Calculate the number of side of a regular polygon whose interiors angle are each 156 degree​

Answers

Answer 1

Answer:

Step 1: 180 (straight line)-156(interior angle)=24(exterior angle)

Step 2: 360÷24= 15 sides


Related Questions

will mark as brainliest:)

A Ferris wheel has a maximum height of 111 feet and a minimum height of 5 feet. it takes 80 seconds for the wheel to make a full rotation. it reaches maximum height for the first time at t=8. give an equation h(t) that gives the height of the rider at t seconds. how high is the rider after 23 seconds?

Answers

1/4 of the way done with the Ferris wheel

Can anyone help me with this one plz

Answers

Answer:

its c my dude

Step-by-step explanation:

....................

answer is c because that is right plz brainliest and like plz

Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?

Answers

Answer:

The two inequality are : x ≤  100 and x ≥ 60

So the inequality is : 60 ≤ x≤ 100.

Step-by-step explanation:

Answer:

Hi so the answer to this equation is:

60 _< x _< 100

Step-by-step explanation:

Sorry if it looks a little complicated, another way of phrasing it would be 60 less than or equel to x less than or equel to 100. I think this is the answer because she only has 100 braclets so she cant sell more than that, hence less than or equel to 100. and i believe it is 60 because if she sells each braclet for 5 dollars and her goal is 300, 60 would allow her to reach her goal because 5 x 60 = 300. and she needs to earn at least 300 buckaroos for her fundraiser.

Im not super great with algebra but i hope this is right and that it helps you

peace✌

How many factors does the following number have?

Answers

Step-by-step explanation:

myballsnahajahahahahahahahhahajaajjaajjaaaaaja

Answer: 135

exponents are :2,4,8

add on to each: 3,5,9

3*5*9 = 135

Step-by-step explanation:

Find value a when the angle between vectors U=(2,a) and V = (-6;8) is pie/4​

Answers

Answer:

Step-by-step explanation:

The formula to find the angle between 2 vectors is

[tex]cos\theta=\frac{u*v}{|u||v|}[/tex] which is the dot product of u*v over the (magnitude of u times the magnitude of v). We also know that θ = [tex]\frac{\sqrt{2} }{2}[/tex]. Filling in that formula requires us to find the dot product of u and v, which is

u·v = (2×(-6)) + (a×8) so

u·v = -12 + 8a. Then we need the magnitudes of both u and v:

[tex]|u|=\sqrt{2^2+a^2}=\sqrt{4+a^2}[/tex] and

[tex]|v|=\sqrt{(-6)^2+8^2}=\sqrt{100}=10[/tex]

Putting all of together looks like this:

[tex]\frac{\sqrt{2} }{2}=\frac{-12+8a}{10\sqrt{4+a^2} }[/tex] . Cross multiply to get

[tex]10\sqrt{2}(\sqrt{4+a^2})=2(-12+8a)[/tex] which is tricky to simplify. You really need to know the rules for multiplying radicals to do this correctly. The simplification is

[tex]10\sqrt{8+2a^2}=-24+16a[/tex] and we need to solve for a. Begin by squaring both sides to get rid of the square root to get:

100(8 + 2a²) = 256a² - 768a +576 and simplify some more by distributing through the parenthesis to get

800 + 200a² = 256a² -768a + 576. Combine like terms to come up with

0 = 56a² - 768a - 224 and we need to factor that. Assuming since you're this far in math (pre-calc or maybe late algebra 2) you know how to factor, when you do, you get values for a of - .285714... and 14.

Therefore, the value for a is 14. I checked it...it works

Answer:

a = 14, U = (2, 14)

Step-by-step explanation:

the other answer is correct.

just to add the solution path for the quadratic equation

0 = 56a² - 768a - 224

in general, a quadratic equation usually expressed in x

0 = ax² + bx + c

has its solution as

x = (-b ± sqrt(b² - 4ac))/(2a)

for us here this looks like this then

a = (768 ± sqrt(768² - 4×56×-224))/(2×56) =

= (768 ± sqrt(589824 + 4×56×224))/112 =

= (768 ± sqrt(589824 + 50176))/112 =

= (768 ± sqrt(640000))/112 = (768 ± 800)/112

a1 = (768 + 800)/112 = 1568/112 = 14

a2 = (768 - 800)/112 = -32/112 = -0.29

and the negative solution would be for a vector solution in the wrong direction (down instead of up). as V is pointing up left, and the angle is only 45 degrees (pi/4), also U has to point up.

so, 14 is the solution for U.

PLEASE HELP ME GUYS :((((((( c r y


triangle area ?​

Answers

Answer:

1

Step-by-step explanation:

the answer is in the image above

SOMEONE HELP ME PLEASE

Answers

Answer:

y = 90

Step-by-step explanation:

You can use proportions to answer this question.

