A side of a regular polygon is 10cm. If each interior angle is 156. Calculate its perimeter.​

Answers

Answer 1

Answer:

  150 cm

Step-by-step explanation:

The total of exterior angles is 360°. We can use this fact to find the number of sides. The perimeter is the total length of all of the congruent sides.

Exterior angles

The measure of an exterior angle of the regular polygon is the supplement of the adjacent interior angle:

  exterior angle = 180° -156° = 24°

The total of n of these angles is 360°, so n is ...

  24°×n = 360°

  n = 360°/24° = 15

The polygon has 15 exterior angles, hence 15 sides

Perimeter

The perimeter is the total length of the 15 congruent sides:

  P = 15×(10 cm) = 150 cm

The perimeter of the regular polygon is 150 cm.


Related Questions

Does this graph represent a function? Why or why not? ​

Answers

Answer is D. Yes because it passes the vertical line test
Reason - it proves one output, y, for each unique input, x.

Write the measure of minor arc CE as the sum of the measures of minor arcs.

Answers

Circumference
= 2pir
= 2(3.142)(4)
= 25.1327412 cm

Minor arc CE
= 1/4(2)(3.142)(4)
= 6.28318531 cm

Hope it helps : )

A ship leaves port on a bearing of 36.0° and travels 12.1 mi. The ship then turns due east and travels 6.1 mi. How far is the ship from port, and what is its bearing

Answers

The bearing angle exists 53.49°.

How to estimate the bearing angle of a ship?

A bearing of 36° corresponds to the corresponding angle of

θ = 90 -36 = 54°

The (x, y) values for the position of the ship after achieving its first heading exist:

[tex]x_1[/tex] = 12.1 Cos 54° = 7.11 m

[tex]y_1[/tex] = 12.1 Sin 54° = 9.78 m

Our second displacement exists a simple 4.6 mi due east, that exists, the positive x-direction. The components exist therefore

[tex]x_2[/tex] = 6.1 mi

[tex]y_2[/tex] = 0 mi

To find the total displacement from the port, we'll add these two vectors' components and use the distance formula:

Δx [tex]= x_1+x_2[/tex]

= 7.11 mi + 6.1 mi = 13.21 mi

Δy [tex]=y_1+y_2[/tex]

= 9.78 mi + 0 mi = 9.78 mi

[tex]$r=\sqrt{(x_{total})^2+(y_{total})^2}[/tex]

[tex]=\sqrt{(13.21mi)^2+(9.78mi)^2}[/tex]

= 16.43 mi

The direction of the displacement vector exists given by

tan θ = Δy/Δx

θ = arc tan (Δy/Δx)

= arc tan (9.78/13.21)

= 36.51°

The question requested for the bearing angle, which exists just this angle subtracted from 90°:

90° - 36.51° = 53.49°.

Therefore, the bearing angle exists 53.49°.

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fertilizer you put 2 qts for every 50 gal of water I only want to use 15gal of water how many qts,pts,cups??? do i put

Answers

Answer is 1.2 pints fertilizer
Step by step
First I’m going to change 2 quarts to 4 pints because we are going for a smaller portion of water to fertilizer
Next you find your rate
50 gal water to 4 pints fertilizer = 12.5 rate
We want to solve for x, 15 gallons water to x fertilizer
50/2 to 15/x
Substitute your rate for x and divide
15/12.5 = 1.2 pints

bryan brought 8/10 gallon of water on a hiking trip.he drank 4/10 gallon of water.how much water is left

Answers

The amount of water left is 4/10 gallons

Difference of fractions

Fractions are written as a ratio of two integers

Given the following parameters

Amount of gallon bought = 8/10 gallons

Amount he drank = 4/10

Determine the amount left

Amount left = 8/10 -4/10

Amount left = 4/10 gallons

Hence the amount of water left is 4/10 gallons

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Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.

What are the values a, b, and c in the following quadratic equation?

Answers

In the given quadratic equation, - 3x² - 5x + 9 = 0, we have the values, a = -3, b = -5, and c = 9. Hence, option C is the right choice.

A quadratic equation is a polynomial of degree 2, in a single variable x.

The standard form of a quadratic equation is ax² + bx + c = 0.

The quadratic formula is used to find the solution(s)/root(s) of this equation.

The quadratic formula is:

[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Thus, identifying the values of a, b, and c, is the first step in using the quadratic formula to find a solution(s)/root(s) to a quadratic equation.

