An exterior angle of a regular polygon is 72°.
(i) what is the size of each interior angle of the polygon?
(ii) Find the number of sides of the polygon.

Mean= 5.1 (Sum of all the terms/number of terms)

‭( 6   +   7   +   2   +   4   +   6   +   6   +   9   +   5   +   3   +   3 )   ÷   10 =‬  5.1

Median= 5.5 (The middle term when you order them from lowest to highest)

2 3 3 4 5 6 6 6 7 9

Step-by-step explanation: The mean of a data set is equal tot he sum of the set of numbers divided by however many numbers are in the set.

So to find the mean of the data set shown here,

let's begin by adding the numbers.

So we have 6 + 7 + 2 + 4 + 6 + 6 + 9 + 5 + 3 + 3.

Adding the numbers, we get 51.

Now, 51 will be divided by the number

of numbers in the set which is 10.

So 51 divided by 10 gives us 5.1.

So the mean of the data set is 5.1.

Now, the median is the middle number in the data set

when the data set is written from least to greatest.

So let's write our data set from least to greatest.

So we have 2, 3, 3, 4, 5, 6, 6, 6, 7, 9.

Notice that there are two numbers in the middle, 5 and 6.

In this situation, add the numbers and divide by 2.

So 5 + 6 is 11 and 11 divided by 2 is 5.5.

So the median is 5.5.

Answer:

5+4x=25

Step-by-step explanation:

You already know you bought 1 $5 magazine so that is the constant. And the question asks how many erasers you bought to equal $25. So to write the equation you know it equals 25 and the 5 is constant, if each eraser is $4 then the x goes with the 4 making it, 5+4x=25

Answer:

The answer to the far left/the Blue Answer.

Step-by-step explanation:

The reason why is because if 1 magazine was the price of $5, that would mean that the total of the erasers AND the magazine equals 25 dollars, as said in the statement. This means that when subtracting 5 dollars from 25 dollars, there are 20 dollars left. This means that if there were 4 erasers, that means that 20 dollars divided 4 erasers equals 5 dollars. This means that each eraser costs 5 dollars, making the Blue Answer/Statement true.

Answer:

111.58 feet

Step-by-step explanation:

Given that the length of the string (AB in the attached diagram) is 120 feet.

Selena (at point D) is standing 24 feet from point A, where the kite is attached to the ground.

Since the kite is directly above Selena's head, the problem forms a right triangle.

Using Pythagoras theorem

[tex]|AB|^2=|BD|^2+|AD|^2\\120^2=|BD|^2+24^2\\|BD|^2=120^2-24^2\\|BD|^2=13824\\|BD|=\sqrt{13824} \\|BD|=117.58$ ft[/tex]

Serena's height (CD=6 feet)

The distance of the kite above her head is BC in the drawn diagram.

Therefore:

|BD|=|BC|+|CD|

117.58=|BC|+6

|BC|=117.58-6

|BC|=111.58 feet

The kite is approximately 111.58 feet above Selena's head/

Answer: The probability is 8%

Step-by-step explanation:

Please add a little more detail on what is going on in the problem / question above.

Answer:

Step-by-step explanation:

Given the relationship between the elapsed time, tea, in days since the videos first uploaded, and the total number of views, V(d) that the video received modeled by the following function

V(d)=[tex]4^{1.25d}[/tex]

In order to know the number of views the video will receive after 6 days, we will substitute the number of days i.e d = 6 into the modeled equation as shown;

[tex]V(6)=4^{1.25(6)}\\V(6)=4^{7.5}\\V(6) = 32,768views[/tex]

Answer:

32,768

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

-30=5(x+1)

-30=5x+5

-30-5=5x

-35=5x

5 5

Answer:

I think its D. -9,7

Step-by-step explanation:

$149.60 that's what he will have left

Answer:

[tex]f(3) = f(3 - 2) \times f(3 - 1)[/tex]

[tex]f(3) = f(1) \times f(2)[/tex]

[tex]f(3) = 4 \times 25[/tex]

[tex]4 \times 25 = 100[/tex]

12 is the measure of the value of f(3).

