Given a regular 26 sided polygon, complete the following statements. ​

Given A Regular 26 Sided Polygon, Complete The Following Statements.

Answers

Answer 1

Answers:

Sum of the interior angles = 4320One interior angle = 166.15

=======================================================

Work Shown:

n = number of sides = 26

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

S = 180(26-2)

S = 180(24)

S = 4320 degrees is the sum of the interior angles.

i = measure of one interior angle of a regular polygon

i = S/n

i = 4320/26

i = 166.1538 approximately

i = 166.15 degrees is the approximate measure of each interior angle.

Side note: The formula to determine the interior angle i only works for regular polygons. This is because each angle is the same measure.


Related Questions

(4₊√₋81)₋(9₊√₋9) i cant resolve this equation. thanks for help

Answers

The question can't be solved because we can't have negative sign under square root

Answer:

 -5 +6i

Step-by-step explanation:

Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.

__

simplify radicals

We know that √(-1) ≜ i. This means the radicals can be simplified to ...

  [tex]\sqrt{-81}=\sqrt{9^2(-1)}=9\sqrt{-1}=9i\\\\\sqrt{-9}=\sqrt{3^2(-1)}=3\sqrt{-1}=3i[/tex]

So the expression becomes ...

  (4 +9i) -(9 +3i)

combine terms

Like terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.

  (4 +9i) -(9 +3i) = 4 +9i -9 -3i

  = (4 -9) +(9 -3)i

  = -5 +6i

The diameter of a bicycle wheel is 63 cm. How much distance will it cover in 20revolutions?

Answers

Answer:

1256 cm

Step-by-step explanation:

First we must find the perimeter, because the perimeter is equal to 1 revolution.

The perimeter of any circle is Pi(Diameter)

3.14*20

62.8 cm is the perimeter of the bike wheel.

Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:

1256 cm

20 people have volunteered for a 5-person neighborhood advocacy committee. 10 of them are homeowners and the rest are local business owners. How many ways are there to select the 5-person committee such that exactly 2 local business owners are represented?

Answers

We have that the ways 5-person committee such that exactly 2 local business owners are represented is mathematically given as

N=5940

What is Probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The Probability that 2 local business owners are represented on the committee is given by finding the ways they can be seated amongst the 5

Generally, 2 local business owners are represented is mathematically given as

N=11C3 x 9C2

Therefore

N=165 x 36

N=5940

Therefore the way 5-person committee such that exactly 2 local business owners are represented is mathematically given as

N=5940

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The price of an item has dropped to 27$ today. Yesterday it was 90. Find the percentage decrease

Answers

The percentage decrease would be 70 percent.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The price of an item has dropped to 27$ today. Yesterday it was 90.

90 - 27 = 63

The percentage decrease;

63 / 90 x 100= 70%

Hence, The percentage decrease would be 70 percent.

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Help please

charles has $2.90 in coins. if he only has dimes and quarters and a total of 17 coins, how many quarts does he have?

Answers

Answer:

8

Step-by-step explanation:

8*25=2.00

2.00+.90=2.90

Find the area of triangle PQR.

Answers

Step-by-step explanation:

To get the angle of QPR, we subtract 90-60=30. This proves that the triangle is a 30,60,90, as angle QRP must be 60°. To get the area, we must know the length and width. These can be derived from a known relationship within 30,60,90 triangles.

[tex]qp = \frac{\sqrt{3}}{2} n[/tex]

[tex]qr = \frac{1}{2} n[/tex]

[tex]pr = n[/tex]

because half of pr is 10, we can conclude that n is 20. So we plug 20 into N for QP and QR, and get values of

[tex]qp = 5 \sqrt{3} [/tex]

[tex]qr = 5[/tex]

Now we multiply (l*w)/2 and get:

[tex] \frac{(5 \sqrt{3} \times 5)}{2} = 21.65 \: units[/tex]

Is 7/7 a proper fraction, an improper fraction, a mixed number, or decimal fraction?
None of these choices are correct.
O a decimal number
an improper fraction
O a mixed number
O a proper fraction

Answers

It is a proper fraction

Solve the following system of equations. -7x+5y=-11; -4x+3y= -7

Answers

Answer:

X = (-2) Y = (-5)

- 7x + 5y= (-11) -------(1)

-4x + 3y,= (-7) ----------(2)

Solving by using elimination method

Multiplying eq 1 with 3 and eq 2 with 5

3( -7x + 5y) = 3(-11)

5(- 4x + 3y) = 5(-7)

-21x + 15y = (-33)

-20x + 15y,= (-35)

Subtracting both the eq.