In the question, we are asked to find the values of a, b, and c, in the given quadratic equation - 3x² - 5x + 9 = 0.

To find the values of a, b, and c, we compare the given equation, to the standard form of a quadratic equation, ax² + bx + c = 0.

On comparing, we get a is the coefficient of x², that is, a = -3.

On comparing, we get b is the coefficient of x, that is, b = -5.

On comparing, we get c is the constant term, that is, c = 9.

Thus, in the given quadratic equation, - 3x² - 5x + 9 = 0, we have the values, a = -3, b = -5, and c = 9. Hence, option C is the right choice.

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The provided question is incomplete.

The complete question is:

"Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.

What are the values a, b, and c in the following quadratic equation?

- 3x² - 5x + 9 = 0

A. a = 5, b = 9, c = 0B. a = 3, b = 5, c = 9C. a = −3, b = −5, c = 9D. a = −5, b = 9, c = 0."

Can someone help me with this plss

Answers

Answer:

6. Quadrant four

7. Quadrant three

8. Quadrant one

Step-by-step explanation:

These questions give you points to graph and then asks which quadrants they are graphed in. Here is a visual.

what is the equation for -2(5x+8)

Answers

Answer:

Step-by-step explanation:

-10x-16

Answer:

distribute the -2 so your answer is -10x-16

Step-by-step explanation:

Which of the following expressions does sin(x + y) - sin(x - y) simplify to?
O2(sin x)(sin y)
O2(sin x)(cos y)
O2(cos x)(cos y)
O 2(cos x) (sin y)

Answers

The answer choice which sin(x + y) - sin(x - y) simplifies to is; 2(cos x)(sin y).

Which of the following expressions does sin(x + y) - sin(x - y) simplify to?

It follows from the task content that the expression given in the task content can be simplified by trigonometric identities as follows;

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy -cosxsiny)

= 2cosxsiny.

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3
If a product costs $15,000 for the first unit and there is
a 15% discount starting on the second unit, a 30%
discount (from the original price) starting on the 4th
unit, what would be the cost for 7 units?

Answers

It would cost $72,000 for 7 units of that product.

The term “discount” refers to the pricing system in which the price of a commodity (goods or services) is lower than its marked price listed price. It is simply to say, 'discount' is a percentage of the listed price. A discount is a kind of price deduction in products that is noticed in consumer transactions, where the buyers have proposed a percentage of rebates on various products in order to boost sales. This rebate offered by the seller to buyer is known as a discount.

Original cost of product = $15,000.

For the second product there is a discount of 15%, thus selling price for the second product = $15,000 x 0.85 = $12750

For the fourth product and on there is a discount of 30%, thus selling price for the fourth product and on = $15,000 x 0.70 = $10500.

Thus total price of 7 units =  $15,000 + $12750x2 + $10500x3

=   $15,000 +   $25,500 + $31500

= $72,000

Thus it would cost $72,000 for 7 units of that product.

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The nurse must give a patient 9 milligrams of a medication. If the tables are 2 milligrams each, how many tablets are needed?

Answers

Answer:

4.5 tablets.

Step-by-step explanation:

We just divide 9 by 2.

13. The tablets needed is 4 and a half.

14. There are 10 half-gram doses available from the 5 gram vials of medication.

15. Pat's heart beats approximately 58.5 times in 3/4 of a minute.

Given are words problems based on the mixed numbers:

13. To determine the number of tablets needed, we divide the total dosage required by the dosage per tablet.

In this case, the nurse needs to administer 9 milligrams of medication, and each tablet contains 2 milligrams.

So, the number of tablets needed is:

9 milligrams / 2 milligrams per tablet = 4.5 tablets

Hence, the tablets needed is 4 and a half.

14. If the pharmacy has 5 gram vials of medication, we can calculate the number of 1/2 gram doses available by dividing the total amount of medication by the dose size.

The total amount of medication in grams is 5 grams.

To find the number of 1/2 gram doses available, we divide the total amount of medication (5 grams) by the dose size (1/2 gram):

5 grams / (1/2 gram) = 5 grams x (2/1 gram)

= 5 x 2 = 10 doses.

Therefore, there are 10 half-gram doses available from the 5 gram vials of medication.

15. To calculate how many times Pat's heart beats in 3/4 of a minute, you can use a simple proportion:

1 minute = 78 beats

3/4 minute = ? beats

Let's solve for the number of beats in 3/4 of a minute:

Number of beats in 3/4 minute = (3/4) x 78

= 0.75 x 78

= 58.5

So, Pat's heart beats approximately 58.5 times in 3/4 of a minute. Since you can't have half a heartbeat, the closest whole number is 58 beats.

