Find the area of each regular polygon below. Round values to the nearest 0.01. Show work for all steps clearly.
Answers
The area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively.
Data;
apothem = 15Area of a HexagonThe area of a hexagon with apothem 15 can be calculated by first finding the length of the side of the hexagon.
Length of hexagon can be found using trigonometric ratio;
[tex]a = x\sqrt{3}[/tex]
Making x the subject of formula
[tex]x = \frac{a}{\sqrt{3} }\\x = \frac{15}{\sqrt{3} }\\x = 8.660[/tex]
And then the length of the side is 2x
[tex]s = 2 * 8660 = 17.32[/tex]
The perimeter of the hexagon is;
[tex]p = 6s \\p = 6 * 17.32=103.92[/tex]
And the area is given as
[tex]A = \frac{1}{2} * perimeter * apothem\\A = \frac{1}{2} * 103.92 * 15\\A = 779.4unit^2[/tex]
The area of the hexagon is 779.4 squared unit.
Area of the pentagonThe area of the pentagon can be found using several methods, but we can simply find the angle between the sides if we divide the pentagon into 10 pieces and then substitute the formula.
Total area of a pentagon is 360 degree.
[tex]\theta = \frac{360}{10} = 36^0\\[/tex]
The area of a pentagon is given as
[tex]A = \frac{5s^2}{4 tan \theta} \\A = \frac{5 * 7^2}{4* tan36} \\A = 84.303cm^2[/tex]
The area of the pentagon is 84.303cm^2
From the calculations above, the area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively
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Related Questions
A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 6 inches and a height of 4 inches. How much wax will the company need to make 140 candles?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.
Answers
Answer:
The company will need 3,360 inches of wax
Step-by-step explanation:
To find how much wax you need per one candle you would do 6in.X4in. which gives you 24in. of wax. Then to find the amount of was for 140 candles you would do 140X24in. to get 3,360 inches of wax.
(5.1)*x=(0.51)*y=1000,find the value of 1/x-1/y
Answers
Answer: 0.00459
Step-by-step explanation:
A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78 please select the best answer from the choices provided a b c d
Answers
The consumer will pay $31.91 as an interest.
Initial balance = $2,530.16
Daily interest rate = 0.042%
What is simple interest?Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments
So, balance at the end of the first day = 2530*(1.00042)¹
balance at the end of the second day = 2530*(1.00042)²
Similarly, balance at the end of the 30th day = 2530*(1.00042)³⁰
Balance at the end of the 30th day = $2562.07291
So, interest levied = $2562.07291 - $2,530.16
Interest levied = $31.91
Therefore, the consumer will pay $31.91 as an interest.
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Alg I Sem 2 Final Comp South Panola MS 2021-2022
Hines, Tre'Darious
10 of 65
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Use the information given to answer the question.
A producer tracks the number of viewers per week for two television shows. The table shows functions
f(w) and g(w) representing the approximate number of viewers, in millions, w weeks after the tracking
begins.
Television Show 1
Television Show 2
f(x) = 14.7(0.94)
g(w) = 15.2(1.03)
Part A
For Television Show 1, which statement is true?
Answers
The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let f and g representing the approximate number of viewers, in millions, x weeks after the tracking begins.
The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
Mariko has a bedroom wall that is shaped like a trapezoid with a height of 8 ft, a top base of 10 ft, and a bottom base of 13 ft. in the middle of this wall is a circular window whose radius is 2 ft. what is the area of the wall without the window? use 3.14 for pi. enter your answer as a decimal in the box. ft²
Answers
Answer:
79.44 ft²
Step-by-step explanation:
Area (wall)
Area (trapezoid) - Area (circle)1/2 x (10 + 13) x 8 - 3.14 x 2²4 x 23 - 12.5692 - 12.5679.44 ft²simplify (2^3)^-2
urgent need for answers
Answers
Answer:
0.015625Step-by-step explanation:
I would REALLY try to explain, but I can't find any explanation.
If this is my best, give other person brainliest.
Answer:
Exact form would be 1/64
Decimal form would be 0.015625
Step-by-step explanation:
Eight less than four times a number is less than 56. What are the possible values of that number?
Answers
Answer:
Let the number be x
when it is 8less than 4times the x the inequality equation we get is:
4x-8<56 (since it says it's less than 56)
4x<56+8
4x<64
x<64÷4
x<16
the possible values are all numbers less than 16
How fast is a car traveling if it travels 90 miles in 2 hours? At that rate, how far will it travel in 3 hours?
Answers
Answer:
135 miles in 3 hours, or 45 miles an hour
Step-by-step explanation:
well, if it travels 90 miles in 2 hours, than how many does it do in one?
