Answer:
226.19
Step-by-step explanation:
area of a cylinder is 2 times pi times radius time height plus 2 times pi times radius squared
radius=6/2=3
height=9
substitute in your values and get 226.19cm squared
(1)
10(1+3x)=-20
Cross multiply.
10+30x=-20
Isolate x on one side. So you would subtract 10 on each side. and one side will cross each other out. leaving you with,
30x=-20-10
Subtract 10 from -20.
30x=-30
Divide each side by 30 to get x.
30x÷30=-30÷30
Therefore,
x=-1
(2)
-5x-8(1+7x)=-8
Cross multiply -8(1+7x)
-5x-8-56x=-8
Isolate all x's on one side. So you would add 8 on each side. and one side will cross each other out. leaving you with,
-5x-56x=-8+8
Add 8 to -8.
-5x-56x=0
Subtract -56x from -5x
-61x=0
Divide each side by -61
-61x÷-61=0÷-61
Therefore,
x=0
Answer:
r=8
Step-by-step explanation:
Given formula:
r = C / 2π
It is given that C = 16π
hence
r = 16π / 2π = 8
Answer:
144°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° × (n - 2) ← n is the number of sides
Here n = 8 ( octagon ), hence
sum = 180° × 6 = 1080°
let the measure of 1 congruent angle be x
Then sum the 8 angles and equate to 1080
100 + 120 + 140 + 5x = 1080
360 + 5x = 1080 ( subtract 360 from both sides )
5x = 720 ( divide both sides by 5 )
x = 144
Thus each of the 5 congruent angles is 144°
A(n,s)=(ns^2)/(4tan(180/n)), n=number of sides, s=side length
A(8,4.6)=(8*4.6^2)/(4tan22.5)
A(8,4.6)=42.32/tan22.5 m (exact)
A(8, 4.6)≈102.17 m^2 (to nearest hundredth of a square meter)