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O. Find the distance between P (10,-7) and Q (7,- 10). Leave your answer in radical
form.

Answers

Answer:

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

Step-by-step explanation:

You can the distance between P(10,-7) and Q(7,-10) by using 'PQ=

[tex] \sqrt{(10 - 7) ^{2} } + \sqrt{ ( - 7 + 10) ^{2} } [/tex]

Also, for example the distance between A(a,b) and B(c,d)

is

[tex] \sqrt{(a - c)^{2} } + \sqrt{(b - d) ^{2} } [/tex]

Answer:

[tex]\sqrt{18}[/tex] or [tex]3\sqrt{2}[/tex] units.

Step-by-step explanation:

To find the distance between two points, we can use the Distance Formula.

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given:

P (10, -7) ⇒ x₁ = 10, y₁ = -7

Q (7, -10) ⇒ x₂ = 7, y₂ = -10

Substitute the given values into the formula and simplify.

[tex]\\\implies d=\sqrt{\bold{(7-10)}^2+\bold{(-10-(-7))}^2}\\\\\implies d=\sqrt{\bold{(-3)}^2+\bold{(-10+7)}^2}\\\\\implies d=\sqrt{9+\bold{(-3)}^2}\\\\\implies d=\sqrt{\bold{9+9}}\\\\\implies d=\sqrt{\bold{18}}\\\\\implies d=\sqrt{\bold{9}\times2}\\\\\implies d=3\sqrt{2}[/tex]

The distance between points P and Q is [tex]\sqrt{18}[/tex] or [tex]3\sqrt{2}[/tex] units.

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Find the product of 2.1n(6n + 3.4).

12.6n + 3.4
8.1n + 3.4
8.1n2 + 7.14n
12.6n2 + 7.14n

Answers

12.6n2+7.14n is the right option have a good day :)
I think the last one is right. 12.6n2+7.14n

What is the center of the circle given the following equation? (x-h)² + (y-k)² = r²​

Answers

Answer:

on a coordinates plane :

The point of coordinates (h , k) is the center of the circle.

Step-by-step explanation:

by definition the expression:

(x-h)² + (y-k)² = r²

is the equation of the circle (in standard form)

Where r is the radius and (h , k) is the center of the circle.

It is the general equation of a circle

Correct answer:

The general equation of a circle is [tex](x - h)^2 + (y - k)^2 = r^2,[/tex]where (h, k) represents the location of the circle's center, and r represents the length of its radius. if we take some entities as [tex]h=4,k=-3[/tex] first has the equation of [tex](x - 4)^2 + (y + 3)^2 = 29[/tex]. This means that its center must be located at (4, –3), and its radius is √29.

Reference link -

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Sets J and F are defined as follows.
J= {c,e,f}
F={g,k,j}
Answer each part below. Write your answer in roster form or as 0.
Find the intersection of J and F.
FInd the union of J and F.

Answers

The value of J ∩ F =  ∅

The value of J ∪ F = {c, e, f, g, k, j}

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sets J and F are defined as follows;

J = {c, e, f}

F = {g, k, j}

Now,

Since, Sets J and F are defined as follows;

J = {c, e, f}

F = {g, k, j}

Hence, The value of J ∩ F =  {c, e, f} ∩ {g, k, j}

                                         = ∅

The value of J ∪ F = {c, e, f} ∪ {g, k, j}

                            = {c, e, f, g, k, j}

Thus, The value of J ∩ F =  ∅

The value of J ∪ F = {c, e, f, g, k, j}

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true or false, [tex]\pi[/tex] only used to determine the area of a circle?

Answers

False technically. The formula is pie times radius squared. It’s in the formula but it’s not the only variable needed in order to determine the area

IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

Answers

Answer: A = JIH

B = GJH

C = GH

D = 300

E = 60

Step-by-step explanation:

A) <JIH is a inscribed angle

B) GJH is a major arc

C) GH is a minor arc

D) m GH = m<GFh = 60

he graphs of y = 3x and y = 3x are shown below.




In general, how does the growth of y = 3x compare to the growth of y = 3x?

The function y = 3x is growing slower than y = 3x.

The function y = 3x is growing faster than y = 3x.

The functions y = 3x and y = 3x are growing at the same rate.

The function y = 3x is growing slower than y = 3x.