[tex]\frac{30}{-3} =\frac{y}{-9}[/tex]

Cross multiply 30 to -9; -3 to y

[tex]-270=-3y[/tex]

Isolate y by dividing -3 on both sides

[tex]y=90[/tex]

Answer:

90

Step-by-step explanation:

30/-3 = ?/-9

Cross Multiply-

30 × -9 = -270

-3 × ? = -3

-270 ÷ -3 = 90

y = 90

Given m||n, find the value of x

Answers

Answer:

The answer is 104 degrees.

Step-by-step explanation:

M is equivalent to N, which means x is also 104 degrees.

Sara makes a triangle using three sticks of lengths 20 cm, 21 cm, and 28 cm. Is the triangle a right triangle ? Please explain

Answers

Answer:

No, 20^2 + 21^2 ≠ 28^2

Step-by-step explanation:

Rewrite each mixed number as a sum of two signed numbers,
3 1/5
-7 3/8

Answers

Answer:

31/5 as a mixed number: 6 and 1/5

-73/8 as a mixed number:-9 and 1/8

Step-by-step explanation:

Rewriting each mixed number as a sum of two signed numbers 3 1/5  and -7 3/8 are 3 and 1/5  and -8 and 5/8 respectively

The mixed number to rewrite as a sum of two signed numbers are as follows:

3  1 / 5-7  3 / 8

Rewriting as a sum of the two signed numbers can be represented as follows;

3 1/5 = 16 / 5

-7 3/ 8 = - 59 / 8

Therefore,

3 1/5  will be 3 and 1/5

-7 3/ 8 will be -8 and 5/8

Note

3 + 1/5 = 3 1/5

-8 + 5/8 = -7 3/8

learn more on fraction here: https://brainly.com/question/24645582

If XU = 3y-5 and RT = 32, find the value of y

Answers

Answer:

Step-by-step explanation:shsjsjdhdbshchdhchfhchdfhehxbehchr hehfhehdhejsjwhd khasa

What is the divisibility rule for 16?

Answers

Answer:

If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.

Add the last two digits to four times the rest. The result must be divisible by 16.

The last four digits must be divisible by 16.

Answer:

If the thousands digit is even, the number formed by the last three digits must be divisible by 16. If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.

Example: 3408: 408 + 8 = 416.

Step-by-step explanation:

who is the mathematics creator ?​

Answers

Archimedes
Archimedes is known as the Father of Mathematics. Mathematics is one of the ancient sciences developed in time immemorial. A major topic of discussion regarding this particular field of science is about who is the father of mathematics. 1

A square dancing contest has 245 teams of 4 pairs each. How many dancers are participating in the contest?

Answers

Answer:

1960 dancers

Step-by-step explanation:

your are on "ace" level and need help here ?

a pair is 2 people

4 pairs is therefore 4×2 people = 8

245 teams of 4 pairs or 8 people each means

245×8 = 1960 people

Use the grouping method to factor this polynomial.
x^3 + 2x^2 + 12x +24
A. (x^2+6)(x+2)
B. (x^2 +2)(x+6)
C. (x^2 +2)(x+12)
D. (x^2 +12)(x+2)

Answers

Answer:

[tex]( {x}^{2} + 12)(x + 2)[/tex]

Step-by-step explanation:

[tex] {x}^{3} +2 {x}^{2} +12x+24[/tex]

[tex]( {x}^{3}+2 {x}^{2} )+12x+24[/tex]

[tex] {x}^{2} (x+2)+12(x+2)[/tex]

[tex]( {x}^{2} + 12)(x + 2)[/tex]

Hope it is helpful...

Chris' home basketball team has a 25% chance or 0.25 probability of winning any given basketball game. What is the probability that they don't win their first game of the season until the 8th game

Answers

Answer:

0.75

Step-by-step explanation:

Given that the probability of winning a game is 25%

Pr(they don't win) = 1 - Pr(they win)

Pr(they don't win) = 1 - 0.25

Pr(they don't win) = 0.75

Hence the probability that they won is 0.75 or 75%

Abhasra and Aliyah are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Abhasra sold 10 rolls of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $170. Aliyah sold 5 rolls of plain wrapping paper and 3 rolls of shiny wrapping paper for a total of $105. Find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper.

Answers

Answer:

$9 and $20

Step-by-step explanation:

Plain wrapping paper - pShiny wrapping paper - s

Equations:

10p + 4s = 1705p + 3s = 105

Double the second equation and subtract from the first one:

10p + 4s - 10p - 6s = 170 - 210-2s = - 40s = 20

Find p:

10p + 4*20 = 17010p = 90p = 9

3,15,75,375 9th term

Answers

Answer:

1,171,875

Step-by-step explanation:

The sequence is multiplying by 5 every time. It will be 3, 15, 75, 375, 1875, 9375, 46,875, 234,375, and then 1,171,875

Find the area of the figure shown below. Use 3.14 for π. Use the formula π x r^2 to find the area of a full circle.

A)32.84 in
B)38.13 in
C) None of these answers
D)62.13 in
E)161.04 in

Answers

Answer:

c

Step-by-step explanation:

none of the answers are correct. The area of the figure is 51.53 in^2 and none of the answers are 51.53 in^2, therefore it is c.

