How many diagonals does a 12-sided convex polygon have? What is the general
rule for a convex polygon with n sides?

Answers

Answer 1

Answer:

goodluck!

Step-by-step explanation:

well is 12 sided and has digonal so

Answer 2

Answer:

54

Step-by-step explanation:

No of diagonals in a n sided polygon

[tex]= \frac{n(n-3)}{2} [/tex]

Therefore,

No of diagonals in a 12 sided polygon

[tex]= \frac{12(12-3)}{2} [/tex]

[tex]= 6\times 9[/tex]

[tex]= 54[/tex]


Related Questions

A recipe for oatmeal which serves 4 people uses 3 cups of rolled oats.
How many cups of rolled oats will be used for oatmeal which serves 6 people?
O A. 2 cups
OB. 2 cups
Oc. 4 41
cups
D. 5 cups
o
E. 8 cups

Answers

The 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

A recipe for oatmeal that serves 4 people uses 3 cups of rolled oats.

Let's suppose the x number of cups will be used to serve 6 people.

Mathematically,

4 people use 3 cups

6 people use x cups. then:

[tex]\frac{4}{6} =\frac{3}{x}[/tex]

4x = 6×3  (after cross multiplication)

4x = 18

x = 4.5   (divide by 4 on both sides)

[tex]\rm x=4\frac{1}{2}[/tex]

Thus, the 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.

Learn more about the fraction here:

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The roots of the equation 2x^2 + 4= 9x are imaginary?

Answers

The final statement is: The quadratic equations has real roots.

What are quadratic equations?

A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.

Given here: 2x²+4-9x=0

                    2x²-9x+4=0

                     2x²-8x-x+4=0

                     2x(x-4)-1(x-4)=0

                     (2x-1) (x-4) =0

  Therefore the roots of the equation are 1/2 and 4 which are not imaginary.

Hence, The quadratic equations has real roots.

Learn more about quadratic equations here:

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Alright I’m not smart please help

Answers

Answer:

98 sq. in.

Step-by-step explanation:

Area of Triangle formula : 1/2 x Base x Height

1/2 x 14 x 14 =98

Jim qualifies for $0 down payment but makes a $2,500 down payment on his car purchases anyway. Will this payment help or hurt him

Answers

Answer:

help him

Step-by-step explanation:

Paying a $2,500 down payment on an automobile would normally benefit Jim. He reduces the total amount of the loan for the vehicle he will need to take out by making a down payment, which reduces the cost of his monthly payments and the amount of interest he will have to pay over the life of the loan. Furthermore, having a down payment increases his chances of getting approved for a loan or receiving a cheaper interest rate.

What is Down payment?

A down payment is an upfront cash payment made when purchasing a significant ticket item like a car or a house. The down payment is often a proportion of the total cost of ownership and is made in order to lower the amount of financing required. Lower monthly payments or a shorter loan term are sometimes the outcome of a higher down payment.

A down payment is an initial up-front payment in part for the purchase of a large item or service, such as a car or a house. It is normally paid in cash or in the form of an equivalent at the time the transaction is completed. The balance of the payment is then financed by a loan of some kind.

Therefore, paying a $2,500 down payment on an automobile would normally benefit Jim.

Learn more about Down payment, here:

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NEED HELP ASAP FREE BRAINLIST

Answers

Answer:

the correct answer is 904.78 cubic. inches

11. If you randomly selected 500 U.S. homes, about
how many would be heated with fuel oil?

Answers

Answer:

50

Step-by-step explanation:

Given

Total number of US houses = 500

If 10% were affected by fuel oil

Total number affected by fuel oil = 10% of 500

Total number affected by fuel oil = 0.1 * 500

Total number affected by fuel oil = 50

Hence 50 houses were affected by fuel oil

Pls help quick i beg please,Complete the explanation blank and blank 1 whole stirp could represent 1 blank and the 1/3 strip could represent blank. please help like please cause if you do it i make you The Brainliest

Answers

Answer:

Feet and yards; the 1 whole strip could represent 1 yd. and the [tex]\frac{1}{3}[/tex] strip could represent feet.

Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothies Total
17
250
Eighth-graders 233
Ninth-graders 240
10
250
Total
473
27
500
What is the relative frequency of eighth-graders who want fruit smoothies?
O A. 0.03
OB. 0.02
O C. 0.48
O D. 0.17

Answers

Answer:0.03

Step-by-step explanation:

Answer:

0.03

Step-by-step explanation:

There are 20 houses on Rainbow Street. 45% of the houses have holiday decorations in their yard. How many houses have decorations?

