Answer:
Exact form: 25/12 decimal: 2.083 mixed form: 2 1/12
Step-by-step explanation:
The common ratio looks like -2 (-11 * -2 =22) and the missing terms are -44 and 352. (22*-2=-44, -176*-2=352).
ANSWER

EXPLANATION
The sum of the first
terms of a geometric sequence is given by;

Where
, is the number of terms and
is the first term.
When
, we have
, we get;





Answer:
its the same as increasing x by 5 percent
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>