Answer:
Step-by-step explanation:
Givens
C = 12 * pi
C = 2*pi * r
Solution
2*pi * r = 12*pi Divide both sides by 2pi
2*pi * r/ 2*pi = 12*pi/2pi
r = 6
Answer: the diameter = 2 * r
the diameter = 12
Answer:
The explicit rule is:
Step-by-step explanation:
The explicit rule is given by:

The given sequence is 25,21,17,13

d=21-25
d=-4
We plug in the values into the formula to get;



Answer:
-7/4
Step-by-step explanation:
You are looking for the composite g(f(2)). The simplest way to solve this is to evaluate f(2) and enter the solution in to your g function.
g(f(2))=g(-(2)^2-2(2)+4)=g(-4-4+4)=g(-4)
g(-4)=4/(-4(-4)-2)=4/(16-2)=4/14=2/7
Therfor, g(f(2))=2/7 **I'm assuming the -4x-2 is all in the denominator of the g(x) function. If -2 is not in the denominator you would have
g(f(2))=4/(-4(-4)) -2=4/16 -2=1/4 -2=1/4-8/4= -7/4
Answer:
x = 1.5
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin60° =
, then
sin60° =
=
=
( cross- multiply )
2x = 3
( divide both sides by 2 )
x = 1.5
L = lemon drops
J = jelly beans
L +J = 100
L=100-J
1.90L + 1.20J=1.48*100
1.90(100-j) +1.20J =148
190-1.90J+1.20J=148
190-0.7J=148
-0.7J=-42
J = 60
L=100-60 = 40
40 pounds of Lemon Drops are needed