The answer to number four is 90,000.
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-SummerBreaker ;)
Answer:
2100 miles.
Step-by-step explanation:
Given:
Diameter to the moon = 240000 miles
∅ = 0.5 °
The subtended angle by an arc is given as:
S = r∅
Where
r = radius of the circle
Therefore,
D = 240,000 x (0.5 x π rads)/180
= 2094 miles
= 2100 miles.
Note: The third term of the sequence should be
instead of
, otherwise the sequence has no common ratio.
Given:
The given sequence is

To find:
The common ratio of the given sequence.
Solution:
The quotient of each pair of consecutive terms are:

Similarly,


And,


Therefore, the common ratio of the given sequence is
or 0.75.
MCE = 360 - (150 + 70 + 50)
mCE = 360 - 270
mCE = 90
<CDE = 1/2(mBE + mCE)
<CDE = 1/2(150 + 90)
<CDE = 1/2(240)
<CDE = 120
answer
<CDE = 120°