Answer:
Step-by-step explanation:
Area of a sphere is 
let d be the diameter of the moon and D be the diameter of the earth
d = 1/4 D
Area of Earth = 
Area of moon = 

Answer:
9.80 m
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.
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<h3>setup</h3>
The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...
Tan = Opposite/Adjacent
Using the given values, we have ...
tan(24°) = AC/AB = (tree height)/(distance from tree)
tan(24°) = AC/(22 m)
<h3>solution</h3>
Multiplying by 22 m gives ...
tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m
The height of the tree is about 9.80 meters.
3(8-4x) < 5(x-5)
24-12x < 5x-25
-12x-5x < -25 -24
-17x < -49
x > ⁴⁹/₁₇
Angles 1 and 2 are congruent because they are a pair of alternate interior angles.