90m/2h=45 miles in ONE hour.
Given that info, we can solve for 3 hours.
If ONE hour is 45, then THREE hours is just 45*3=135
135 miles in 3 hours, or 45 miles an hour
Answer:
90 miles in 2 hours
45 miles per hour
135 miles in 3 hours
Step-by-step explanation:
Bro come on simple maths
Now that you know how to identify and utilize these formats, consider the following scenario: You have been contacted by a client whose wedding you have photographed. They want to create an online photo album where they will share their photos with their friends and family. They ask you to send them the photo files so that they can do this. In which type of format would you save the photographs, and which other considerations would be necessary to take?
Write an answer in three to five sentences that explains how you would fulfill this client request and the format you would choose to fill that request. Feel free to provide links to images that support your idea.
Answers
For the request of the client who wants his wedding photos to create an online album for his family and friends, the most suitable format would be JPG.
What is the format of a file?When we work with digital files in technological devices we can find different formats for our files, these formats include images, videos, audio, texts, among others.
Formats exist to differentiate files and specify which programs can open and modify these files. In the case of images, files are generally created in JPG, PNG or other formats.
Therefore, the most appropriate file to send these photos to the client would be JPG because they are not so heavy and have a good definition. In addition, what we must do is create a folder on a cloud storage page and share it with the client so that they have unlimited access to the photos.
Learn more about formats in: https://brainly.com/question/11523374
Betty's bedroom is 18ft
long and 25 ft wide. She
wants to install the
hardwood flooring. The
cost is $6.00 per square
foot. How much is the
total cost for room
flooring?
Answers
Answer:
You'll need to find the area first.
18ft x 25ft= 450ft
Area is 450ft.
Area divided by $6.00 = 75
The total cost is $75 dollar for the whole room flooring.
Two triangles are similar. The sides of the first triangle are 8, 9, and 12. The smallest side
of the second triangle is 10. Find the other two side lengths.
Answers
Answer:
10,11.25,15
Step-by-step explanation:
we use linear scale factor you had mentioned that the triangles are similar so the smallest side in the first triangle is 8 and in tje other triangle it is 10
those two sides are equal which means 8 is equal to ten so if 8 is equal to 10 what about 9.if you cross multiply you get 11.25 then you do the same for 12 and get 15
8=10
9=11.25
12=15
Raquel has 4 brownies. She wants to give an equal share to each of her friends. How would Raquel share these brownies equally among herself and 5 friends? What is the estimate equation????????
please tell me the estimatie and eqaution asap!!!!
Answers
Answer:
4/5
Step-by-step explanation:
divide brownies by friends
I AM GIVING AWAY BRAINLIEST AND POINTS TO WHOEVER ANSWERED! PLEASE HELP!
The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.
Answers
Draw a rhombus with the diagonals.
4 right triangles are formed.
The intersection of the diagonals of a rhombus form 90 degree (right) angles (property of a rhombus).
The diagonals of a rhombus bisect each other. This means that they cut each other in half.
So, each of the right triangles have one side = 1, one side = 2.5 and the hypotenuse = unknown (sides of the
rhombus).
Triangle 1. ABC
side a = 2.5, side b = 1
tan A = a/b = 2.5/1 = 2.5
tan A = 2.5
tan 68.2 deg = 2.5
Since, angle C = 90 and angle A = 68.2
angle B = 21.8 deg. (180 - (90 + 68.2))
Since the diagonals bisect angles in each corner of a rhombus (property of a rhombus), therefore, one corner angle is 68.2 + 68.2 = 136.4 deg. and the same side other corner angle is 21.8 + 21.8 = 43.6 deg.
Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.
Therefore, the opposite corners are
180 - 136.4 = 43.6 and
180 - 43.6 = 136.4.
So, the four angles are,
136.4, 43.6, 136.4, and 43.6----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you"
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Have a great day!
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Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answers
Answer:
After 3 years, Dakota will have $674.09 total.
HELP PLS I'LL GIVE BRAINLEIST
Answers
Area of the triangle
1/2BH1/2(10+50)(20)10(60)600ft²Area of rectangle:-
50(20)1000ft²Area of semicircle
π(20/2)²/2π(10²)/2100πft²/2314ft²/2157ft²Total:-
157+1000+600=1757ft²Answer:
1757 ft²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Add the area of the rectangle, the area of the triangle, and the area of the semicircle.