Answers

Answer:9

Step-by-step explanation:

Eric starts with 10 milligrams of a radioactive substance. The amount of the substance
decreases by 1 ¿ each week for a number of weeks, w. He writes the expression
10)" to find the amount of radioactive substance remaining after w weeks.
Andrea starts with 1 milligram of a radioactive substance. The amount of the
substance decreases by 20% each week for a number of weeks, w. She writes the
expression (1
0.2)" to find the amount of radioactive substance remaining after W
weeks.
Use the drop-down menus to explain what each part of Eric's and Andrea's
expressions mean.

Answers

Answer:

ok m

Step-by-step explanation:

ok

Answer:

Step-by-step explanation:

Find the area of the garden.

Answers

Answer:

28yd²

Step-by-step explanation:

area of square = side *side

=6*6= 36²

area of rectangle (patio)= length* breadth

=4*2=8²

area of garden= area of square - area of rectangle

=36-8

=28 yd²

Answer:

28 sq. yd

Step-by-step explanation:

For finding the area of the garden :

First Case:

Given,

Side of the big square = 6 yd

Therefore,

Area of the big square = side × side

= 6yd × 6yd

[tex] = 36 {yd}^{2} [/tex]

Second Case:

Length of the patio = 4 yd

Breadth of the patio = 2 yd

Therefore,

Area of the patio = Length × Breadth

= 4yd × 2yd

[tex] = 8 {yd}^{2} [/tex]

Last Case:

According to first and second cases,

Area of the garden

= Area of the big square - Area of the patio

[tex] = 36 {yd}^{2} - 8 {yd}^{2} [/tex]

[tex] = 28 {yd}^{2} [/tex]

Hence,

Required area of the garden is 28 sq. yd (Ans)

Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?

Answers

She should plant 43 tulip bulbs in each bed.

Answer:

43

Step-by-step explanation:

The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.

Brainliest for correct answer

Answers

Answer:

I think 1

Step-by-step explanation:

If I'm wrong I'm sorry I haven't done this since middle school

1 is the correct answer


An engineer stands 50 feet away from a building with a surveying device mounted on a tripod. if
the surveying device is 5 feet above the ground and the angle of elevation is 50°, find how tall is
the building.​

Answers

Answer:

The building is 64.6 feet tall.

Step-by-step explanation:

To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;

Height of the building = x + 5

But,

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]

x = 50 x Tan [tex]50^{o}[/tex]

  = 50 x 1.1918

  = 59.59

x = 59.59

Height of the building = x + 5

                     = 59.59 + 5

                     = 64.6 ft

The height of the building is 64.6 feet.

A group of 19 boys and 18 girls are attending a pottery class. Each pottery table can seat 6 people.

What is the least number of tables needed to seat the group?

Answers

Answer:

7

Step-by-step explanation:

37 People / 6 is 6.18 Rounded up is 7

find the surface area to the nearest tenth

Answers

the area of the square in the bottom, 11*11=121
find area of the triangles, (11*12.3)/2
11*12.3=135.3
135.3/2=67.65<--- area of the triangle
67.65*4=270.6
aka. just adding the areas of the triangles up
67.65+67.65+67.65+67.65=270.6
121+270.6=391.6

391.6 !

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Long= [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

This is a 30-60-90 right triangle, which has a special rule that would be very useful to memorize for the future. Take a look at the attached image.

From this, we can deduce that

hypotenuse=2*2=4, and

long= [tex]2\sqrt{3}[/tex]

list at least 4 attributes that are shared by all of the shapes in the rectangle group

Answers

Answer:

All of the figures have 4 sides  and 4  vertices

They have opposite sides parallel and congruent.

They have four right angles.

They also have perpendicular line segments.

Step-by-step explanation:

Hope this helps!!!

Ebru is an entrepreneur. She plans to start 2 different very small businesses in the next year. Both businesses are independent of each other, and each business has a 50%, percent chance of being successful and a 50%, percent chance of failing.

Each business will make Ebru $200 if it succeeds or lose her $200 if it fails.

if X is a random variable that represents Ebru's profit from starting these 2 businesses, draw a graph to show the probability distribution for all possible values of X.

