Find the measure of each missing angle
1 answer:
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Answer:
45
Step-by-step explanation:
The n th term of a GP is
= a
where a is the first term and r the common ratio
Given a₂ = 6 and a₅ = 48, then
ar = 6 → (1)
a = 48 → (2)
Divide (2) by (1)
=
, that is
r³ = 8 ( take the cube root of both sides )
r = = 2
Substitute r = 2 into (1)
2a = 6 ( divide both sides by 2 )
a = 3
Thus
3, 6, 12, 24 ← are the first 4 terms
3 + 6 + 12 + 24 = 45 ← sum of first 4 terms
Jeremy's height is 67.2 inches
The diagram below represents situation
<h3>Proportion</h3>Proportion says that two ratios (or fractions) are equal. This a mathematical comparison between numbers.
Therefore, let's establish the proportion in this situation
- Malik height / Malik shadow = Jeremy height / Jeremy shadow
Therefore,
- 72 / 60 = x / 56
cross multiply
72 × 56 = 60x
60x = 4032
divide both sides by 60
x = 4032 / 60
x = 67.2
Therefore, Jeremy's height is 67.2 inches
learn more on proportion here: brainly.com/question/26258657
