The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11. 8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet.

Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)

We know that the angles opposite to equal sides of a triangle are equal.

∴ AB = AC ⇒ ∠B = ∠C

Now, Side BA of Triangle ABC has been produced to D.

∴ ∠CAD = ∠B + ∠C (Exterior angle = sum of int. opp. angles)

⇒ 3x - 10 = 25 + x + 15

⇒ 3x - 10 = 40 + x

⇒ 3x - x = 40 + 10

⇒ 2x = 50

⇒ x = 50/2

⇒ x = 25

∴ The value of 'x' in the given figure is 25!

The value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees

Given the following expression

sin x = 0.5015

Taking the inverse of both sides

sin⁻¹(sinx) = sin⁻¹0.5015

x = sin⁻¹0.5015

x = 30.09 degrees

For the cos function

cos⁻¹(cosx) = cos⁻¹0.5015

x = cos⁻¹0.0670

x = 86.16 degrees

For the tan function

tan⁻¹(tanx) = tan⁻¹0.5015

x = tan⁻¹0.5015

x =38.12 degrees

For the tan function

tan⁻¹(tanx) = tan⁻¹9.254

x = tan⁻¹9.254

x =  83.83degrees

Hence the value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees

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Answer:

AC = 20.5, CB = 14.5

Step-by-step explanation:

Let X be the distance of AC, and Y be the distance of CB. We can write 2 equations with the given information:

[tex]x=y+6\\x+y=35[/tex]

Now we have a system of equations that we can solve for both variables.

Solve by substitution:

[tex](y+6)+y=35\\2y+6=35\\2y=29\\y=14.5[/tex]

Then the next equation:

[tex]x=14.5+6\\x=20.5[/tex]

x = 20.5, y = 14.5

or

AC = 20.5, CB = 14.5

20.5 is 6 longer than 14.5, and they add up to 35cm, so this is our solution.

Answer: The answer is A.

Step-by-step explanation: (10b + a) = 27 --- 9a - 9b = 27 --- a - b = 3.

Answer:

x = 5 - y/3

Step-by-step explanation:

2: c

Step-by-step explanation:

3: a

by Supplementing each answer Into the equation

Step-by-step explanation:

what don't you understand about this ? did you never solve 2 equations with 2 variables ?

it is really easy. there are 2 main approaches :

1. substitution. you use one of the two equations to express one variable by an expression purely in the other variable. then you use that in the other equation (resulting in one equation with one variable) and solve it. with that result you go back to the other equation and calculate the other variable.

2. equation arithmetic. when the terms of at least one of the variables are similar in both equations, you can multiply (if needed) one or both equations (left and right side !) by a fitting number and then add it subtract one equation from the other, so that you are left with one equation in one variable, which you solve. with that result you go back to any of the original equations and calculate the other variable.

there would be a third option for questions like this :

3. trial and error. simply put the point coordinates as x and y into both equations, and see for what point(s) both remain true.

but in order to show you the methodical approaches, we will use substitution for question 2 and equation arithmetic for question 3.

2)

2x + y = 5

-x + 2y = 5

I use the first equation to transform. and I get

y = 5 - 2x

with that I go into the second equation :

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

-x + 10 - 4x = 5

-5x = -5

x = 1

and with that I get

y = 5 - 2×1 = 5 - 2 = 3

so, C (1, 3) is the right answer.

3)

2x + y = 7

-x + y = 1

let's subtract the second equation from the first :

2x + y = 7

- -x + y = 1

------------------

3x + 0 = 6

3x = 6

x = 2

with that I go into one of the original equations :

-2 + y = 1

y = 3

so, A (2, 3) is the right answer.

Answer: x/9

Step-by-step explanation: quotient means to divide. X is the unknown number and we divide this by 9.

Set x<5 = sagutan mo apapapdifuv

Answer:

x2 - x - a2 - 3a - 2

Step-by-step explanation:

STEP 1

 ((x2) -  x) -  (a + 1) • (a + 2)

STEP 2

Final result :

 x2 - x - a2 - 3a - 2

Answer:

The answer is 14x

Step-by-step explanation:

2×7=14

x×14=14x

Answer: 6

Step-by-step explanation:

Let's look at two points on this line (1, 5), and (0, -1)

Using the slope formula ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex])

[tex]\frac{((5) - (-1))}{(1)-(0)}[/tex]

[tex]\frac{6}{1}[/tex]

Hope it helps :)

Answer:

Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)

From point (0, -1) to point (1, 6) would look like this

(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7

Since you already have you y-intercept (where x is 0), your whole equation would be this:

y = 1/7x - 1

Answer:

C D E

Step-by-step explanation:

15:3=5

25:5=5

40:8=5

Answer:

$575 ,

Step-by-step explanation:

5% of $500 is only $25

multiply that by 3YRS due to annual interest it would amount too

an addition $75 dollars so the answer is $575

Answer:

wsjkolp

Step-by-step explanation:

qwdcdfvhbjnkml,;.