Answer:

D. 62.13 in²

Step-by-step explanation:

the area = (8×6)+(½×3.14×3²)

= 48+14.13

= 62.13

A survey found that people keep their televisions an average of 5.1 years. The standard deviation is 0.85 year. If a person decides to buy a new TV, find the probability that he or she owned the old one for the given amount of time. Assume the random variable is normally distributed.

Answers

Answer:

[tex]P(x<4.4)=0.50[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\=x =5.1 year[/tex]

Standard deviation [tex]\sigma=0.85[/tex]

Generally the equation for Z value is mathematically given by

 [tex]Z = (4.4 - 4.4) / 0.73[/tex]

 [tex]Z= 0[/tex]

Therefore

From table

 [tex]P(x<4.4)=0.50[/tex]

Leila buys candy that costs 8 dollars per pound. She will spend more than 40 dollars on candy. What are the possible numbers of pounds she will buy?

Answers

Answer:

She must buy more than 5 lbs

Step-by-step explanation:

First write the inequality

cost per pound * number of pounds >  total cost

8 * lbs > 40

Divide each side by 8

8 lbs /8 > 40/8

lbs > 5

She must buy more than 5 lbs

One more than two-thirds of a number is the same as the number decreased by three.??​

Answers

Not necessarily.

Two thirds of 15 is 10.
10 + 1 = 11
15 - 11 = 4

So definitely not in most cases.
Don’t know if this helps but I hope it does.

The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

Let's say that number is x

Then,

2/3 of x = (2/3)x

Son,

1 more then  (2/3)x =  (2/3)x + 1

It is the same as x - 3

So,

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

x = 12

Hence "The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12".

For more about fractions,

https://brainly.com/question/10354322

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Solve for c
X=
4
X Х
8
9

Answers

Answer:

C is 356

Step-by-step explanation:

The area of a circle is 810 m2. What is the circumference, in meters? Express your
answer in terms of 7.

Answers

Answer:

answer for this solution is 18π

Step-by-step explanation:

area =πr²

81π = πr²

r² = 81

r = 9

circumference = 2πr

= 2π*9

=18π

Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots.
Which is the total weight of the lettuce and carrots in ounces?
10 ounces
12 ounces
40 ounces
72 ounces
Part B
If he eats half of the total, how much did he eat?

2 pounds 4 ounces

1 pound 8 ounces

1 pound 4 ounces

4 pounds 1 ounce

Answers

Answer:

a.40 ounces b.18 and 12 ounces

Step-by-step explanation:

A.40 ounces because 2 pounds into ounces is 32 oz+8 oz=40 oz

b. 2 pounds is 32oz+4oz=36/2=18oz

1 pound 16+8=24/2=12oz

The perimeter of the rectangle is 80 cm. The area of the rectangle is acm2 . (i) show that x 2 40x + a = 0.​

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex]p = 80[/tex] ---- perimeter

[tex]a \to area[/tex]

Required

[tex]x^2 + 40x + a = 0[/tex]

The perimeter is calculated as:

[tex]p = 2(x + y)[/tex]

Where

[tex]x,y \to[/tex] the rectangle dimension

So, we have:

[tex]2(x + y) = 80[/tex]

Divide by 2

[tex]x + y = 40[/tex]

Make y the subject

[tex]y = 40 - x[/tex]

The area of the rectangle is:

[tex]a = xy[/tex]

[tex]a = x * (40 -x)[/tex]

[tex]a = 40x -x^2[/tex]

Equate to 0:

[tex]x^2 - 40x + a = 0[/tex]

Find the median and mean of the data set below:
48,32,5, 13, 11, 22, 2

Answers

median is 13
mean is 19

Answer:

the median is 13 and the mean is 13

wv^2 / Fg = r

Substitute the given values to find the value of the indicated letter.
r = ?

Given F = 11,000; W = 22,000; v = 164; g = 32

Answers

r = 22000(164)^2/ 11000(32)
r = 1681

Please help and show work please and please no sending links

Answers

By the exterior alternate angle theorem,
80=20+5x
60=5x
x=12=c

4-member curling team is randomly chosen from 6 grade 11 students and 8 grade 12 students. What is the probability that the team has at least 2 grade 11 students?

Answers

Answer:

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

We have that:

6 + 8 = 14 students, which means that [tex]N = 14[/tex]

6 grade 11 students means that [tex]k = 6[/tex]

Teams of 4 members means that [tex]n = 4[/tex]

What is the probability that the team has at least 2 grade 11 students?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,14,4,6) = \frac{C_{6,0}*C_{8,4}}{C_{14,4}} = 0.0699[/tex]

[tex]P(X = 1) = h(1,14,4,6) = \frac{C_{6,1}*C_{8,3}}{C_{14,4}} = 0.3357[/tex]

Then

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0699 + 0.3357 = 0.4056[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4056 = 0.5944[/tex]

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

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