A regular polygon has 15 sides find the size of each of its interior angles

Answers

Answer 1

Answer:

156°

Step-by-step explanation:

A regular polygon has 15 sides find the size of each of its interior angles

                                              Pentadecagon

The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where is the number of sides. All the interior angles in a regular polygon are equal.

find the sum of the interior angles

(15 - 2) × 180 =

13 × 180 =

2340

we divide by the number of sides

2340 : 15 =

156° is your answer


Related Questions

The difference between total surface area and curved surface area of a hemisphere is 154 cm^2, find it's volume.​

Answers

Answer:

Surface area of a sphere=4πr

2

=154cm

2

⇒4×

7

22

r

2

=154cm

2

⇒r

2

=

4

154

×

22

7

⇒r

2

=

4

49

⇒r=

4

49

∴r=

2

7

=3.5cm

Volume of the sphere=

3

4

πr

3

=

3

4

×

7

22

×(3.5)

3

=

21

88

×42.875‬=179.67cm

3

Can someone help me with this please

Answers

Answer:

  C) The difference between the 75th and 25th percentiles is 12 inches.

Step-by-step explanation:

The interquartile range is the length of the "box" in a "box and whisker" plot. One end is the 25th percentile, and the other end is the 75th percentile. It is the difference between the maximum and minimum of the middle 50% of the data.

For the baker's loaf-length data set, the interquartile range being 12 inches means the loaves in the 75th percentile are 12 inches longer than the loaves in the 25th percentile. This could be described by choice C.

What theorem can be used to prove that the two triangles are congruent?

SAS
AAS
SSS
ASA

Answers

SSS is my best answer.
The SSS Triangle Congruency Postulate.

The two triangles have corresponding, congruent sides. Side QR corresponds to and is congruent to MN as denoted by the single hash mark. Sides QS and MP are corresponding and congruent sides as denoted by the three hash marks. Sides RS and NP are corresponding, congruent sides as denoted by the two hash marks. Therefore, as the SSS postulate states, if three sides in one triangle are corresponding, congruent sides to another triangle, the two triangles are congruent. In both triangles, the three corresponding sides are congruent; therefore, the triangles are congruent.

Alicia is a nurse.

In 2016, she earned a monthly salary of £1750

In 2017, she was awarded a 2% pay increase on her monthly salary.

Given that in 2017 Alicia worked 45 hours per week for 48 weeks,

work out her average pay per hour for the year.







WILL MARK BRAINLIEST IF

- Answer is correct

- Answer is detailed


WILL NOT MARK BRAINLIEST IF:

-Contains links

-Answer not detailed

-Answer incorrect


(P.s: must be 2 answers pls)
Thanks

Answers

Answer:

See below

Step-by-step explanation:

2% increase on 1750=

1750 * 1.02 = 1785

1785 per month gives 1785 * 12 = 21420 per year.

Divide 21420 by 48 weeks = 446.25 per week

Divide 446.25 by 45 hours = 9.92 per hour

Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,

(100%+2%) of £1750

= 1.02 × £1750

= £1785 per month

Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,

Total Earning = 12 × £1785 = £21,420

As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be

Number of hours = 45 hours × 48 weeks = 2,160 hours

Now, the earnings per hour can be written as,

Earning per hours = £21,420/2,160 hours = £9.92/ hour

Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

How can you tell that x and y are NOT directly proportional? A) x is 0 when y is 0. B) y is getting farther away from x. C) x is increasing by the same amount. D) y is increasing by different amounts.
x y
0 0
1 3
2 5
3 9

Answers

Answer:

D) y is increasing by different amounts.

Answer:

d

Step-by-step explanation:

Please help WILL MARK BRAINLIST!!!!

Answers

Answer:

22

Step-by-step explanation:

2x+x-2=2x+9

3x-2=2x+9

x-2=9

x=11

MN=2x

MN=2(11)

MN=22

The two parallel sides of a trapezium are 19.8 and 7.2 and its area is 135 cm²..find its height

Answers

Answer:

10cm

Step-by-step explanation:

the formula for an area of a trapezium:

[tex] \frac{(a + b) \times h}{2} = area[/tex]

where a and b are the parallel sides and h is the height. equating what we have:

[tex] \frac{(19.8 + 7.2) \times h}{2} = 135[/tex]

simplify the numerator by adding 19.8 and 7.2=27

[tex] \frac{27h}{2} = 135[/tex]

multiply both sides by 2

[tex]27h = 270[/tex]

divide both sides by 27

[tex]h = \frac{270}{27} = 10[/tex]

the height is 10cm

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y
Complete the table to determine the values of m and b.

