Answer:
30.16 inch is the diameter of the circle
Step-by-step explanation:
circumference = pie X diameter
94.2= 3.14 X d
d = 94.7/3.14
d = 30.16 in
Answer:
t = 2q²/p
Step-by-step explanation:
subtract 1 from each side to get:
p/q - 1 = q/t
multiply each side by t/q to get:
(tp/q²) - 1 = 1
add 1 to each side to get:
tp/q² = 2
cross-multiply to get:
tp = 2q²
divide each side by p to get:
t = 2q²/p
Answer:
Step-by-step explanation:
prove : 25^9 + 5^7 ≡ 0 ( mod 30) or 5^18 + 5^7 ≡ 0 ( mod 30)
because : 25= 5²
calculate 5^p for 1 ; 2;3 ; 4....
5^1 ≡ 5 ( mod 30)
5^2 ≡ 25 ( mod 30)
5^3 ≡ 5 ( mod 30)
5^4 ≡ 25 ( mod 30)
p = 2k+1 5^p ≡ 5 ( mod 30)
p = 2k 5^p ≡ 25 ( mod 30)
so : 5^18 ≡ 25 ( mod 30) ......(*)
5^7 ≡ 5 ( mod 30)...........(**)
add (*) and (**) :5^18 + 5^7 ≡ 0 ( mod 30) because : 30≡0 (mod30)
Answer:
B
Step-by-step explanation:
the arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
= 2π × 16 × 
= 32π ×
= 
= 8π ft
