Find the sum of the Interior angle measures of a convex 11-gon (an eleven-sided polygon).

Answers

Answer 1

Answer:

1620 degrees.

Step-by-step explanation:

In a polygon the number of sides = the number of angles.

Each external angle = 360 / 11 = 32 8/11 degrees.

Each internal angle = 180 - 32 8/11 = 147 3/11 degrees

So sum = 147 3/11 * 11

= 1617 + 3

= 1620 degrees.

Answer 2

Answer:

It's 1620°

Hope it helps

Step-by-step explanation:

Hint:>

( The sum of the interior angle (S),

The the sides of the polygon (n).)

Then use this formula :

S=180°(n-2)

= 180°(11-2)

= 180°(9)

= 1620°


Related Questions

Mrs. Wallace wants to buy 112 gallons of sour cream for a recipe. If sour cream is sold only in 1-pint containers, how many containers will she need to buy?

Answers

Answer:

896 containers

Step-by-step explanation:

Given that;

1 pint = 1 container

Convert 112 gallons to pint

1 pint x 0.125 gallons

x = 112gallons

Cross multiply

0.125x = 112

x = 112/0.125

x = 896 pints

Since sour cream is sold only in 1-pint containers, then the total container she will buy is 896 containers

6. Markets with elastic supply and demand curves: a) Have demand and supply curves that never intersect. B) Are very sensitive to a change in price. C) Have greater movements in quantity than prices. D) Are very sensitive to a change in quantity. E) Are only theoretical and do not exist in the real world.

Answers

Answer:

The correct statement is B (are very sensitive to change in price)

Step-by-step explanation:

Option B is correct because of the following reason -:

The degree to which a rise in price affects the quantity demanded or supplied is known as elasticity. In the case of elastic demand and supply, as the price rises, the quantity demanded falls and the quantity supplied rises more than proportionally. Inelastic price elasticity of demand and supply, on the other hand, induces a less than proportional change in quantity as prices change.

Hence , the correct option is B .

how do you solve this ?

Answers

Answer:

x = 37 mm

Step-by-step explanation:

using the Pythagorean theorem:

m² = 13² - 5² = 169 - 25 = 144

m = √144 = 12 mm

x² = 12² + 35² = 144 + 1225 = 1369

x = √1369 = 37 mm

Answer:

x=37.3

Step-by-step explanation:

Since we're looking for "x" we need to use "the Pythagorean theorem".

13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.

Since x is the hypotenuse, it needs to be a number greater than 13 and 35.

c=√(a² + b²)

Making it c=√(13² + 35²)

Making C=37.336 or 37.3

Therefore making, x=37.3

At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?

Answers

Answer:

The integer that represents the change in temperature is 17.

Step-by-step explanation:

Just find the figure of the rectangle plss

Answers

Answer:

x= 21

y= 3

z= 21

Step-by-step explanation:

Let the center be O,

=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"

=> Line AC is divided in two equal parts by the center so if AO= 21 then

    7y = 21, and thus "y = 3"

=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"

Kaylee deposited $1,450 in an account that earns 2.596 interest compounded annually. Which function represents the situation, where tis

the time in years?

fit) = 1450(2.5)

f(t) = 1450(1.25)

FO) = 1450(.025)

f(t) = 1450(1,025)

Answers

Answer:

[tex]f(t) = 1450(1.025)^{t}[/tex]

Step-by-step explanation:

Given

[tex]P =1450[/tex] -- principal

[tex]r = 2.5\%[/tex] --- rate

[tex]n = 1[/tex] --- compounded once a year

Required

Determine the function for compound interest

Compound interest f(t) is calculated as:

[tex]f(t) =P(1 + r/n)^{nt[/tex]

So, we have:

[tex]f(t) = 1450(1 + 2.5\%/1)^{1 * t}[/tex]

[tex]f(t) = 1450(1 + 2.5\%)^{t}[/tex]

[tex]f(t) = 1450(1 + 0.025)^{t}[/tex]

[tex]f(t) = 1450(1.025)^{t}[/tex]

A total of 397 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

We know:
397 total
53 fewer student tickets than adult tickets

Variables: A for adult tickets, S for student tickets

Known Equations:
a + s = 397
a = s + 53

Solving:
2s + 53 = 397 so 2s = 344 so s = 172

s + a = 397
172 + (172 + 53) = 397 so 172 + 225 = 397

Adult tickets sold: 225
Student tickets sold: 172


Quickly please I only have a few minutes

Answers

Answer:

1=4

5=8

2=5

Step-by-step explanation:

Answer:

1, 5, 2 is the x values.