Answer:

29x

29

Step-by-step explanation:

x+26

3x-32

x=26

=29

Answer:

B. 4

Step-by-step explanation:

Answer:

The answer is 1 pack of mushroom

Step-by-step explanation:

Step-by-step explanation:

I have shown all the steps of obtaining the value of X in the picture above therefore the value of x is 22 which means the answer iisD

Answer:

[tex]\frac{f}{2} +9=4[/tex]

Subtract 9 from both sides:

[tex]\frac{f}{2}+9-9=4-9[/tex]

[tex]\frac{f}{2} =-5[/tex]

Multiply both sides by 2:

[tex]2*\frac{f}{2} =-5*2[/tex]

[tex]f=-10[/tex]

Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle , then

8 + 6x = 30 + 4x + 2

8 + 6x = 32 + 4x ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Hope it helps :) and let me know if you want me to explain why

Answer:

A

Step-by-step explanation:

DECYPHERED

Answer:

the equations is y=x+3-1

Step-by-step explanation:

Answer:

x= 3/8 = 0.375 , x= -4/5= -0.8

Step-by-step explanation:

8x-3=0

8x=3

8x/8 = 3/8

x= 3/8 converted to decimal will be =0.375

for 5x+4=0

5x= -4

5x/5 = -4/5

x= -4/5 = converted to decimal will be = -0.8

Answer:

x —4/5 or 3/8

Step-by-step explanation:

hope it helps u

plzz plzz plzz mark as brainliest

Answer:

You would have 4945 dollars in 5 years.

Step-by-step explanation:

First we look for what 3% of 4300 is

After we find it we have 129 dollars

Every year we gain 129 dollars for 5 years

129 · 5 = 645

Now we add :         4300 + 645 = 4945 dollars after 5 years

What do I select? You didn't put anything here.

The 18% off on the regular price of $55.43 is $45.45 so (A) is correct and the 18% off on the regular price of $29.99 is $24.59 so (B) is correct rest is not true.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The 18% off of x ⇒ x - (18/100)x = 0.82x

Therefore, 18% off of $55.43 → 0.82 × 55.43 =  $45.45

18% off of $29.99 → 0.82 × 29.99 = $24.59

18% off of $215.33→ 0.82 ×215.33 =$172.26

18% off of 849.50 → 0.82 ×849.50 = $679.60

18% off of 652.30→ 0.82 ×652.30 =  $534.89

Hence "The 18% off on the regular price of $55.43 is $45.45 and the 18% off on the regular price of $29.99 is $24.59 rest are not true.

For more about the percentage,

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Given question is incomplete,complete question follows ;

An electronics store is having an 18% off sale on everything in the store. To the nearest cent, which of the following could represent regular prices and sale prices of items in the store during the sale? Select all that apply.

Multiple select questions.

A)

regular price: $55.43, sale price: $45.45

B)

regular price: $29.99, sale price: $24.59

C)

regular price: $215.33, sale price: $172.26

D)

regular price: $849.50, sale price: $679.60

E)

regular price: $652.30, sale price: $534.89

Answer:

Integers are  55,  -21/7,  -35/7 ,

Step-by-step explanation:

Integers are whole number and their opposites.  ... -3, -2, -1, 0, 1, 2, 3, ...

                 Integer  

55                  Yes                           Reason

83.61                               No        Not  a whole number

-21/3 = -7       Yes                         Reduces to a whole number

-35/7 = -5       Yes                        Reduces to a whole number

-1/8                                  No         Not a whole number, it is a faction  

Answer:

Step-by-step explanation:

A CHOOSE A

Answer:

A

Step-by-step explanation:

 sorry:c

Answer:

$50.96

Step-by-step explanation:

300(1.04)^4

350.957568.......simplify

350.96.................round to nearest hundredth

350.96-300

50.96

Answer:

Step-by-step explanation:

There are differents sizes of pots because there are different sizes of flowers and plants, some need more space to grow. :)

Answer:

When seedlings are a 3-6 inches tall, transplant to individual pots, with 1 plant per 8 inch pot. Larger pots (15-inch diameter) can have up to 3 plants.

Step-by-step explanation: