Find the area of the Regular Octagon below and show all mathematical reasoning.

Find The Area Of The Regular Octagon Below And Show All Mathematical Reasoning.

Answers

Answer 1

9514 1404 393

Answer:

  200√2 square units

Step-by-step explanation:

The area of a regular polygon with n sides and radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

Here, we have n=8 and r=10, so the area is ...

  A = (8/2)(10²)sin(360°/8) = 4·100·√2/2

  A = 200√2 . . . square units


Related Questions

What solution to the system? Write the x-value and the y-value
10x+7y=1
-5x-7y=24

Answers

Answer:

y = - 7 and x = 5

Step-by-step explanation:

10x + 7y - 5x - 7y = 1 + 24

5x = 25

5x ÷ 5 = 25 ÷ 5

x = 5

- 5(5) - 7y = 24

- 25 - 7y = 24

- 25 + 25 - 7y = 24 + 25

- 7y = 49

- 7y ÷ - 7 = 49 ÷ - 7

y = - 7

Please help, do not give links for an aswer.

Answers

1/2 = sin (5pi/6)
0 = cos (3pi/2)
radical3/2 = cos (11pi/6)
radical2/2 = sin (3pi/4)

The price of Stock A at 9 A.M. was ​$14.83. Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$15.33. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the same?

Answers

Answer:

0.5 hours

Step-by-step explanation:

Let the x be the number of hours after noon.

We have the following equation:

14.83 + 0.12(x + 3) = 15.33 - 0.15x 14.83 + 0.12x + 0.36 = 15.33 - 0.15x0.12x + 0.15x = 15.33 - 15.190.27x = 0.14x = 0.14/0.27x ≈ 0.5

Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?

Answers

Answer:

14.14

Step-by-step explanation:

please find attached a diagram showing the stick and the jar

the length of the longest stick can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 10²

100 + 100 = 200

determine the square root of 200

= 14.14

Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?

Answers

Answer:

$180

Step-by-step explanation:

He earns $9 per hour

we should find how much does he earn for 20 hours

20 × 9

= 180

Hope it is helpful....

Please I need help!!!!

Answers

Answer:

1st

Vertex

we have

f(x)=x²-18x+88

let

y=x²-18x+88

comparing above equation with ax²+bx+c

we get

a=1

b=-18

c=88

now

vertex(x,y)=(-b/2a,f(-b/2a))

x=(18/2×1)=9

y=f(9)=9²-18×9+88=7

SO

VERTEX(X,Y)=(9,7)

=

#1

y=x²-18x+88

x coordinate of vertex

-b/2a18/29

y coordinate

y=9²-18(9)+88y=81+88-162y=7

Option C.

#2

y=x²-9x-36

y intercept

y=0-36=-36

(0,-36)

x inetercepts

x²-9x-36=0x²-12x+3x-36=0(x-12)(x+3)=0x=12,-3

(12,0)U(-3,0)

#3

y=-x²+3x+12

Find dy/dx

-2x+3

f'(x)=0<=>x=3/2

For increasing

-2x+3>0x<3/2

For decreasing

x>3/2

F(x) is increasing on (-oo,3/2)

F(x) is decreasing on (3/2,oo)

D

Which of the following choices are equivalent to the expression below? Check
all that apply. X^3/5

Answers

Answer:

[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]

Step-by-step explanation:

Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].

Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].

pleas help due to night​​

Answers

Answer:

the answer is 33.4 because 33.4 x 2 is 66.8 and you add 1.2 + 1.2 that is 2.4. you add both and you get 69.2. Th answer is 33.4

Step-by-step explanation:

33.4 x 2 (1.2 x 2) + 69.2

brainliest pls.

Answer:

a = 33.4

Step-by-step explanation:

The short sides are both 1.2. You have to take them into account.

P = 2L + 2W

L is arbitrarily chosen to be the long side. The short side is W.