Step-by-step explanation:

you just subtract 3 from the y's

Vincent started driving at 45 miles per hour. After he drove 10 miles his friend Bill started driving the same route at a rate of 45 miles per hour. If they continue to drive at the same rate will Bill ever catch up to Vincent?

Answers

Answer: No

Step-by-step explanation: Vincent started 10 miles ahead so Bill will never catch up at this rate

5. Find the circumference of a circle with a radius
of 15 feet.

Answers

Answer:

94.25 feet.

Step-by-step explanation:

Select the correct answer.
If f(t)
- 6 and 9(3)
22 (
+ 3), find g(x) < f(x).
OA. 5/2 - 3232
- 1867
OB. 75
3VI3
18va
OC. 5
6vr
OD.
5
3.13 – 180

Answers

A

see attached for explanation

I hope it helps

help please! :)) ill do whatever it is that gets you guys points!!! please help!

Answers

Answer:

7.5 in.

Step-by-step explanation:

Answer:

7.5 in

Step-by-step explanation:

using pythagorean theorem

Hyp²= Opp² + Adj ²

where 9= hyp

5= adj

and x = opp

9²=x²+5²

81=x² + 25

collect like terms

81-25=X²

56=X²

since we're looking for X and not X²

we square root both sides

√x²=√56

x=7.483 approximately 7.5

Please ASAP let me know the answer!

Answers

The answer is A because 7.99t represents per t-shirt

Function B has a greater rate of change and a smaller y-intercept than function A. Which equation could represent function B?

Answers

Answer:

function A : y = 50 + 0.5x ; y = 40 + 0.6x

Step-by-step explanation:

Function is a relationship between values in set x & set y.

In case functional relationship equation is y = c + sx . c is the y intercept ie constant value of y when x = 0, & s is slope rate of change ie = change in y / change in x.

If function A is y = 50 + 0.5x. Intercept (c) = 50 , change rate (slope) = 0.5

If function B is y = 40 + 0.6x. Intercept (c) = 40 ie lesser, change rate (slope) = 0.6 ie greater

solve for x. round your answer to the nearest tenth

Answers

Answer:

11.9

Step-by-step explanation:

Use sin

Sin ratio is opposite over hypotenuse

Sin [tex]57^{o}[/tex] = [tex]\frac{10.8}{x}[/tex]

x = [tex]\frac{10.8}{sin57^{o} }[/tex]

x = 11.9

Ahmad throws dice find the probability that it is:not a 2

Answers

yah it's not probably it's not 2 mmmm

The dice has a the dice has 6 faces, each face has a 1/6 probability to appear, so the answer is 5/6

The Bungling Brothers Circus is in town and you are part of the crew that

is setting up its enormous tent. The center pole that holds up the tent

is 70 feet tall. To keep it upright, a support cable needs to be attached to

the top of the pole so that the cable forms a 60° angle with the ground.


a) How long is the cable?


b) How far from the pole should the cable be attached to the ground?

Answers

Answer:

a. 80.83 ft b. 40.42 ft

Step-by-step explanation:

Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.

a) How long is the cable?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,

sinФ = h/L

L = h/sinФ

L = 70 ft/sin60°

L = 70 ft/0.8660

L = 80.83 ft

b) How far from the pole should the cable be attached to the ground?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,

tanФ = h/x

x = h/tanФ

x = 70 ft/tan60°

x = 70 ft/1.7321

x = 40.42 ft

The length of the cable is 80.83 ft and the distance from the pole should the cable be attached to the ground is 40.42 ft and this can be determined by using the trigonometric function.

Given :

The Bungling Brothers Circus is in town and you are part of the crew that  is setting up its enormous tent. The center pole that holds up the tent  is 70 feet tall. To keep it upright, a support cable needs to be attached to  the top of the pole so that the cable forms a 60° angle with the ground.

a) The trigonometric function can be used in order to determine the length of the cable.

[tex]\rm sin\theta=\dfrac{h }{L}[/tex]

where h is the height of the pole, L is the length of the pole, and [tex]\theta[/tex] is the angle from the ground.

Substitute the known terms in the above expression.

[tex]\rm L=\dfrac{h }{sin\theta}[/tex]

[tex]\rm L = \dfrac{70}{sin60}[/tex]

L = 80.83 ft.

b) The trigonometric function can be used in order to determine the distance from the pole should the cable be attached to the ground.

