1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Strike441 [17]
3 years ago
8

Find the area of this regular polygon. Round to the nearest tenth. 8.65 mm [? ]mm2

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Answer:

Actually it's not polygon. it's a nonagon. With r=8.65mm″, the law of cosines gives us side a:

a=√{b²+c²−2bc×cos40°}

a=√{149.645−149.645cos40°}

Area Nonagon = (9/4)a²cos40°

=9/4[149.645−149.645cos40°]cot20°

=336.70125[1−cos(40°)]cot(20°)

Applying an identity for the cos(40°) does not get us very far…

= 336.70125[1−(cos2(20°)−1)]cot(20°)

= 336.70125[2−cos2(20°)]cot(20°)

= 336.70125[2−(1−sin2(20°))]cot(20°)

= 336.70125[1+sin2(20°)]cos(20°)sin(20°)

= 336.70125[cot(20°)+sin(20°)cos(20°)]mm²

You might be interested in
From his eye, which stands 1.59 meters above the ground, Francisco measures the
viva [34]

The height of the skyscraper to the nearest tenth is 234. 95 meters.

<h3>How to determine the height</h3>

From the information given, we have:

  • angle of elevation = 32°
  • length of the base, adjacent side = 376 meters
  • height of the skyscraper, opposite side = x meters

To determine the height of the elevator, let's use the tangent identity

We have that;

tan θ = opposite/ adjacent

The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper

Now, substitute the values, we have;

tan 32 = x/ 376

cross multiply

x = tan 32 × 376

x = 0. 6249 × 376

x = 234. 95 meters

We know that the 'x' represents the opposite side and thus the height of the skyscraper

Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.

Learn more about angle of elevation here:

brainly.com/question/19594654

#SPJ1

7 0
2 years ago
A car rental company rents cars for x dollars per day plus y dollars for each mile driven. Carlos rented a car for 4 days, drove
topjm [15]

Answer:

x = $20/day, y = $0.35/mile

Step-by-step explanation:

x = $/day, y = $/mile

4x + 160y = 136

1x + 240y = 104

You can solve by elimination or substitution.

4 0
2 years ago
Solve 3(5x-4) &lt; 15x
ollegr [7]

Answer:

All real numbers

Step-by-step explanation:

3(5x - 4) < 15x

~Distribute left side

15x - 12 < 15x

~Subtract 15x to both sides

-12 < 0

Best of Luck!

5 0
3 years ago
Read 2 more answers
Please help with these 3 thank you, you will get brainleiest for the most detailed and/or answering the questions:)
jekas [21]
2.) Given: There are 30 students. 24 are wearing sneakers.

Work: We can figure this out by finding the exact percentage of sneaker-wearers in the class.

To find the percentage, you do 24/30. 24/30 is equal to 80%.


Answer: Joe is wrong. The percentage of students wearing sneakers is 80% and not 70%.


3.) Given: There are 40 people total. 2 women per 3 men.

Work: 2:3 women to men

If we multiply both by 10, we will get 50 people in total.

20:30 = 50

So we need to shrivel this down to 40 by taking out 5 on both sides of the ratio.

50 - 5 - 5 = 15:25 = 40

But the ratio need to be divisible by 2 because of the 2 women that are needed per 3 men. We can do this by moving over one human to the men’s side.

There are 14 women and 26 men. I didn’t use any of the strategies there listed because I don’t even remember what those are. I’m in grade 9. I would say that the ratio table works best because I just used ratios...


4.) Given: Find simplified fraction of silicon. 100%.

Work: Add all things up to find out the denominator for the fraction. They will equal 100.

So the fraction is 28/100.

We can divide this fraction by 4.

7/25

This is the simplified form.


Answer: 7/25


3 0
3 years ago
a rectangular pool in your friend's yard is 150 ft x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or
faust18 [17]

Answer:

a rectangular pool in your friend's yard is 150  x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or an equation to show how you computed the scale drawing lengths.a rectangular pool in your friend's yard is 150 ft x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or an equation to show how you computed the scale drawing lengths.a rectangular pool in your friend's yard is 150 ft x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or an equation to show how you computed the scale drawing lengths.a rectangular pool in your friend's yard is 150 ft x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or an equation to show how you computed the scale drawing lengths.a rectangular pool in your friend's yard is 150 ft x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or an equation to show how you computed the scale drawing lengths.a rectangular pool in your friend's yard is 150 ft x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or an equation to show how you computed the scale drawing lengths.a rectangular pool in your friend's yard is 150 ft x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or an equation to show how you computed the scale drawing lengths.a rectangular pool in your friend's yard is 150 ft x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or an equation to show how you computed the scale drawing lengths.a rectangular pool in your friend's yard is 150 ft x 400 ft. Create a scale drawing with a scale factor of 1/600. Use a table or an equation to show how you computed the scale drawing lengths.

8 0
3 years ago
Other questions:
  • If three is five ,and 5 is 4,and 4is4 ,<br> What is 8
    8·1 answer
  • If A ⊂ B, then which of the following describes the relationship between A and B?
    5·1 answer
  • The Cia estimates the world population is growing at a rate of 1.167% each year.the world population for 2007 was about 6.6 bill
    12·1 answer
  • What is the whole number and remainder from 2895 divided by 229
    12·1 answer
  • Part one out of six thx
    14·1 answer
  • Ricardo has read two thirds of a book and Lynn has read 2/4 of the same book who read more
    11·2 answers
  • Write the contrapositive of the conditional statement. If it is January, then there are 31 days this month.
    14·2 answers
  • How to calulate what percentage a number is of a larger number
    7·1 answer
  • PLEASE HELP!!!
    6·1 answer
  • 4(1-2b)+7b-10
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!