Givens

P = 69.2

L = a

W = 1.2

Solution

69.2 = 2 * 1.2 + 2a

69.2 = 2.4 + 2a

69.2 - 2.4 = 2a

66.8 = 2a                    

66.8/2 = a

a = 33.4

What is the sum of ( 3 . 4 × 10 8 ) + ( 7 . 5 × 10 8 ) ?
A.
1
.
09
×
10
9
B.
1
.
09
×
10
8
C.
1
.
09
×
10
17
D.
1
.
09
×
10
16

Answers

What is the value of 3x plus 5y when x equal 12 and y equal 4

Line t is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line t is 3x-y=4. Determine and state an equation for line m.

Answers

9514 1404 393

Answer:

  line m: 3x -y = 8

Step-by-step explanation:

The dilation scale factor affects only the constant in a linear equation. The scaled lines are parallel to each other, so the slope, or ratio of coefficients, does not change.

3x -y = 4 scaled by a factor of 2 becomes 3x -y = 8.

A rectangle has a perimeter of 6 feet.
Choose all the possible dimensions of the rectangle.
A. 1 foot by 2 feet
B. 1 foot by 5 feet
C. 2 feet by 1 foot
D. 2 feet by 4 foot
E. 3 feet by 3 feet
F. 4 feet by 2 feet
G. 5 feet by 1 foot

Answers

A and C

Explanation:
Those are the only one that equal to the perimeter 6 feet once you follow this formula:
2 (length + width)

Have a nice day

Option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.

What is a rectangle?

"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".

For the above situation,

The length of the rectangle be 'l'

The breadth of the rectangle be 'b'

Perimeter of the rectangle, P = 2(l+b)

Option A : 1 foot by 2 feet

Here, l = 1 feet and b = 2 feet

⇒ [tex]P=2(l+b)[/tex]

⇒ [tex]P=2(1+2)\\[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.

Option B : 1 foot by 5 feet

Here, l = 1 and b = 5 feet

⇒ [tex]P=2(1+5)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.

Option C :  2 feet by 1 foot

Here, l = 2 and b = 1 feet

[tex]P=2(2+1)[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.

Option D : 2 feet by 4 foot

Here, l = 2 and b = 4 feet

[tex]P=2(2+4)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.

Option E :  3 feet by 3 feet

Here, l = 3 and b = 3 feet

⇒ [tex]P=2(3+3)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.

Option F : 4 feet by 2 feet

Here, l = 4 and b = 2 feet

⇒ [tex]P=2(4+2)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.

Option G : 5 feet by 1 foot

Here, l = 5 and b = 1 feet

⇒ [tex]P=2(5+1)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.

Hence we can conclude that option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.

Learn more about the rectangle here

https://brainly.com/question/4074407

#SPJ2

Trapezoid TRAP is shown on the grid below.
What is the length of the midsegment MN?
6

9

12

18

Answers

Answer:

18

Step-by-step explanation:

What percentage (nearest whole percent) is budgeted for entertainment if $200 is allotted from a total budget of $1260 ?

Answers

200/1260= .15873
Answer:16%

ANSWER FOR BRAINLIEST

Answers

Answer:A

Step-by-step explanation: A is 8d+d, and since d=1, 8d,+1d is equal to 9d

A because I had the same Question on my test

X + 40
Х
Solve for x and find the measure of each angle using the space below.

Answers

Answer:

X = 70

Step-by-step explanation:

180 - 40 = 140

140/2 = 70

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

NEED HELP!! NO LINKS PLS
Write a quadratic equation in standard form that has the following solutions: x = 4/3 x = - 2/5

Answers

Answer:

[tex](3x-4)(5x+2)[/tex]

Step-by-step explanation:

2x + 9/3x + 16
X =
= [?]

Answers

x = 67. my answer is not correct, try using mat.w?ay for an accurate answer or snap.

i need help. i don’t understand

Answers

Answer:

26.4 (srr if incorrect)

Step-by-step explanation:

Times them all to get your answer

What is 5/6 in simplest form

Answers

Answer:

5/6 in simpleest form is 5/6

It is already the lowest it can go

Answer:

Step-by-step explanation:

5/ 6  is already in the simplest form. It can be written as 0.833333 in decimal form (rounded to 6 decimal places).

