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Your octagon has a central angle of 360 deg. Since you're speaking of an octagon, which implies that the octagon is made up of eight triangles, divide 360 deg by 8 to obtain the measure of each minor arc formed.
Answer:
A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)
B) tan(45°) = x/35.6
C) x = 35.6 ft
Step-by-step explanation:
B) From definition:
tan(45°) = opposite/adjacent
opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:
tan(45°) = x/35.6
C) tan(45°) = 1
Then:
1 = x/35.6
35.6 ft = x
To find the amount in the account you need to find the monthly interest and times it by the number of months since the benefactor opened the account.
Monthly interest:
to find 6% you must use the proportions:
$20,000/100% = X/6%
then cross multiply,
X= (20,000 x 6)/100 = 1200
this number is your monthly interest.
Months
Now we have to find the months in 19 years:
12 x 19 = 228
times 12 because we know that a year has 12 months and we have 19 years so we must multiply those two.
Total amount:
$1200 (monthly interest rate) x 228 (months) = $273, 600