A birthday cake has a circumference of 14n.
The slices are cut at 30 degree angles.
a) What is the length of the outside of one
piece of birthday cake?
b)What is the area of one piece?

a) The length of the outside of one  piece of birthday cake is 3.64

b) The area of one piece is 12.8

Step-by-step explanation:

The given information are,

The formula for the circumference of the circle is 2πr.

⇒ 2πr = 14π

⇒ 2r = 14

⇒ r = 14/2

⇒ r = 7

The radius of the birthday cake is 7.

To find the length of outside of one piece :

Length of the arc = (central angle / 360) × 2πr

⇒ (30/360) × 14π

⇒ (1/12) × 14π

⇒ (7/6)π

⇒ 1.16 × 3.14

⇒ 3.64

Therefore, the length of the outside of one  piece of birthday cake is 3.64

To find the area of one piece :

Area of the arc = (central angle / 360) × πr²

⇒ (30/360) × π(7)²

⇒ (1/12) × 49π

⇒ (49/12) × (3.14)

⇒ 4.08 × 3.14

⇒ 12.8

Therefore, the area of one piece is 12.8

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

d

gimmee one of those gold crowns!

~coco