Area of the rectangle:
= 20 x 50
= 1000 ft²
Area of the triangle:
= 1/2 x (10 + 50) x 20
= 1/2 x 60 x 20
= 30 x 20
= 600 ft²
Area of the semicircle:
= 1/2 π(20 ÷ 2)²
= 1/2 · 3.14 · 10²
= 1/2 · 3.14 · 100
= 157 ft²
Shaded area:
= area of rectangle + area of triangle + area of semicircle
= 1000 + 600 + 157
= 1757 ft²
A boat travels 345km in 24 hrs. How long will it take to complete 300 km
Answers
Answer:
20.87 hours
Step-by-step explanation:
Speed = distance/ time
We need to find the speed of the boat which is ...
s = 345/24
s = 14.374km/hour
so to find how long it takes to travel 300 km we....
time = distance/speed
t = 300/14.375
=20.869
= 20.87
y=3(x+2)^2+4 solve please and thank you!
Answers
Answer:
Step-by-step explanation:
Subtract 4 from both sides
y - 4 = 3(x+2)^2
Divide 3 from both sides
(y-4)/3 = (x+2)^2
Square root both sides
SQRT((y-4)/3) = x + 2
Subtract 2 from both sides
x = SQRT((y-4)/3) - 2
Hope this helps
10)Find the mean of the following data?
0 1 2 3 4 5 6 7
Answers
Answer:
3.5
Step-by-step explanation:
The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores
please help with these 4 questions
Answers
We use the BODMAS method to solve the given questions.
Solve the Bracket then Divide Multiply Add and Subtract
1. 32÷4×(16×1/2) - 2
= 32÷4 × ( 8 ) - 2
= 8 × 8 - 2 = 64 - 2 = 62
2. 20 ÷ (5×2/5) + 3
= 20 ÷ (2) + 3 = 20 ÷ 2 + 3
= 10 + 3 = 13
3. 1/2 ×(6×4) ÷ 3 + 2
= 1/2 × 24 ÷ 3 + 2
= 1/2 × 8 + 2
= 4 + 2 = 6
4. 2 (6÷2+8) - 4
= 2 (3+8) - 4
= 2 × 11 - 4
= 22 - 4
= 18
One sixth of the cars that Valerie saw on her vacation were red, and one seventh of them were blue. What part of the cars that she saw was either red or blue?
Answers
Answer:
13/42.
Step-by-step explanation:
That would be the sum of the 2 fractions:
1/6 + 1/7
= 7/42 + 6/42
= 13/42.
Which Line has The Greater Slope
1
2
3
4
Answers
Help!! It’s urgent I need help
Answers
7cm²+5cm²=10cm²
14cm+25cm=100cm
39=100
answer this correctly for brainiest
12x−3<−138
Answers
Answer:
x<-11.25
Step-by-step explanation:
you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.
Answer:
x < -45/4 or it can be written as ( -infinity, -45/4 )
Step-by-step explanation:
12x - 3 < -138
12x < -135
x < -45/4
or x < -11.25
If the poh of vinegar is 9.45, what is its [oh− ]? round to the nearest hundredth. × 10n m n =
Answers
The [OH] of vinegar to the nearest hundredth is 2.82 * 10^-5
How to calculate the [OH] of a substance:The sum of the pH and pOH of a substance is 14. Mathematically
[OH−] = Antilog (pOH)
Given the following parameters
[OH−] = Antilog (9.45)
Substitute
[OH−] = 2.82 * 10^-5
Hence the [OH] of vinegar to the nearest hundredth is 2.82 * 10^-5
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Answer:
The person above me is incorrect
1st blank is 3.55
2nd blank is -10
Step-by-step explanation:
Look at the image (bottom left corner)
What is x? What is written in pencil is what my teacher gave me.
Answers
The relationship between the 3 sides in a right triangle
Answers
Answer:
In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.
Step-by-step explanation:
…
Can someone help me with B and D, i’ll give branliest! :)
Answers
A = final amount
P= initial principal balance
r = annual interest rate
‡ = time (in years)
A=400(1(0.03)0)
A=400(1(0.03)5)
A=400(1(0.03)10)
A=400(1(0.03)15)
A=400(1(0.03)20)
0=400
5=460
10=520
15=580
20=640
Alaska, Hawaii and Washington have active volcanoes. Alaska has 43, Hawaii has 5 and Washington has v. If they have 52 active volcanoes in all, how many volcanoes does Washington have?
Answers
Answer:
five
Step-by-step explanation:
NEED HELP ASAP GEOMETRY
Answers
Answer:
BBCADD that is the awnser
Step-by-step explanation:
or a triangle XD
HELP MEEEE PLEASEEE, SOMEONE...
Answers
Answer:
1/7 chance of happening
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