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
____ [38]
3 years ago
11

Find the area of the polygon

Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Assuming a perpendicular line(apotherm) is extended from the midpoint of the polygon to the midpoint of one of its sides, then we can determine the length of the apotherm by applying Pythagorean theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Let a represent the apotherm

Hypotenuse = 4

Apotherm = a

Opposite = a(apotherm = length of each side/2)

Therefore,

4² = a² + a²

16 = 2a²

a² = 16/2 = 8

a = √8 = 2√2

The formula for determining the area of a polygon is expressed as

Area = a² × n × tan 180/n

Where n represents the number of sides of the polygon.

n = 6

Therefore,

Area = (2√2)² × 6 × tan(180/6)

Area = 48 × tan 30

Area = 27.2

You might be interested in
Round 6.071981 to 3 significant figures
natita [175]

Answer:

6.071

Step-by-step explanation:

All non zero numbers are significant irrespective of where decimal point is

If zero is between to numbers it is significant irrespective of where decimal point is

5 0
3 years ago
How to see warnings on brainly?<br> I got one, but don't know why. it is not in my notifications.
kirill [66]

Answer:

If its not in Notifications i don’t know where it would be.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
HELP I NEED HELP ASAP
eimsori [14]

Answer:

I think its D

Step-by-step explanation:

You can rule out A and B because he would be able to throw it farther than 30 ft do that leaves C and D but davis Couldn't throw a 9.1 lb ball 30 ft so the answer is D

3 0
3 years ago
A triangle has an area of 100 square feet and a height of 5 feet
aleksandrvk [35]
The length would be 40 feet... 100*2=200/5=40
hope this helps!
4 0
3 years ago
Read 2 more answers
An 8-pound bag of tomatoes costs $5.60. At the same rate, what would be the cost of 11 pounds of tomatoes?
Evgesh-ka [11]
Here is the solution to the given problem above.
Given that for an 8 pound bag of tomatoes costs $5.60, we would want to know how much will it be for 11 pounds. First, we should know how much does it cost per pound. So 5.60 divided by 8 is 0.7. So per pound of tomatoes costs $0.7. Now to know how much for 11 pounds, we multiply 0.7 by 11 and we get $7.70. The correct answer therefore would be option C. $7.70. Hope this answer helps.
5 0
3 years ago
Other questions:
  • jonah is planting a rectangular garden the perimeter of the garden is 120 yards and the width is 20 yards what is the length of
    15·1 answer
  • I needddd helppppp. . . . . .
    6·1 answer
  • 1.Two more than the quotient of a number and 6 is equal to 7
    9·1 answer
  • What is the discount if a jacket costing $85.00 is on sale for 20% off?
    8·1 answer
  • Use 3.14 for and round to the nearest tenth. A circle has a radius of 6 inches. What is its area
    9·1 answer
  • What is the angle measure of a each interior angle of a regular decagon
    13·1 answer
  • Which best represents the commutative property of addition?
    12·1 answer
  • A rectangular room has an area of 16m2.the length of the room is 8 m. work out
    10·1 answer
  • What is the radius and diameter of the following circle?
    8·1 answer
  • Can I get some help with these questions?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!