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
Step-by-step explanation:
answer is attached as image
Answer:
scale factor of the smaller prism to the larger prism is B. 21/23
Step-by-step explanation:
Given
surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?
scale factor is ratio of sides of two similar objects
thus scale factor for given prism will be = side of smaller prism / side of larger prism
in general rule
If shape of solid has scale factor of k
scale factor of area = k²
scale factor of volume = k³
_____________________________
Given in the problem area of two prism is given
we know area = side^2
scale factor of area = k²
k^2 = area of smaller prism / area of larger prism

Thus, correct option is B 21/23.
Answer:
I and IV
Step-by-step explanation:
Since 1-sin(θ)² = cos(θ)², the given equation is equivalent to ...
√(cos(θ)²) = |cos(θ)| = cos(θ)
This will be true where the cosine is non-negative, in the first and fourth quadrants.
Answer:
at least more than 180 degrees
Step-by-step explanation: