Answer:
(1) a+1/a=8a+2/8a+1
(2) a²-1/a²=(a+1)(a-1))a²
(8a+2)(8a)/(8a+1)²
Rounding to the nearest ten:
28 → 30
188 → 190
250 → 250
101 → 100
122 → 120
Answer:
2log₅(x) - 2log₅(4)
Explanation:
Note the following rules before we begin:
log(a) - log(b) = log(a/b)
2log(a) = log(a²)
Now, for the given, we will work backwards as follows:
log₅(x/4)² = 2 [ log₅(x) - log₅(4)]
= 2log₅(x) - 2log₅(4)
Hope this helps :)
Answers:
- A) Definition of right angles
- B) Substitution
- C) Definition of congruence
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Explanation:
- A) The term "right angle" is another way of saying "90 degree angle". This is a definition. Think of a definition in a dictionary.
- B) The substitution property allows us to replace one thing for another, as long as the two things are equal. The transitive property works as a similar idea.
- C) If two angles have the same measure, then they are congruent. This is the definition of congruence (or one form of it).
Answer:
V = 904.3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
Let pi = 3.14 and the radius is 1/2 of the diameter d= 12 so r =1/2(12) =6
V = 4/3 (3.14) * (6)^3
V = 4/3 * 3.14 * 216
V =904.32
Rounding to the nearest tenth
V = 904.3