-x = 2

x = (-2)

Putting this value in eq. 1

- 7x + 5y= (-11)

-7(-2)+ 5y= (-11)

14 + 5y = (-11)

5y = (-11) - 14

5y= (-25)

y = (-5)

A hibernating animal lost 4 pounds. Write a signed number to represent this weight change

Answers

Answer: -4 pounds

Step-by-step explanation:

       The hibernating animal lost 4 pounds. This means we are 4 below wherever the animal's weight was in the beginning. This can be represented with a negative number;

          -4 pounds

Decimal expansion of 2 1/6

Answers

The decimal expansion of 2 1/6 is 2.167

How to determine the decimal expansion?

The expression is given as:

2 1/6

Rewrite the expression as:

2 + 1/6

Express 1/6 as decimal

2 + 0.167

Evaluate the sum

2.167

Hence, the decimal expansion of 2 1/6 is 2.167

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A tree is making a shadow 22 feet long. The angle of elevation from the tip of
the shadow to the top of the tree is 50°.
feet. Round your answer to the nearest
The height of the tree is about
foot.

Answers

Answer:

26.2 feet

Step-by-step explanation:

tan(50°) = h/22

h = 22 × tan(50°) = 26.2 feet


A. 6x 10y=9
B. 6x=9
C. -10y = 15
D. 2x= 15

Answers

Answer:

6x = 9

Step-by-step explanation:

4x-5y  = 12

2x+5y  = -3

Add the equations together

4x-5y  = 12

2x+5y  = -3

-------------------

6x + 0y = 9

6x = 9

Answer:

B. 6x = 9

Step-by-step explanation:

4x - 5y = 12

+ 2x + 5y = -3

____________

6x + 0 = 9

Hence, option B. 6x = 9 is the correct answer.

S
2
Question 10 of 10
What is the value of p?
90
125
OA. 125°
O B. 55°
O C. 45°
O D. 35°
SUBMIT

Answers

Answer:

D

Step-by-step explanation:

You do 180-125 to find the angle (because its a straight line) and then you get 55, then you have a right angle so you have 90 and then you do:

55+90+p=180

and then you get

145 +p=180

180-145=35

p=35

Need help! The answer is D, can anyone explain in detail how?

Answers

Answer:

D

Step-by-step explanation:

0.0378÷0.21=0.18

this is 18 hundredths

but its 180 thousandths

Explanation:

Now--this is an awfully odd way to word a question.

BUT, it is solvable!

digits have "place values" in numbers, let's focus on after the decimal point:

_ . _ _ _ _ _ '

we know this can go on forever, but we don't need it to (for this problem, that is)

_ . _ _ _

_ . {tenths} {hundredths} {thousandths} ........

we want to know how many thousandths we have:

the answer to this problem (0.0378 / 0.21) is 0.18

{let's consider what we know about place values:}

"10" can be thought of as ten-ones

and "1" can be thought of as ten tenths

{the reason it's always ten __ is that we use a base-ten system, and there are only ten options for each digit [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] }

so, 10 could be thought of as ten ones, which could each be thought of as ten tenths--meaning that 10 is the same thing as 100 tenths

[if you ignore the decimal point, it becomes more clear]:

10.0 [100]

likewise, 10.00 is 1000 hundredths; and 10.000 is 10,000 thousandths

--------

okay, back to our problem:

how many thousandths make up 0.18?

Let's write this out to the thousandths place:

0.180

if we use our tactic of ignoring the decimal, we are left with 0180 [of course, a "0" before a number has no value, so we can rewrite it as 180], or 180

so, 0.18 is really composed of 180 thousandths, which is how option D is the answer

hope this helps!! :)

{let me know if there's anything else you would like me to explain about this!}

The Function h is defined by the following rule.

h(x) = 2x-2

Complete the function table.

Answers

Answer:

[tex]\fbox {See below} \downarrow[/tex]

Step-by-step explanation:

[tex]\textsf {The function is :}[/tex]

[tex]\boxed {h(x) = 2x - 2}[/tex]

[tex]\textsf {Finding the missing values :}[/tex]

[tex]\mathsf {h(-4) = 2(-4) - 2 = -10}[/tex][tex]\mathsf {h(-2) = 2(-2) - 2 = -6}[/tex][tex]\mathsf {h(1) = 2(1) - 2 = 0}[/tex][tex]\mathsf {h(4) = 2(4) - 2 = 6}[/tex][tex]\mathsf {h(5) = 2(5) - 2 = 8}[/tex]

[tex]\textsf {The table :}[/tex]

[tex]\left[\begin{array}{ccc}x&f(x)\\-4&-10\\-2&-6\\1&0\\4&6\\5&8\end{array}\right][/tex]

What is the equation of a circle with center (8, 6) and radius 5?