Answers

The function which compares the growth of both functions is; The function y = 3x is growing slower than y = 3^x.

Which answer choice correctly compares the growth of the graphs?

The graphs in the task content are given as y=3x which is a linear graph, and y=3^x which is the exponential graph.

Hence, it follows that although both graphs are growing, the graph of function y = 3x is growing slower than y = 3^x.

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According to the tables used by insurance companies, a 47-year old woman has a 0.179% chance of passing away during the coming year. An insurance company charges $204 for a life insurance policy that pays a $100,000 death benefit. What is the expected value for the person buying the insurance?

Answers

The expected value for the person buying the insurance is -25.

How the expected value is calculated?

The expected value is the average gain or loss of an event if the event is repeated a number of times.

Expected value = ∑xP(x)

Calculation:

It is given that,

The probability of a 47-year-old woman passing away during the coming year is 0.179% = 0.00179

The death benefit = $100,000 - $204 = $99,796

The loss from living = -204

Then the expected value = 99796(0.00179) + (-204)(0.99821) = -25

Therefore, the expected value for the person buying the insurance is -25.

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After flying at an altitude of 500m, a helicopter starts to descend when its ground distance from the landing pad is 11 kilometers. What is the angle of depression for the flight?

Answers

Answer:

2.603 degrees

Step-by-step explanation:

This word problem is talking about a triangle. 500 meters high would be the height and 11 Kilometers would be the base. We should convert kilometers to meters in order to make this easier. 11 kilometers = 11,000 meters.

Height = 500

Base = 11,000

The hypotenuse ends up being 11,011.35777

in order to find the angle of depression (assuming it is a constant rate) we would measure the angle where the hypotenuse meets the base. (11,000 & 11,011.35777) the angle comes out at 2.603 degrees. Hope this helped!

In the following diagram, line m is parallel to line n and line q intersects the parallel lines at

Answers

Answer:

108°

Step-by-step explanation:

We know for a theorem that A = B, so:

4x + 28 = 2x + 68

Isolating the x:

2x = 40

x = 20

Now let's plug in the equation for A:

4(20) + 28 = 108°

please open the attached image

Answers

The function that will have a horizontal asymptotes are function B, C and D

Horizontal asymptotes of a function

A function is said to have a horizontal asymptotes of the degree of the numerator is less or equal to that of the denominator.

From the rational expression given, the function A and E wil have no horizontal asymptotes since the power of the numerator is greater abd equal to the denominator,

The function that will have a horizontal asymptotes are function B, C and D

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A single card is drawn from each of two decks of 52 cards. What is the probability of getting a heart from the first deck and then a diamond on the second deck?

a)0.09%
b) 6.25%
c)13%
d)52%

Answers

A single card is drawn from each of two decks of 52 cards. The probability of getting a heart from the first deck and then a diamond on the second deck is 6.25%.

Probability means possibility.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

There are 52 cards in a standard deck.

So, the total number of possible outcomes=52

We have to pick a single card from each of decks of 52 cards.

In a deck of 52 cards there are 13 heart cards and 13 diamond cards.

Therefore the probability of getting a heart from the first deck=13/52

And the probability of getting a diamond from the second deck=13/52

Hence the probability of getting a heart from the first deck and then a diamond on the second deck=(13/52)×(13/52)=6.25%

Thus, the probability of getting a heart from the first deck and then a diamond on the second deck is 6.25%.

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Answer:

6.25%

Step-by-step explanation:

I got it right on the test.

If 36^12-m = 6^2m, what is the value of m?
=

Answers

Answer:

The answer to your question is m = 6

Step-by-step explanation:

I hope this helps and have a good day!

Answer:

36^12 - m = 6^2m

6^2(12 - m) = 6^2m

24 - 2m = 2m

24 = 4m

m = 6

calendario matematico la necesito ya porfa.

Answers

The common difference based on the sequence given is 15.

How to illustrate the sequence?

It should be noted that the sequence given Isa arithmetic sequence.

The common difference will be the second term minus the first term. This will be:

= 101 - 86

= 15

In conclusion, the difference is 15.

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Find the area of the triangle with sides 40, 50, and 60.

Answers

The area of the triangle is 1000 unit square

What is the area of a triangle?

