● For the polygon you are assigned, assume the radius is 1 unit . Round all answers to the nearest hundredth , if necessary.

1) Calculate the measure of each interior angle of your polygon. Be sure to show your work!

2) Use your knowledge of trigonometry to find the length of one side of your polygon. Be sure to show your work!

3) Use your knowledge of trigonometry to find the length of the apothem (the segment from the center to the midpoint of one side). Be sure to show your work!

4) Calculate the perimeter of your polygon. Be sure to show your work!

5) Calculate the area of your polygon by splitting it into congruent isosceles triangles. Be sure to show your work!

9514 1404 393

Answer:

  330

Step-by-step explanation:

nCk can be computed from the formula ...

  nCk = C(n, k) = n!/(k!(n-k)!)

Here, that is

  11C7 = 11!/(7!(11-7)!) = 11·10·9·8/(4·3·2·1) = 11·10·3 = 330

_____

Additional comment

Many graphing or scientific calculators have probability functions that will compute this for you.

Answer:

Step-by-step explanation:

i think its 6

Answer:

6

Step-by-step explanation:

Answer:

11.) 135°   12.) 45°

Step-by-step explanation:

11.) When finding one interior angle, you will have to first find the sum of the interior angle using the formula:

Sum of interior angle = ( n - 2 ) 180° where "n" is the number of sides of that shape. So the working will be:

( 8 - 2 ) 180°

= 6 x 180°

Sum of interior angle = 1080°

To find the angle of one interior angle, divide it by the number of sides of that shape.

1080° ÷ 8 = 135°

∴ The measure of one interior angle is 135°

12.) To find the exterior angle, use the formula:

Exterior angle = 360° ÷ n where "n" is the number of sides of that shape. So the working will be:

360° ÷ 8 = 45°

∴ The measure of one exterior angle is 45°

Extra: You can check if the answer is correct by multiplying the answer you got for the exterior angle with the number of sides and that should give you 360°.

Answer:

Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²

Dimensions; X = 250 ft and Y = 500/3 ft

Step-by-step explanation:

Given the data in the question;

2x + 3y = 1000 -------- EQU 1

2x = 1000 - 3y

x = 500 - 3y/2

AREA = x × y = (500 - 3y/2)y

= 500y - 3/2y²

dA/dxy = 500 - 3y = 0

3y = 500

y = 500/3

so from equ 1

2x + 3(500/3) = 1000

2x = 1000 - 500

x = 250

So; Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²

Dimensions; X = 250 ft and Y = 500/3 ft

Answer:

36 customers, 6 guides

Step-by-step explanation:

Given: We know that the total number of guides and customers combined is 42 people, and the ratio of customers to guides is 6/1 (Every 6 customers, there's 1 guide)

So how do we solve this?

One way you can solve this is by making a column. On one side, you put 6, and on the other, you put 1.

Here's an example (obviously, making a column with a keyboard is quite difficult):

6 | 1

What's 6+1?

7.

Now, we need to figure out how many groups of 7 can go into 42.

We can figure that out by dividing 42/7, which gives you 6.

So now let's go back to that column:

6 | 1

Since we know 6+1=7, we can make 6 rows of it:

6 | 1

6 | 1

6 | 1

6 | 1

6 | 1

6 | 1

We know that on the column 6 represents the customers, and 1 represents the guides. So, all we have to do left is either add or multiply (whichever you prefer). I'll show both ways:

Multiplying

We can multiply 6x6 for the left column to get 36. That's how many customers we have. And for the guides, we can multiply 6x1 and get 6. So now we know we have 36 customers and 6 guides.

Adding

On the left side of the column, we have six rows of 6. In order to figure out the amount of customers, all we need to do is add 6 six times. It should be like this:

6+6+6+6+6+6=36

To figure out the guides, we do the same thing, but instead of adding 6 six times, it's 1. (Hopefully for this, you won't need to rely on repeated addition. It's a lot easier to count for 1)

1+1+1+1+1+1=6

So now we know there are 36 customers and 6 guides.

Answer:

shift 4 units to right and 5 units up

Step-by-step explanation:

Answer:

shift 4 units to right and 5 units up

Step-by-step explanation:

Answer:

Building B is about 1416.9 feet tall.

Step-by-step explanation:

Set up the following proportion:

[tex]\frac{879}{67}[/tex] = [tex]\frac{x}{108}[/tex]

Cross multiply.

879 x 108 = 94932

67 x x = 67x

67x = 94932

Divide by 67 on both sides.

x = 1416.9

I hope this helps!

Answer:

15=3(4+s); s=1

Step-by-step explanation:

Answer:

y=15

(8,15)

Step-by-step explanation:

[tex]2y=30[/tex]

Divide both sides by 2 to isolate y.

[tex]\frac{2y}{2} = \frac{30}{2}\\y=15[/tex]

Because y=15, the solution is (8,15).

I hope this helps!

