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1 answer:
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Answer:
10.5 in
Step-by-step explanation:
Given
Required
Find length AC
The question is not detailed enough; so, I'll assume that b represents line AC.
Having said that;
We start by multiplying both sides by b
Divide both sides by tan(55)
Find tan(55)
<em>(Approximated)</em>
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Length AC is 10.5
First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2
Final answer:
Recursive rule
a₁ = 2
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2
Final answer:
Recursive rule
a₁ = 2