Answer:
A. 9 in
Step-by-step explanation:
The diameter of the circle is 18 in. The radius is half the diameter of the circle.
d= 18 in
r= 18/2
= 9 in
There is no overlap in the solutions to the two inequalities.
The solution set is the empty set: { }._____
The solution to the first is x ≥ (8-1)/3, or x ≥ 2 1/3.
The solution to the second is x ≤ 15/10, or x ≤ 1 1/2.
The radical parts of the two expressions above will be as follows;
a]
^3 sqrt 54=(54)^(1/3)
=(2×27)^(1/3)
=(2)^(1/3)×(27)^(1/3)
=(2)^(1/3)×(3³)^(1/3)
=3(2)^(1/3)
or
3(^3√2)
Hence the answer is 3(2)^(1/3)=3(^3√2)
a] ^3sqrt 128=(128)^(1/3)
=(2×64)^(1/3)
=2^(1/3)×64^(1/3)
=2^(1/3)×(4³)^(1/3)
=2^(1/3)×4^(3×1/3)
=2^(1/3)×4
=4(2)^(1/3)
=4(^3√2)
1. Is a right angle
2.is a obtuse.