Gretchen is refinishing her gazebo that is in the shape of a regular octagon. The length of one side is 3 feet and the apothem is 3.5 feet. What is the area that Gretchen will be refinishing? Need help fast

Answers

Answer 1

The area that Gretchen will be refinishing is 42 square feet.

What is a polygon?

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments is referred to as its edges or sides.

An octagon has 8 sides.

We know, Apothm is the distance from the center to its side.

We also know that an octagon can be divided into 8 similar triangles.

Therefore, The area of the octagon will be,

= 8×(1/2)×3×3.5 square feet.

= 4×10.5 square feet.

= 42 square feet.

learn more about polygons here :

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Related Questions

HELP please!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Please help me I need to pass this

Answers

Answer:

5

-7

36

Step-by-step explanation:

if the center is (5,-7) the first part must look like

(x-5)²+(y+7)²

to find the raidus plug in 5 for x and -1 for y

(5-5)²+(-1+7)²

0²+6²=36

36

If I made $20 in 4 hours, what is the rate at which I made money?

Answers

Answer:

it would be five each hour.

Step-by-step explanation:

How many solutions does the equation 2x -1 = x + x -1 have ?

Answers

Answer:

Infinite solutions

Step-by-step explanation:

2x -1 = x + x -1

2x=x+x

2x=2x

y=x+5
please help me with this problem I'm really struggling to answer the question.​

Answers

Answer:12

Step-by-step explanation:just know i did it and got it right

PART 1:
In the diagram below, ΔRST is a right triangle, write the equation you would use to solve for side RT. (For example, cos20 = 13/x )

PART 2:
Using the equation you wrote above, solve for side RT and round your answer to the nearest tenth.

Answers

Answer:

[tex](a)\ \sin(46) = \frac{8}{RT}[/tex]

[tex](b)\ RT = 11.1[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a): Equation to determine RT

To do this, we apply sine formula

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(46) = \frac{8}{RT}[/tex]

Solving (b): Solve the equation

[tex]\sin(46) = \frac{8}{RT}[/tex]

Make RT the subject

[tex]RT = \frac{8}{\sin(46)}[/tex]

[tex]RT = \frac{8}{0.7193}[/tex]

[tex]RT = 11.1[/tex]

3. Find the lateral surface area of the figure
below.


No links please I really need an answer

Answers

Answer:

284 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of triangle = bh/2 = 4(8)/2 = 16

Area of both triangles = 32

Area of left face = bh = 8(12) = 96

Area of right face = bh = 9(12) = 108

Area of bottom = bh = 4(12) = 48

Total lateral area = 32 + 96 + 108 + 48 = 284

Suppose that 70% of all Americans agree that a candidate is not trustworthy. A survey finds the 116 out of 200 agree that a candidate is not trustworthy. How likely is the result above to happen, if the sample is representative of the population?

Answers

Answer:

Prob = 0.00009 = 0.009%  , Less Likely

Step-by-step explanation:

Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r)   .

,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3  r = no. of success = 116

Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%

Less probability means Less Likely

What is the slope of the line that passes through the points (9, 5) and (21, 1)?
Write your answer in simplest form.

Answers

Answer:

[tex]\displaystyle m = \frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (9, 5)

Point (21, 1)

Step 2: Solve for slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{1-5}{21-9}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{-4}{12}[/tex][Fraction] Simplify:                                                                                            [tex]\displaystyle m = \frac{-1}{3}[/tex]

help me!!!!!!!!!plzzz​

Answers

Answer:

B. 1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.

if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2

Answers

Answer:

2.5/40=2/y

2.5y=40x2

2.5y=80

y=80/2.5

y=32

What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid

Answers

Answer:

Rhombus

Square

Step-by-step explanation:

Given

Attached quadrilateral

Required

Select the type(s) of quadrilateral

From the attached image, we have:

[tex]DE = FG[/tex] -- Opposite, Parallel and Equal

[tex]EF = GD[/tex] -- Opposite, Parallel and Equal

Also:

[tex]DE = EF =FG = GD[/tex]

Since all 4 sides are equal, then it is neither a parallelogram nor a trapezoid

Hence, the shape is either a rhombus or a square

the sum of 2 numbers is 65 and the difference is 7

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is=>The sum is x + y = 65

The difference is x - y = 7 .....x = 7 + y

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

x + y = 65

x + 29 = 65

X = 36

The Sum: 36 + 29 = 65

The Difference: 36 - 29 = 7

hope this helps,have a great day!!

~Pinky~

Answer:

36 and 29

Step-by-step explanation:

The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:

x - y = 7

Now solve equation B for x to get the revised equation B:

x - y = 7

x = 7 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:

x + y = 65

x + 29 = 65

X = 36

Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:

Sum: 36 + 29 = 65

Difference: 36 - 29 = 7

I NEED HELP it's due today! Giving out BRAINLIEST & 30 POINTS!
~Rules~
a. SHOW WORK/CHECK ANSWER
b. NO FILES/LINKS
c. NO SILLY ANSWER
~Hocus Pocus

Answers

Answer:

see below

Step-by-step explanation:  5 20 21 02

There are 5 areas to calculate

Top  = LW          =  (20)(17)

Bottom  = LW    =  (20)(15)

Back  = LW        =  (20)(8)

2 Triangular Ends  = One square    = LW     =  (8)(15)

Total Surface Area = (20)(17) +  (20)(15) + (20)(8) +  (8)(15)

                  = (20)(17 + 15 + 8) +  (8)(15)

                  = (20)(40) + (8)(15)

                  =  800  +  120

                  =   920 ft²

Lee Ran 100 meteres in 28.45 seconds. Jackie ran 100 meters in 30.29 seconds. How Much Longer did it take jackie than lee to run 100 meters?