[tex]\rm tan \alpha =\dfrac{h}{x}[/tex]

where x is the distance between pole and cable.

Substitute the known terms in the above expression.

[tex]\rm x = \dfrac{70}{tan 60 }[/tex]

x = 40.42 ft.

For more information, refer to the link given below:

https://brainly.com/question/21286835

Jeremiah and his children went into a bakery and he bought $20 worth of cupcakes and cookies. Each cupcake costs $5 and each cookie costs $1.25. He bought 4 times as many cookies as cupcakes. Graphically solve a system of equations in order to determine the number of cupcakes, x,x, and the number of cookies, y,y, that Jeremiah bought.

Answers

Answer: (2,8)

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

y=-4x+16

The sum of the lengths of the sides of triangle ABC is 25 in . The lengths of sides overline AB and overline BC are 9 inches and 8 inches . Find the length of side overline AC and classify the triangle.

Answers

Answer:

AC = 8 The classification is isosceles

Step-by-step explanation:

Lines need to be painted on the field at a football stadium. The painter estimated that one can of paint would last 11 yards. How many cans of paint will be needed to paint the length of the 100-yard field?



I've been stuck on this question for two days :,) the answers are A.8 B.10 C.12 D.14





Can someone please tell me the answer?

Answers

Answer:  

area = pi*24^2/4 = 452 yd^2

so that means you will need 452/59 = 7.6 (or 8) gallons

Evaluate the expression x - 9, if x = 12.

1. 21
2. 17
3. 4
or 4. 3

what’s the answer what number?

Answers

Answer:

3

Step-by-step explanation:

I hope this answer has helped you

The value of expression x - 9, if x = 12 is 3, so the correct option is 4.

What is expression?

A mathematical expression is made up of a statement, at least one arithmetic operation, and at least two integers or variables.

Given:

x - 9 and x = 12

Put the value of x in the expression as shown below,

x - 9 = 12 - 9

x - 9 = 3

To know more about the expression:

https://brainly.com/question/13947055

#SPJ2

What is the value of x in this equation?

2x + 2 = -52
pls someone help

Answers

Answer: x= −27 or x = 27

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

Subtract 2 from both sides

2x= -54

Divide both sides by 2

x = -27

Which shows the Commutative Property of Addition?
A 2 (5+6)=2 (5) + 2(6)
B 3+ (7+ -2) = 3 +(-2+ 7)
C 13+ (-13) = 0
D-9+(3+4)= (-9 + 3) + 4

Answers

Answer:

B 3+ (7+ -2) = 3 +(-2+ 7)

Step-by-step explanation:

It shows that the answer is the same even if you switch the problem in the parentheses around

vocab word for this definetion

Answers

Answer:

whats the definition?

Step-by-step explanation:

Please answer quickly!!

Which set of data is represented by the box plot?

Answers

Answer:

C?

Step-by-step explanation:

What is the value of x in the figure below?

Answers

Answer:

B;24

Step-by-step explanation:

A rectangular garden has a width of 7x -2 and a length of 3x +10. Find the perimeter.

Answers

(7x-2)+(7x-2)+(3x+10)+(3x+10)
=20x+16

Answer:

20x + 16

Step-by-step explanation:

Width (w) = 7x - 2

Length (l) = 3x + 10

Perimeter = 2*(l + w)

                 = 2* (3x + 10 + 7x - 2)

                 = 2* (3x + 7x + 10 - 2 )   {Combine like terms}

                 = 2* ( 10x + 8)         {Use distributive property: a(b +c) =(a*b) + (a*c)}

                 = 2*10x + 2*8

                  = 20x + 16

If x=(y+2)^2 and y= -7 then what is the value of x

Answers

Answer:

25

Step-by-step explanation:

(y+2)^2=x

(-7+2)^2=x

(-5)^2=x

(-5)(-5)=x

25=x

Hope that helps :)

Answer:

x=25

Step-by-step explanation:

Plug it innnn plug it innnn

Solve by elimination
x-2y=1
3х — 6y = 3

Answers

Answer:

Step-by-step explanation:

3(x-2y=1)

3x-6y=3

3x-6y = 3

3x-6y = 3

3x-6y = 3

-3x+6y=-3

0 = 0

x & y can be any value.

In 2015, Mrs. Jonos paid $630 in Medicare
taxes. This represents 1% of her salary. What
was Mrs. Jones's gross income in 2015?

Answers

if they mean 1% is $630(of her salary) then i’m guessing $63k.
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