Answers

The equation of the circle is [tex](x-8)^2 + (y-6)^2 = 25[/tex].

Share £20 in the ratio 2:3

Answers

Answer:

£8 : £12

Step-by-step explanation:

2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12

an airplane that is flying at an altitude of 30 000 ft is beginning to descend at a rate of 1000 feet per minute. a helicopter is beginning its trip, starting at an altitude of zero feet. the helicopter ascends more slowly than the airplane, going up at a rate of 500 feet per minute. after how many minutes will the airplane and the helicopter be at the same altitude

Answers

Using linear functions, it is found that the airplane and the helicopter will be at the same altitude after 20 minutes.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The functions that gives the height of the airplane and the helicopter, after t minutes, is given by:

A(t) = 30000 - 1000t.H(t) = 500t.

They will be equal when:

A(t) = H(t).

Hence:

30000 - 1000t = 500t

1500t = 30000

t = 30000/1500

t = 20 minutes.

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Use the Change of Base Formula to solve each equation.
3x = 27.3

Answers

Answer:

9.1

Step-by-step explanation:

3(9.1)=27.3

27.3÷3=×

×=9.1

What is the slope of the line through (1,-2) and (-3,-2)?

Answers

-1/2

Step-by-step explanation:

m = y2-y1/x2-x1

-3+2/3-1

m=-1/2

Hii!

_________________________________________________________________

Answer: Slope = 2 - Choice [C] ✅

Step-by-step explanation:

Do you need to know the slope of the line through (1,-2) and (-3,-2)? No problem! Luckily, there's a formula to find this!

The slope formula

The slope formula "[tex]\sf \cfrac{y2-y1}{x2-x1}[/tex]", is the formula we'll use to find the slope.

Let's stick in the values we know

[tex]\sf m= \cfrac{-2-2}{-3-(-1)}[/tex]

Simplify

[tex]\sf m=\cfrac{-4}{-3+1}[/tex]

Simplify

[tex]\sf m=\cfrac{-4}{-2}[/tex]

[tex]\sf m= \cfrac{4}{2}[/tex]

[tex]\sf m=2[/tex] ✅

--

Hope that this helped! Best wishes.

--

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Let the Universal set be the letters a through j: U = (a, b, ..., i, jJ. Let A = (b, e, g, i), B = {a, b, e, f), and C = {a, e, i, ji) List the elemefits of the set An (BU C)

Answers

Answer:

A ∩ (B U C) = {b , e , i}

Step-by-step explanation:

A = {b , e , g , i}

B = {a , b , e , f}

C = {a , e , i , j}

We note B U C ,The union of the two sets B and C

which is the set that contains all elements

that are in B or in C .

The easiest way to determine B U C :

Step1 : (write all the elements of B and C side by side)

B U C = {a , b , e , f , a , e , i , j}

Step2 : (delete the repeated elements)

B U C = {a , b , e , f , i , j}

FINDING A ∩ (B U C) :

it’s the set of elements that exist in both sets

A and B U C simultaneously:

A = {b , e , g , i}

B U C = {a , b , e , f , i , j}

Then

A ∩ (B U C) = {b , e , i}

Need help with number 2 please!!!

Answers

Answer:

Function g(x) is function f(x) vertically stretched by a factor of 6, reflected in the x-axis, and translated 2 units up.

Step-by-step explanation:

The graph of function f(x) is the parent function.

(Parent functions are the simplest form of a given family of functions).

The graph of g(x) is related to the graph of f(x) by a series of transformations.  To determine the series of transformations, work out the steps of how to go from f(x) to g(x).

Transformations

For a > 0

[tex]\begin{aligned} y =a\:f(x) \implies & f(x) \: \textsf{stretched/compressed vertically by a factor of }\:a \\& \textsf{If }a > 1 \textsf{ it is stretched by a factor of}\: a\\& \textsf{If }0 < a < 1 \textsf{ it is compressed by a factor of}\: a \end{aligned}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

Parent function:

[tex]f(x)=x^3[/tex]

Step 1

Multiply the parent function by 6:

[tex]\implies 6f(x)=6x^3[/tex]

Therefore, this is a vertical stretch by a factor of 6.