Answers

Answer:

A

Step-by-step explanation:

Sam the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday
there were 5 clients who did Plan A and 3 who did Plan B. on Thursday there were 7 clients who did Plan A and 9 who did Plan B. Sam trained his Wednesday
clients for a total of 6 hours and his Thursday clients for a total of 12 hours. How long does each of the workout plans last?
Length of each Plan A workout:
Length of each Plan B workout:

Answers

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes

If sixteen dried beans weigh one ounce, then how many dried beans wiring one pound

Answers

Answer:

96 dried beans will weigh one pound

16 beans in one ounce x 16 ounces in a pound = 256 beans total.

The figure below shows a rectangular prism and a cube:

A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 4 inches, the width is 3 over 4 inch, and its height is 1 and 2 over 4 inches. The cube has a side length of 1 over 4 inch.

How many such cubes are required to completely pack the prism without any gap or overlap?
choices:
288
576
1,152
1,636

Answers

800 cubes is ur answer

Answer:

576

Step-by-step explanation:

find the volume and then divide by the cube

The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find its base and height.

Please explain also​

Answers

Answer:

Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)

1 hectare = $36

$486 = 13.5 hectares

13.5 hectares = 1/2 × b × h

To get b × h, you use the reverse of the formula. Hence:

13.5 = 1/2 × b × h

13.5 ÷ 1/2 = b × h

               = 27

27 is b × h.

The question states that the base is three times the height. Hence:

b = 3u

h = 1u

b × h = 27

        = 3u × 1u

Thus, we need to find one value which is three times the other, in order to get a product of 27.

Factors of 27:

1 × 27

3 × 9

9 is three times of 3. Thus, the base is 9, while the height is 3.

Translate this phrase into an algebraic expression.
54 decreased by twice a number
Use the variable n to represent the unknown number.

Answers

Answer:

54 - (2n)

Step-by-step explanation:

First you take 54

Then its says to “decrease (said number: 54) by twice a number”

Decrease meaning “take away/remove”.

So you subtract 54 by 2 —> 54 - 2

But then, the important line comes along, “Use the variable n to represent the unknown number.

This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.

So your answer is —> 54 - (2n)

Answer:

54 - 2n

Step-by-step explanation:

54 - 2n

The ground temperature at an airport is 14 °C. The temperature decreases by 62 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?​

Answers

Answer:

52°C

Step-by-step explanation:

Find the measure of the indicated angle in the triangle.

Answers

Answer:

70°

Step-by-step explanation:

The V angle is complementary with the R which means that

120° + V angle = 180° Therefore V = 60°

The sum of the internal angles of the triangles equals 180.

We have 50° + 60° + U = 180

70° is the answer

X=?

38 degrees 75 degrees

Answers

sum of angle of triangle is 180°

A+B+C = 180

38°+75°+ X = 180°

113° + X = 180°

X = 180° -113

X = 67°

Answer:

67

Step-by-step explanation:

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer: 54 words does Rachel type per minute

Step-by-step explanation:

Rachel types 162 words in 3 minutes Rachel types at a constant rate.

We have to find how many words does Rachel type per minute.

By definition of unit rate: all we do is divide 162 by 3 which gives us 54

Answer:

54 words per minute

Step-by-step explanation:

In 3 minutes Rachel types 162 words

Then

In 1 minutes,Rachel types 162÷3 words

In 1 minutes Rachel types 54 words

.

. . Rachel types 54 words per minute

Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether. Also, she must buy no less than 2 hotdogs. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Find out more on inequality at: https://brainly.com/question/241541

Diane is participating in a 5-day cross-country biking challenge. She bikes for 47, 46, 61, and 50 miles on the first 4 days. How many miles does she need to bike on the last day so that her average (mean) is 53 miles per day

Answers

She wants 250 in 5 days bc 53x5=250. Then add 47,46,61, and 50. This is 204. After you do 250-204 which equals 46.
Answer:
So Diane needs to run 46 miles on the 5th day to make her goal.

