Given: △CGF ,CG=GF=CF=and, KOPS is a square inside this triangle with one side on CF and its two vertices on CG and GF
1 answer:
Answer:
AKPOS/ACGF = 28√3 -48 ≈ 0.497423
Step-by-step explanation:
Let's assume the square is a unit square. Then the height of the triangle is ...
1 +(√3)/2 = h
and half the base of the triangle is ...
h/√3 = (√3)/3 +1/2 = b/2
The area of the triangle is the product of these:
A = (1/2)bh
= (2 +√3)/2 × (3 +2√3)/6
= (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12
So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...
(square area)/(triangle area) = 12/(12+7√3)
(square area)/(triangle area) = 28√3 -48
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Answer:
Option B.
Step-by-step explanation:
The future value formula, for an annuity, is:
An annuity means that a number of payments happen during the period(an year, for example).
P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.
In this question:
Deposits of $765.13, so
Each month, for 3 years. An year has twelve months, so
2% Interest a year. An year has 12 months, so
Find the final amount of the account.
The final amount of the account will be $28,363.46, which is option B.