Answer:

the  price sold per kg to earn a profit of 20% is 7.2 kg

Step-by-step explanation:

The computation of the price sold per kg to earn a profit of 20% is shown below:

But before that the normal price per kg is

= 5.4  per kg × 100 ÷ 90

= 6 per kg

Now for 20% profit, the price per kg is

= 6 × (1 + 0.20)

= 6 + 1.2

= 7.2 kg

hence, the  price sold per kg to earn a profit of 20% is 7.2 kg

Answer:

2.7

Step-by-step explanation:

A coefficient is the number multiplied by the variable and is frequently to the left of the variable.

Therefore, it is 2.7

Hope this helps :)

Answer:

35

Step-by-step explanation:

Write an algebraic equation to find the answer. Let x equal the unknown number.  

We know that 11 must be subtracted from the quotient of the number and five. A quotient is the term used to describe a result from division - so the part "the quotient of the number and five" must be [tex]\frac{x}{5}[/tex]. Also, 11 needs to be subtracted from it - so this gives us [tex]\frac{x}{5} -11[/tex]. Finally, it's given that the expression gives a result of -4. So, the algebraic equation must be [tex]\frac{x}{5} -11 = -4[/tex].

To find the answer, let's isolate x:

[tex]\frac{x}{5} -11 = -4\\\frac{x}{5} = 7\\x = 35[/tex]

Therefore, the number must be 35.

Answer:

m∠2 is correct, m∠1 is 85°

Step-by-step explanation:

Since, you already gave the angle for ∠2 in which it is vertical to the one shown, m∠1 must be 85° since you are finding the left angle to make a straight line of 180°

Answer:

Step-by-step explanation:

Original Equation:

-5(-4y - w + 3)

Multiply -5 by -4y

20y

Multiply -5 by -w

5w

Multiply -5 by 3

-15

Plug these values back into the equation

20y + 5w - 15

Hope this helps :)

The distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The equation is given;

⇒-5(-4y - w + 3)

Step 1;

Multiply -5 by -4y

⇒-5×-4y

⇒20y

Multiply -5 by -w

⇒-5 ×- w

⇒5w

Multiply -5 by 3

⇒-5 × 3

⇒-15

Replenish the equation with these values

20y + 5w - 15

Hence,the distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ2

Answer:

1.5

Step-by-step explanation:

Answer:

9.5 cups

Step-by-step explanation:

Answer:

2,-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x-2)^2 + (y+5)^2 =5

Answer:

Here you go, I hope my hand writing is clear :D

The final answer is 4 hours longer

3:8

Step-by-step explanation:

So un-simplified the ratio is 30:80, but because that's not an option, we can simplify it by dividing both values by 10 and get D) 3:8. I hope this helps

Answer: Kevin will have to pay $30 for the jeans.

Answer:

He will have to pay 30$

Step-by-step explanation:

Answer:

f(5) = -36

Step-by-step explanation:

Plug in 5 as x:

f(x) = −6​(x + 1​)

f(5) = -6(5 + 1)

Simplify:

f(5) = -6(6)

f(5) = -36

So, f(5) = -36

Answer:

k = 2

Step-by-step explanation:

Given

5x² - kx + 40

Solution: ⅘

Required

Find k

If the solution is ⅘, then

5x² - kx + 40 = 0 where x = ⅘

Substitute ⅘ for x

5(⅘)² - k(⅘) + 40 = 0

5(16/25) - k(4/5) + 40 = 0

Multiply through by 25

5(16) - 5 * k(4) + 40 = 0

80 - 20k + 40 = 0

Collect like terms

-20k = 0 - 80 + 40

-20k = -40

Divide both sides by-20

k = 2

Given that,

Four roommates share the cost of an apartment: rent, electricity, and gas. Rent costs $1200/month and gas costs $50/month. Each roommate pays $345/month.

To find,

The electric bill per month.

Solution,

Bill of each roommates = $1200+$500+E, E is electricity bill

Total bill = $345/month

Bill of each roommates = 4($1200+$500+E), E is electricity bill

ATQ,

4($1200+$500+E) = $345

So, the correct option is (c).

Answer:

here is a graph from Desmos

Step-by-step explanation:

Answer:

That is the number two (2)

Step-by-step explanation:

Answer:

Given:

Today,  he studies 15 minutes math and 75 minutes science

and from now on, 50 minutes math and 30 minutes science

Step-by-step explanation:

so if he studies for 1 day total time for math and  science will be

math=15+50            science=75+30

       =65 minutes                =105 minutes

2nd day,

math=65+50           science=105+30

       =115 minutes               =135 minutes

3rd day,

math=115+50         science=135+30

       =165 minutes             =165 minutes

So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.

In this exercise we have to use interpretation skills to calculate the total time that studied the two subjects:  

[tex]165 \ both \ subjects[/tex]

Today,  he studies 15 minutes math and 75 minutes science and from now on, 50 minutes math and 30 minutes science. So if he studies for 1 day total time for math and  science will be:

2nd day:  

3rd day:  

So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.

See more about basic math at brainly.com/question/11336992

Answer:

a

Step-by-step explanation: