Find the area of the regular polygon. Round your answer to the nearest hundredth.

Mathematics

2 answers:

mario62 [17]3 years ago

8 0

The area is 289.22 units squared

Inga [223]3 years ago

7 0

Answer:

area = 289.24 units²

Step-by-step explanation:

divide the polygon into 9 equal triangles

the top angle of a triangle will be 360°/9 = 40°

the sides of a triangles are both 10 units

The base of a triangle is 6.84 units

the height of a triangle is:

cos 20° = height/10

0.9397 = height/10

height = 9.4 units

The area of a triangle = 1/2(6.84)(9.4) = 32.13 units²

the polygon is made from 9 of these triangles, so 9 x 32.13 = 289.24 units²

You might be interested in

Which are the center and radius of the circle with equation (x + 5)2 + (y - 4)2 = 9?

alina1380 [7]

Answer:

Center (-5,4) radius 3

Step-by-step explanation:

The standard equation of a circle is

(x-h)^2+(y-k)^2=r^2

where the center is (h,k) and r is the radius

so h=-5 in this case and k is 4

r^2=9 so r=3

4 0

3 years ago

Please help me asap!<br> The drop down menu contains:<br> Square Units<br> Cubic Units<br> Units

qwelly [4]

Answer:

Just units

Step-by-step explanation:

Looking for perimeter, not area and volume

6 0

3 years ago

at the dog show, there are 4 times as many boxer as spaniels. if there are a total of 30 dogs, how many dogs are spaniel?

Lyrx [107]

Firstly, given this information there could be 25 labradors and poodles and only 4 boxers and 1 spaniel. However, assuming that there are only boxers and spaniels at the dog show the first thing to do is to divide 30 by 5 = 6 so the answer is, There are 6 spaniels.

5 0

3 years ago

Factor: x^{2} -10x-24

just olya [345]

Answer:

the answer to your question is (x+2) * (x-12)