The area of a triangle is half the base multiplied by the height

The formula is given as;

Area = 1/2 × b × h

From the information given, the base is given as 50 and the height is 40

Area = 1/ 2 × 50 × 40

Area = 1/ 2 × 2000

Area = 1000 unit square

Thus, the area of the triangle is 1000 unit square

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a map has a scale of 2in: 6mi. if a two twons on a map is 10 in apart then how far apart are the real twons

Answers

Answer:  30 miles

Work Shown:

2 in : 6 mi

5*2 in : 5*6 mi

10 in : 30 mi

At the city museum, child admission is $5.60 and adult admission is $9.30. On Sunday, 141 tickets were sold for a total sales of 974.60. How many child tickets were sold that day?

Answers

x = child tickets

y = adult tickets

x + y = 141

5.60x + 9.30y = 974.60

y = 141 - x

5.60x + 9.30 ( 141 - x ) = 974.60

5.60x + 1311.3 - 9.30x = 974.60

-3.70x + 1311.3 = 974.60

-3.70x = 974.60 - 1311.3

-3.70x = -336.7

x = 91

91 child tickets were sold that day

Let child ticket be x.
Let adult ticket be y.

x+y=141 (1)
5.6x+9.3y=974.6 (2)

From (1),
5.6x+5.6y=789.6 (3)

(2)-(3)
3.7y=185
y=50

Sub y=50 into (1)
x+y=141
x=91

Therefore x=91 and y=50.
Hence 91 child tickets was sold that day.

Hope it helps : )

Which statement most clearly shows an example of ethos? There is nothing more important than making sure everyone has access to a quality education. O Today, too many recent college graduates are struggling to secure a job in their field of study. O As the CEO of a major technology company, I am constantly making tough hiring decisions. O While a college education isn't everything, it does make a difference on a job application. Mark this and return Save and Exit Next Submit​

Answers

The statement that most clearly shows an example of ethos is C. As the CEO of a major technology company, I am constantly making tough hiring decisions.

What is an ethos statement?

An ethos statement establishes the credibility, knowledge, and good moral character of the speaker or writer.

The use of ethos is meant to sound fair or to demonstrate credibility, expertise, education, or pedigree.

Thus, an example of ethos is when this CEO claims they constantly make tough hiring decisions.

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At some department​ store, all suits are reduced ​20% from the retail price. If a man purchased a suit that originally retailed for 231​.20 how much did he​ save?

Answers

well, we know the suits are all reduced by 20%, so the man saved 20% of 231.20

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 231.20}}{\left( \cfrac{20}{100} \right)231.20}\implies 46.24[/tex]

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Interpret the change in ROE due to the change in interest rate.AROE of Bank decreased due to changes in interest rate.BROE of Bank had no effect due to changes in interest rate.CROE of Bank is zero to changes in interest rate.DROE of Bank increased due to changes in interest rate. how are executive functions related to behavioral patterns of individuals with autism spectrum disorder? predator and prey populations appear to ? directly control each other, be largely independent of each other, cycly in relation to each other Electrolytic Cells and the Determination of Avogadros Number What are some possible sources of error in this experiment? Would solid sodium chloride conduct electricity? And why. What did you notice about the solution as the experiment proceeded? Read the article titled "World Trade Organization" When was the World Trade Organization created, and what are its main activities? Different kinds of substances have different properties. Compare and contrast the electrical properties of salts, metals, and acids. upon closure of a project, what happens to the information gathered throughout the course of the project? the market has an expected rate of return of 12.5 percent. the appropriate risk free rate is 3.25 percent. what is the market risk premium? You have isolated several loss-of-function com mutations that prevent bacterial cells from growing on the disaccharide sugar "comatose". The mutations map to two linked but separate sequences, comA and comB. You have found that comA encodes an enzyme required for comatose catabolism. You construct two F strains that are merodiploid for both comA and comB, and test their ability to grow on comatose. The results are:strain 1: comA comB / F comA+ comB+ - grows on comatose.strain 2: comA+ comB / F comA comB+ - does not grow on comatose.No gene order is implied by the genotypes. What is the wild type comB locus most likely to be or to encode?a trans-acting positive regulator.a cis-acting site for positive regulation.a cis-acting site for negative regulation.a second enzyme required for comatose catabolism.a trans-acting negative regulator. A cost that has to be weighed into the debt decision is the expected cost of bankruptcy. As the cost rises, companies should borrow less money. Assume that you are looking at an Australian energy company that has historically enjoyed monopoly power and has funded itself with a significant amount of debt. The energy market has now been opened up to competition. Critical discuss the company's capital structure policy and what are the implications to its shareholders? privacy in the global village has two important dimensions: the use of personal information people willingly give online and the protection of