Step 2

Now make the function negative:

[tex]\implies -6f(x)=-6x^3[/tex]

Therefore, this is a reflection in the x-axis.

Step 3

Finally, add 2 to the function:

[tex]\implies -6f(x)+2=-6x^3+2[/tex]

Therefore, the function has been translated 2 units up.

Conclusion

Function g(x) is function f(x) vertically stretched by a factor of 6, reflected in the x-axis, and translated 2 units up.

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The measure of B is (3x-4)° and the measure of D is (2x-6)°. What are the measures of angles B and D?

Answers

Answer:

5x - 10

Step-by-step explanation:

→ Find the sum of the expression

3x - 4 + 2x - 6

→ Collect all the x terms

3x + 2x - 4 - 6

→ Simplify

5x - 10

If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x)= 155-(x/10):
a. find an expression for the total revenue from the sale of x thousand candy bars.
b. find the value of x that leads to maximum revenue
c. find the maximum revenue

Answers

The expression for the total revenue from x thousand sales is 155,000x - 100x².

The value of x is 775 cents and the maximum revenue is $60,062,500.

What is the maximum revenue?

First, come up with an expression for total revenue from x thousand sales:

= (155  - x /10 ) × x × 1,000 units

= 155,000x - 100x²

The value of x would then be:

Derive the function from the total revenue function to give:

0 = 155,000 - 200x

x = 775 cents

The maximum revenue is therefore:

= 155,000(775) - 100(775)²

= $60,062,500

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The value of x for the function f(x) = 100+ 0.3x is 210, when
f(x) = 121. True Or False

Answers

Answer:

false

Step-by-step explanation:

the answer is x=70

how to make 27 using 1,2,3,4 only once

Answers

Answer:

1) (4 - 2 + 1)^3

2) 3^2(4 - 1)

3) 3^4/2 + 1

It can be either one of those

Answer:

(2 * 4 + 1) * 3 =

Step-by-step explanation:

how to make 27 using 1,2,3,4 only once

Remember Pemdas

(2 * 4 + 1) * 3 =

(8 + 1) * 3 =

9 * 3 =

27

Which model represents 2 . 36 ÷ 4 ?

A. Three groups each have three tens and 4 ones.

B. There are three groups of five tens and 9 ones in each group.

C. There are four groups of three tens and six ones.

D. There are three groups of five tens and nine ones in each group

Answers

ITS D. Attached screenshot shows D is correct!

THE ANSWER IS D BECAUSE 2.36 ÷4= 0.59
D IS THE ONLY OPTION THAT REPRESENTS THE .59 (5 columns of tenths + 9 ones= .59)

I CHOSE THE WRONG ANSWER FROM A PREVIOUS POST ON HERE WITH THE SAME QUESTION THAT TOLD ME TO CHOOSE C & LEARNED THE HARD WAY, THAT WAS WRONG. THE ANSWER IS D!

Find the area of the shaded portion of the
figure. All angles are right angles.
Dimensions are in inches.
3
8
5

Answers

Answer:

22 [in.²]

Step-by-step explanation:

1. the required area can be calculated as

A=A1-A2, where A1- area of big quadrilateral, A2-area of the small quadrilateral;

2. A=5*8-3*6=40-18=22 [in²].


please help me write an equation for this polynomial graphed

Answers

The equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).

here we have given the graph of the

The roots of the given polynomial is

x=-2,x=-1 and x=3

What is the polynomial?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Therefore the equation of the polynomial is

f(x)=(x+2)(x+1)(x-3)

Therefore the equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).

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The equation for this polynomial graphed will be P(x) = a(x + 2)(x + 1)(x – 3)³.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients.

The graph of the polynomial is given below.

From the graph, the roots of the polynomial will be -2, -1, and 3.

Then the factor of the polynomial will be

(x + 2), (x + 1), and (x – 3)

Then the polynomial will be

P(x) = a(x + 2)(x + 1)(x – 3)³

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Please state the equation of the line in standard form

Answers

Answer:

See below

Step-by-step explanation:

Slope = rise / run

           from 0,-1   to  1.5 , 0

               this is    1 / 1.5    =   2/3

y xis intercept = -1

y = 2/3 x   -1            Slope intercept form

2/3 x - y   = 1             another form

2x - 3y = 3                Standard form (I think this is 'standard form' ....yah?)

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