Based on the given information, we have f(1) = 4 and f(2) = 25.

To determine the value of f(3), we will use the recursive formula

f(n) = f(n - 2) * S(n - 1), where:

S represents the successor function.

Determine f(3):

f(3) = f(3 - 2) * S(3 - 1)

f(3) = f(1) * S(2)

f(3) = 4 * 3

f(3) = 12

Therefore, the value of f(3) from the sequence is 12.

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Answer:

8 millimeters

Step-by-step explanation:

2 x radius = Diameter

2 x 4 = Diameter

8 = Diameter

Step-by-step explanation:

Step 1:  Find the diameter

[tex]diameter = radius * 2[/tex]

[tex]diameter = 4 * 2[/tex]

[tex]diameter = 8[/tex]

Answer:  [tex]diameter = 8[/tex]

Answer:

0.5 Inches

Step-by-step explanation:

1/16=.0625 which is about .1 for estimating purposes

.1 on Saturday + .4 on Sunday = .5 inches of rain over the two days

Answer: 1.5 inches

Step-by-step explanation:

"The amount of rain that fell over two days" means the sum of the two amounts of rain that fell on Saturday and Sunday.

[tex]1\frac{1}{16} +0.4=1\frac{10}{160} + \frac{4}{10} = 1\frac{10}{160} + \frac{64}{160} = 1\frac{74}{160}[/tex]

This number is close to [tex]1\frac{80}{160}[/tex], which is 1.5 inches.

Answer:

130cm

Step-by-step explanation:

Answer:

the price of the socks is 22€

Step-by-step explanation:

To find the value of a pair of socks you first write an algebraic expression for the situation of the problem.

Maria has 52€, she spent 23€ and also she spent in buying the three pairs of socks. You can chose x as the price of one pair of socks, then, Maria spent 3x. In the end Maria is owd 23€.

If you subtract 23€  and 3x to 52€  you obtain a negative value of -13€ . That is:

53 - 3x = -13    (1)

From the last equation you obtain x:

- 3x = - 13 - 53

-3x = - 66

x = (66/3) = 22

hence, the price of the socks is 22€

Answer:

Melissa went to shopping and spent 2/3 of her money on a blouse, then she has 1/3 of her money left. She came home with $12.

=> The amount of money she started with: 12 x 3 =36$

Hope this helps!

:)

Answer:

P=30

W=12

T=16

Step-by-step explanation:

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

[tex] v = \omega*R [/tex]  

Where:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

[tex] R = \frac{n_{(a)}}{n_{(b)}} [/tex]  

Where:

n(a): is the number of teeth on the small gear = 12 teeth  

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

[tex]R = \frac{12}{42} = 0.29[/tex]

Now, the speed of the larger gear is:

[tex]v = \omega*R = 700 rpm*0.29 = 203 rpm[/tex]

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!                        

Answer:

-7

Step-by-step explanation:

Plug in your x and y values and use the information

The value of the expression  14 - (2x - y) when x = 3 and y = 2 is 10.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given,  14 - (2x - y) to obtain the value of the expression when x = 3 and y = 2 we'll imply replace the numerical values of x and y which is,

= 14 - (2(3) - 2).

= 14 - 6 + 2.

= 10

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Answer:

It will take 4 years

Step-by-step explanation:

Here, given the exponential equation that approximates the cost of a car after a certain amount of time, we are tasked with calculating the amount of time it will take to be worth a certain amount.

The exponential equation that approximates the cost of the car is given as;

V = 2,000(0.8)^x

Now, our V = 820 but we want to calculate x which gives the number of years. Substituting this value of V, we get;

820 = 2000(0.8)^x

divide through by 2000

0.41 = 0.8^x

Take the log of both sides

log 0.41 = log 0.8^x

log 0.41 = xlog 0.8

x = log 0.41/log 0.8

x = 3.99 which is approximately 4 years

Answer:

a. 9x^4

b. 3 x^5y

Step-by-step explanation:

a. 5x^4 + 4x^4

Combine like terms

9x^4

b. 12x^5 y − 9x^5 y

Subtract like terms

  3 x^5y

Answer:

the number of tomatoes he gathered for 3 days = 3 × x = 3x  

Step-by-step explanation:

According to the question Stan gathered x number of tomatoes every single day for three days. The total number of tomatoes she gathered altogether can be calculated below.

