it helps

the (y) and mean 1 and you need to multiply al number

-4x -2 + 3x - 10 How many terms are there? SIMPLIFY. What is the coefficient of x?

Answers

Answer:

Number of coefficients of x: 2 coefficients (-4 and 3)

Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)

Simplified: - x - 12

Step-by-step explanation:

1) Subtract the numbers.

-4x - 12 + 3x

2) Combine like terms.

- x - 12

12>-2(y-4) solve the inequality

Answers

[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]

What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?

(–8, –6)
(–6, 8)
(8, 6)
(6, –8)

Answers

Answer:

The answer is B. (-6,8) !

Step-by-step explanation:

How can I Graph
-7x= -105

Answers

Answer:

see explanation

Step-by-step explanation:

- 7x = - 105 ( divide both sides by - 7 )

x = 15

A line with equation x = c is a vertical line parallel to the y- axis passing through all points with an x- coordinate of c

Thus x = 15 is a vertical line passing through all points with an x- coordinate of 15

Plot (15, 0 ) , (15, 3 ) and (15, - 3) and join a straight line through them for graph

The measure of angle b = 80° and the measure of angle c = 40°. the measure of angle a equals....?​

Answers

angle a = 180°-80°-40°=60°

Can someone help me with this one I would appreciate it very much!!

Answers

Answer:

12.5 pounds

Step-by-step explanation:

16 ounces = 1 pound

200 ounces = 1 × 200/16 = 12.5 pounds

The minute hand of a clock has a length of 12 cm, and the hour hand has a length of 8 cm
a) How far does the tip of the minute hand travel in one hour?
b) How far does the tip of the hour hand travel in 12 hours?
c) How far does the tip of each hand travel in one week?

Answers

Answer:

I have no any ideas

Step-by-step explanation:

sorry

I cannot figure this out. Any help would be appreciated.

Answers

so you are finding M
90+x+15+3x+15=180
4x=60
X = 15
LMN = 15+15
LMN = 30
hopefully this is correct :)

I have no clue what to do

Answers

answer people questions if you know the answers.Or ask for help if your doing homework.

Answer:

Borrow a brain

Step-by-step explanation:

help me with this pls

Answers

Answer:

Yes they both = 125

Step-by-step explanation:

Solve for a
1/12 a +21 = 25

Answers

Hope This Helped!

Step-by-step explanation:

First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48

We are left with A being equal to 48.

[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]

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