a) The length of the outside of one piece of birthday cake is 3.64
b) The area of one piece is 12.8
<u>Step-by-step explanation:</u>
The given information are,
- A birthday cake has a circumference of 14π.
- The slices are cut at 30 degree angles.
- The birthday cake is in the shape of a circle.
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.
<u>To find the length of outside of one piece :</u>
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
<u>To find the area of one piece :</u>
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:
ahhh tuff one
Step-by-step explanation:
im not sure sorry
Answer:
5, 8, 11, 14, 17,....
f(n) = 5+3n where n is the number of steps after the first two. 7 steps is 20 faces.
Step-by-step explanation:
A sequence is a list of numbers that are related. The first number in the sequence is 5 since the first part of the stairs has 5 faces (5 squares, the dark don't count). Every time you add a "stair" you add 2 blocks - one underneath to support and one as the step. This adds 3 faces. So 5 becomes 8. Repeat and 8 becomes 11. You add 3 faces each time. So the sequence is
5, 8, 11, 14, 17,....
This is a constant pattern of adding 3 each time after the initial start. So we can write a rule. We start with 5 + 3(each stair step). So if the cube is 7 stairs high, that is 5 more repetitions of adding blocks after the start (remember the start has 2 steps already). So 5 + 3(5) = 20. 7 steps high will have 20 faces.