Will Mark Brainliest if someone answer’s ,No Link’s

Answers

Answer:

1.84 meters

Step-by-step explanation:

Jackie: 30.29 meters - Lee: 28.45 meters = 1.84 meters

At which value in the domain does f(x) = 0?
2
2
4

Answers

Answer:

4

Step-by-step explanation:

probability of an even number both times

Answers

Answer:

1/4

Step-by-step explanation:

The possible outcomes are :

1,2,3,4,5,6

We can see that there is a 3/6 (or 1/2) chance the outcome is even

Let E= odds of getting an even

we're looking for E∩E

Because each roll is independent of the last we can multiply to find their intersection

.5*.5= .25 or 1/4

If 18 people share a barrel of apples equally,each gets 12 apples.if there had been 6 fewer people,how many apples would each person get ?​

Answers

Answer:

18 apples

Step-by-step explanation:

If 18 people each get 12 apples, then the total number of apples is 18*12=216.

If there were 6 fewer people, there would 18-6=12 people.

To split the total 216 apples between 12 people, so 216/12=18.

Each person would get 18 apples.

3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median

Answers

Answer:

B median

Step-by-step explanation:

The median is the center of any data set

Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent.

Answers

Answer:

4% of the tested population scored higher than Randy on the test

Step-by-step explanation:

P(X>105) = normalcdf(105,1e99,94,6.2) = 0.0380155219 ≈ 0.038 ≈ 3.8% ≈ 4%

Therefore, about 4% of the tested population scored higher than Randy on the test.

9. When the sun makes an angle of o above the horizon, a building casts a shadow 17 feet long

What function models the height of the building?

How high is the building if 0 = 38°

(pic included) pls help me​

Answers

Answer:

A. tan 38° = opposite/adjacent

opposite = (tan 38°)(adjacent)

opposite = (0.31)(17 ft)

opposite = 5.27 ft

B. height is = 5.27 ft

The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet

Model

A mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.

How to find the model?

(A) Give the building and is shadow is 17 feet and make θ.

then the relation is tanθ =y/17

So y = 17 tanθ

(B) If the is angle is 38°

then

tan38° =y/17

0.7813 = y/17

        y = 13.28 feet

Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.

Learn more about the model here- brainly.com/question/24448358

#SPJ2.

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

c = 6.4

Step-by-step explanation:

Can someone answer this please I don’t understand

Answers

Answer:

3x+2x+a=180 degree(being linear pair)

5x+25=180

5x=180-25

x=155/5

x=31

Step-by-step explanation:

PLS HELP WILL ONLY GIVE BRAINLY IF STEPS ARE INCLUDED
(2x-2)(2x-2)(2x-2)

Answers

Answer:

8^3−24^2+24−8

Step-by-step explanation:

If you search the equation up it tells you the answer is 8^3−24^2+24−8 and shows you the steps. (I’m sorry. I just didn’t have the patience to write out all the steps.)

My usual workout consists of running 10 laps around a 400 meter track. If I go to a track that is only 250 meters long, how many laps will I need to run to get the same workout?


100 POINT QUESTION!!!

Answers

Answer:

16 laps

Step-by-step explanation:

400x10=4000

4000÷250=16

9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?​

Answers

Answer:

1.05

Step-by-step explanation:

Answer: $1.05

Step-by-step explanation:

I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.

Hope This Helps!

Please answer it. I will give brainliest if its correct..

Answers

First find the circumference of the circle:

Circumference = 2 x radius x pi

Circumference = 2 x 4 x 3.14 = 25.12 cm

Now arc ML is 100 degrees.

Multiply the circumference by the arc degree/360 ( 360 is a full circle)

25.12 x 100/360 = 6.98 cm

The answer is 6.98 cm


Explain what circumference and area have in common
and how they are different.

Answers

Answer:

They both have pie in the formula

Step-by-step explanation:

Answer:

Circumference is the distance around a circle, or the perimeter. Area is the space inside the circle. Area has square units, circumference does not. They both have π in the formula.

brainlest e answ eeeeee

Answers

Answer:

1/4

Step-by-step explanation:

The fraction can be reduced using 3

3/3 = 1

12/3 = 4

3/12 = 1/4

Answer:

1/4

Step-by-step explanation:

factors of 3: 1, 3

factors of 12: 1, 2, 3, 4, 6, 12

GCF is 3

3 / 3 x 12 / 3 =

1 / 4

Bob and Lashonda want to find the mean weight of cats at their local pet adoption center. So they each randomly select cats at the shelter and measure the weights.

The results are shown below (in pounds). Use the data to answer the questions.


Bob's sample:
15, 8, 20, 9, 12, 19

Lashonda's sample:
8, 6, 10, 11


(a) What is the sample size for Bob's sample?


(b) What is the sample size for Lashonda's sample?

(c) Suppose you had to choose one sample to estimate the mean.

Which sample is more likely to give a good estimate of the mean?

A: Bob's sample


B: Lashonda's sample

Why?


A: It has the smaller mean.


B: It has the larger mean.


C It has the smaller sample size.


D It has the larger sample size.

Answers

Answer:

(a): 6. (b): 4. (c). Bob's sample, as it has a larger sample size.

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