Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
Answer:
Radius = 504units
Step-by-step explanation:
Angle = 10°
Length of arc = 28π units
L = ∅/360 × 2πr
28π = 10/360 × 2πr
28π = 1/36 × 2πr
2πr = 28π × 36
π cancelled off.......
2r = 28 × 36
r = (28 × 36)/2
r = 28 × 18
r = 504units
34! Find the area of each of the six sides and then add them up:)