Answers

Answer:

Step-by-step explanation:

Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't remember which coordinate pair is which. What could be an equation of the circle? Explain your answer.

Answers

9514 1404 393

Answer:

  (x +3)² +(y -2)² = 185

  (x -10)² +(y +2)² = 185

Step-by-step explanation:

One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.

The radius can be found from the distance formula:

  r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185

The circle formula is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

The above equations and the ones shown in the attachment are possibilities.

What is the shape of the cross-section formed when a cone intersects a plane as shown in the drawing

Answers

Answer:

triangle

Step-by-step explanation:

only look at the cut off part

Answer:

I believe that the shape is formed to be a circle

How many integers between 0 and 500:

1. Have distinct digits?

2. Are divisible by 3?

3. Are divisible by 3 or 5?

4. Are divisible by either 3 or 5, but not both?

5. Are divisible by 3, but not 5?


Pls help asap!!

Answers

Answer:

4

Step-by-step explanation:

they are divisible by either 3 or 5 but not both of these numbers

Answer:

378

Step-by-step explanation:

1 digit numbers - 9

2 digit numbers - 90

Now, subtract the repeating numbers 90-9 = 81

3 digit numbers = 4*9*8 = 288  

Distinct numbers = 9+81+288 = 378 numbers

In a cookie jar, 1/4 of the cookies are chocolate chip and 2/3 of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Answers

Answer:

1/2 of the cookies are peanut butter.

Step-by-step explanation:

Since 1/4 of the cookies are chocolate chip, this leaves the other 3/4 of the jar, which is equivallent to 75/100. Since 2/3 of 75 is 50, or, 1/2, the answer is 1/2.

What is the equation of the line that best fits the given data? A graph has points (negative 3, negative 3), (negative 2, negative 2), (1, 1.5), (2, 2), (3, 3), (4, 4). a. y = 2 x + 1 c. y = x + 1 b. y = x d. y = negative x Please select the best answer from the choices provided A B C D

Answers

Answer:

it's B on edge

Step-by-step explanation:

I took one for the team

Answer:

Step-by-step explanation:

3. ELLIPSE
CENTER = (-1,2)
MAJOR AUIS IS HORIZONTAL
AND HAS LENGTH OF 10
PASSS THROUGH (-1,5)


4. HYPERBOLA
VERTICES : (-2,-4)
(-2,6)
FOU:(-2,-5)
(-2,7)

Answers

Answer:

FFFFFFFFFFFFFFFFFFFFFFFF

6. Determine the measures of the unknown angles in the figure.
73°

26
75°

Answers

Answer is 32,122,58

Step by step explanation

x+75+73=180 => x=180-75-73=32
x+y+26=180 => y=180-26-x=122
z+y=180 => z=180-y=58

From Question 10c, What is DC_{3,1}DC
3,1

Answers

DC₃₁ is the entry of the product DC in row 3, column 1, which you get by computing the dot product of the 3rd row of D and the 1st column of C :

{3, -2} • {1, 4} = 3×1 + (-2)×4 = 3 - 8 = -5

____ + g − g = k
help

Answers

Answer: umm it k

Step-by-step explanation: k+g-g=k

g-g=0

k=k

Please help me hurry

Answers

Answer:

m<P = 48°

m<Q = 132°

Step-by-step explanation:

Given:

m<S = (14x + 6)°

m<R = (5x + 3)°

Required:

m<P, m<Q

Solution:

✔️First, find the value of x

m<S + m<R = 180° (consecutive angles are supplementary)

14x + 6 + 5x + 3 = 180 (substitution)

Collect like terms

19x + 9 = 180

19x = 180 - 9

19x = 171

x = 171/19

x = 9

✔️m<P = m<R (opposite angles are congruent)

m<P = (5x + 3)° (substitution)

Plug in the value of x

m<P = 5*9 + 3

m<P = 48°

✔️m<Q = m<S (opposite angels are congruent)

m<Q = (14x + 6)°

Plug in the value of x

m<Q = 14*9 + 6

m<Q = 132°

find the circumference and the area of a circle with the diameter of 8 m.

Answers

Answer:

circumference = 8 x 3.14 = 25.12 m

area = 3.14(4²) = 50.24 m²

Step-by-step explanation:

Answer:

C= about 25.13

A= about 50.27

Step-by-step explanation:

The formula for circumference is 2* pi* r

The formula for area is pi *r^2

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