If 3x = 21, find the value of 23 - 4x​

Answers

Answer:

- 5

Step-by-step explanation:

Given

3x = 21 ( divide both sides by 3 )

x = 7

Then

23 - 4x = 23 - 4(7) = 23 - 28 = - 5

Need help on geometry TO PASS My Class so can you help please

Answers

Answer:

x=12

Step-by-step explanation:

since it is an equilateral triangle the angle r all the same the angle have to equal 60

Since it's a equilateral triangle.

[tex]\\ \sf\longmapsto 5x+5x+5x=180[/tex]

[tex]\\ \sf\longmapsto 15x=180[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

m<S=5x=60°

Maci is saving money to go to Disney world for spring break. She has saved $570 so far. She works at Walmart and makes $9.20 per hour. How many more hours must work ur she needs a total of $800 to go to Disney world?

Answers

Answer:

25 hours

Step-by-step explanation:

subtract 800 from 570 to find out how much more she needs to save

divide your answer by 9.20

hope you understand

At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.

Answers

Capacity of tank be x

At end of journey the tank was half filled.

Hence x/2 filled

Now used percentage is 30%

[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]

Now

added gasoline=8gallon

Expression:-

[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]

What is 4/6 divided by 3/12 what is the quotient

Answers

Answer: 8/3, 2 2/3

Step-by-step explanation:

reciprocal of 3/12 is 12/3

soooooo

4/6 x 12/3

which is 48/18

u can divide that by 6

which is 8/3

or 2 2/3

1.) Jacob bought a total of 9 pizzas for his class party. The amount of
large pizzas was twice the amount of medium pizzas. How many large
and how many medium pizzas did he buy?
Equation #1:
Equation #2:
Large Pizzas:
Medium Pizzas:
what’s the equations

Answers

He purchased 6 large pizzas and 3 medium pizzas.

Answer:

Equation 1: L+M=T

Equation 2: 2M=L

Large Pizzas: 6 pizzas

Medium Pizzas: 3 Pizza

Step-by-step explanation:

Equation 1 looks like L+M=T where L is large pizza, M is medium pizza and T is Total of pizzas. The second one would look like 2M=L, to represent how twice the amount of medium pizza equal large pizza. If you were using different variables it would look like X+Y=Total, and 2X=Y.

.The quotient of 9.75 and a number is-6.5

Answers

Answer:

1.5

Step-by-step explanation:

Set uo an algabraic equation like so:

9.75/x=6.5

Solve by multiplying both sides by x

then you get 9.75=6.5x

Then you divide 6.5 on each side

x=1.5

Answer:

1.5

Step-by-step explanation:

9.75/5.5=1.5

The perimeter of a triangle is 42 centimeters. The longest side is 2 centimeters less than 3 times the shortest side and the pother side is 2 centimeters more than twice the shortest side. Find the length of each side.

Answers

Answer:

  7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

  P = s + (3s -2) +(2s +2)

  42 = 6s . . . . . simplify, use the given value of perimeter

  7 = s . . . . . . . divide by 6

  2s+2 = 16

  3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.

Without using your calculator, work out 27 -
Give your answer as a fraction in its lowest terms.
You must show each step of your working.

Answers

Answer: So, 27 as a fraction would be 27/1 i guess? lol

Answer:

27/1 it's correct answer

The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of ​​the original piece of land.

Answers

Step-by-step explanation:

Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m

Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m

If 4 small square flower bed of side length 1 m are made at center.

To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.

Perimeter of the rectangle = 2 × ( length + breadth )

= 2 × ( 25/2 + 26/5 )

= 2 × ( 177/10 )

= 177/5 m

= 35.4 m

Area of the rectangular land = Length × Breadth

= 25/2 × 26/5

= 5 × 13

= 65 m²

Area of a flower bed = side × side = 1 × 1 = 1 m²

Area of 4 flower bed= 4 × 1 = 4 m²

Area left in the land = 65 - 4 = 61 m²

Therefore, Perimeter of the land is 35.4 m

Area of land is 65 m²

Area of the land left after flower beds is 61 m²

2(1+a) * 5(1+a)
help u u want to help or else continue helping

Answers

Step-by-step explanation:

We simply multiply what there is to multiply:

10(1+a)^2 = 10a^2 + 20a + 10

= (2+2a)*(5+5a)
=10+10a+10a+10a^2
=10+20a+10a^2
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