What is the slope of the line that contains these points?
1 answer:
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Answer:
where
Step-by-step explanation:
Recursive means you want to define a sequence in terms of other terms of your sequence.
The common ratio is what term divided by previous term equals.
The common ratio here is -6/2=18/-6=-54/18=-3.
Or in terms of the nth and previous term we could say:
where r is -3
Multiply both sides by the a_(n-1).
where
Answer:
The tower is approximately 57.34 meters long
Step-by-step explanation:
The given parameters are;
The type of triangle formed by ΔABC = Non-right triangle
The measure of ∠ACB = 55°
The horizontal displacement of the tower, BX = 5 m
The length of BC = 45 m
Therefore, we have;
Triangle ΔABC type = Right triangle
By the tangent to an acute angle, θ, in a right triangle, we have;
Where θ is the 55°, we have angle, we have;
BC = BX + XC
∴ XC = BC - BX
XC = 45 m - 5 m = 40 m
XA = 40 × tan(55°) ≈ 57.126
The type of triangle formed by ΔABX = Right triangle
According to Pythagoras theorem, AB² = XA² + BX²
∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34
The length of the tower, AB ≈ 57.34 m
