Answer:
Step-by-step explanation:
Given the circumference of Circle K = π
circumference of Circle L = 4π
Ratio of their circumferences = Ck/Cl
Ratio of their circumferences = π/4π
Ratio of their circumferences = 1/4 = 1:4
For their radii
C = 2πr
for circle k with circumference π
π = 2πrk
1 = 2rk
rk = 1/2
for circle l with circumference 4π
4π = 2πr
4 = 2r
r = 4/2
rl = 2
ratio
rk/rl = 1/2/2
rk/rl = 1/4 = 1:4
for the areas
Area of a circle = πr²
for circle k
Ak = π(1/2)²
Ak = π(1/4)
Ak = π/4
for circle l
Al = π(2)²
Al = 4π
Ratio of their areas
Ak/Al = π/4/(4π)
Ak/Al = π/16π
Ak/Al = 1/16 = 1:16
-3z + 7 = -7 - 10z
Add 10z to both sides
7z + 7 = -7
Subtract 7 from both sides
7z = -14
Divide by 7
Z = -2
Answer:
C. 905 in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
We know that the volume of a sphere is expresses as
V= 4/3πr³
Given that the diameter of the sphere is 12inches
Radius r= 12/2= 6 inches
Substituting our radius we can solve for the volume
V=4/3(3.142*6³)
V= (4*3.142*216)/3
V= 2714.68/3
V= 904.9in³
Approximately V= 905in³
Answer:
we have that
y < −3x + 3
y < x + 2
using a graph tool
see the attached figure
the answer is
the answer isThe point (1, −5) lie in the solution set