 

Find the GCD (or HCF) of numerator and denominator

GCD of 5 and 6 is 1

Divide both the numerator and denominator by the GCD

5 ÷ 1

6 ÷ 1

Reduced fraction:  

5/ 6

Therefore, 5/6 simplified to lowest terms is 5/6.

Can someone help me ?? I’ll give Brainliest

Answers

Answer: All I'm seeing is a blank screen I'm sorry can you try it again?

Answer:

nice black screen i like it

A number is divided into two parts, such that one part is 10 more than the other. If the two parts are in the ratio 5:3 find the number and the two parts.

Answers

Answer:

See below

Step-by-step explanation:

Given the above information, we can make the first part to be;

First part = y + 10

Then,

Second part = y

y + 10 : y = 5 : 3

(y + 10) / y = (5) / (3)

Cross multiply,

3y + 30 = 5y

Collect like terms

5y - 3y = 30

2y = 30

y = 15

Therefore, substituting the value of y,

First part = y + 10

First part = 15 + 10

First part = 25

Second part = y

Second part = 15

Number = First part + Second part

Number = 25 + 15

Number = 40

Which equation can be solved to find the value of y in this diagram?

Answers

Answer:

180-116-30=y

Step-by-step explanation:

Answer:

Step-by-step explanation:

180-116-30=y

What is 0.5% of 1,000 pounds

Answers

Answer:

995 pounds took the test got it right

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

% (percent) means 100

0.5% of (1000 pounds)

= 0.5% × (1000 pounds)

= 0.5 ÷ 100 (1000 pounds)

=  5 pounds

find the distance between the points (-2,2) and (0,4)

Answers

Answer:

(2,2)

Step-by-step explanation:

Difference between -2 and 0 is 2 and difference between 4 and 2 is 2

Answer:

difference in y is 6 difference in x is 2

Step-by-step explanation:

On a coordinate plane, point A is located at (7, 4), and point B is located at (-8, 4). What is the distance between the two points? *
-1
3
15
56

Answers

Answer:

Solution given;

A(x1,y1)=(7,4)

B(x2,y2)=(-8,4)

distance AB=?

we have

d=[tex]\sqrt{(x2-x1) ²+(y2-y1) ²}[/tex]

AB=[tex] \sqrt{(-8-7)²+(4-4)²}[/tex]

AB=15 units

the distance between the two points is 15 units.

When multiplying fractions, you multiply straight across? Yes or No ?

Answers

Answer:

YES!

Step-by-step explanation:

You do multiply straight across for ex: 3/4 x 4/3= 12/12=1

For addition you don't but for multiplication you do!

The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476? Please I need an answer ASAP

Answers

Answer:

adults = 52

children = 108

Step-by-step explanation:

two equations can be derived from the question

x + y = 160 equation 1

2x + 5y = 476   equation 2

x = number of children

y = number of adults

multiply equation 1 by 2

2x + 2y = 320  equation 3

subtract equation 1 from 2

3y = 156

y =52

substitute for y in equation 1

x + 52 = 108

x = 160 - 52 = 108

What is the volume of this triangular prism?

Answers

Answer:

Given:

perpendicular [p]=9cm

base[b]=15cm

length[l]=4cm

we have

the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l

=½×9×15×4=270cm³

270cm³ is a required volume.

Answer:

[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]

Step-by-step explanation:

we are given a triangular prism

we want to figure out the Volume of the given Prism

remember that,

[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]

since the base is triangle the formula of base area should be the formula of the area of a triangle

thus,

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]

substitute

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]

remove parentheses:

[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]

reduce fraction:

[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]

simplify multiplication:

[tex]\displaystyle V _{ \text{prism}} = 270[/tex]

hence, the Volume of the given prism is 270cm³

pls help im rlly confused

Answers

Answer:

the y intercept is (0,29)

Please Help Me!!! You had a bag of fruit snacks that you shared with 3 friends. Each of you got no more than 6 fruit snacks. The inequality x÷4≤6 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag. There were no more than____fruit snacks in the bag.

Answers

Answer: x<=24

Step-by-step explanation:

Data: x/4<=6 and to find the answer, we have to find(Isolate) x

x/4(4)<=6(4) which is x<=24

Since we have found x, we have our answer which is x<=24

I hope this helps!

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