The number of tomatoes she gathered daily = x

The number of tomatoes she gathered for 3 days will be the product of the daily number of tomatoes she gathered(x) and the number of days she gathered it(3).

Therefore,

the number of tomatoes he gathered for 3 days = 3 × x = 3x  .

Or you could calculate the number of tomatoes she gathered for that 3 days by summing the number of tomatoes she had daily for that 3 days .

The firs day she gathered x number of tomatoes , the second day another x number and finally the last day another x number of tomatoes. Therefore,

x + x + x = 3x

Answer:

4 square feet each.

Step-by-step explanation:

A square is 4 times 4 so if you divide 16 divided by 4 it is 4.

Answer:

The sides are going to 4 square feet long.

Step-by-step explanation:

This is true because since a square has equal length sides. And there are 4 sides. So divided 4 by 16 to get 4. So, the answer is 4 square feet long.

Mark brainliest if ya don't mind!

Answer:

The number of possible chip dip combinations = 5040

Step-by-step explanation:

There are 7 different kinds of chip dip available

The number of chip dip combinations available = 7! combinations

n! = n*(n-1)*(n-2)*........*1

7! = 7 * 6 * 5 * 4* 3 * 2* 1 = 5040

The number of possible chip dip combinations = 5040

Answer:

Let [tex]x[/tex] = Jose's savings

[tex]59-2x[/tex]

I hope I helped you friend! If I am correct, please mark me brainiest. Thanks!

Answer:

yes, they're equivalent

Answer:

Yes ,they are equivalent.

Step-by-step explanation:

2(n + 5) + 4(n + 5) ; here since n+5 is a common factor so we can factor it out :

2(n + 5) + 4(n + 5) = (n + 5)×(2 + 4)

                             = (n + 5)×(6)

                             = 6(n + 5)

Answer:

The distance from point P to point V = 17 ft.

Step-by-step explanation:

A rectangular prism is simply a cuboid,

The image describing the cuboid described, as obtained from from internet is attached to this solution. (It is redrawn to avoid the solution being removed due to violation of community guidelines)

From the image, PR, PS and SR form a right angled triangle on the case of the cuboid.

With PR as the hypotenuse side, using Pythagoras theorem,

(PR)² = (PS)² + (PR)²

(PR)² = 12² + 9² = 144 + 81 = 225

PR = √225

PR = 15 ft.

On a second evaluation, the required length, PV, PR and RV form another right angled triangle with PV as the hypotenuse side, using Pythagoras theorem again,

(PV)² = (PR)² + (RV)²

(PV)² = 15² + 8² = 225 + 64 = 289

PV = √289

PV = 17 ft.

Hope this Helps!!!

Answer:

115.7 km/h

Step-by-step explanation:

velocity = distance/time

velocity = (0.9 km)/(28 s) = 0.032143 km/s

The velocity is 0.032143 k/s. The question is answered, but since km/s is not a common unit of speed, we can convert to a more common unit of speed such as km/h.

velocity = (0.9 km)/(28 s)[(3600 s)/(1 h)] = 115.7 km/h

Answer:

B. 65 centimeters

Hope this helps :)

Tangents are slopes, and there are two angles with the same slope that are 180 degrees apart, not to mention an infinite number of coterminal brethren all with the same tangent.  So this question is a bit ambiguous.

Let's assume they want the principal value of the inverse tangent, between -90 degrees and +90 degrees.  A tangent bigger than 1 means it will be between 45 and 90 degrees.

tan x = 2.246

x = arctan 2.246 = 66.00 degrees

Answer: 66