Answer:
x = 13.7
Step-by-step explanation:
The angle at the top of the triangle = 90° - 17° = 73°
The left side of the triangle is x ( opposite sides of a rectangle )
Using the cosine ratio in the right triangle
cos73° = =
Multiply both sides by 47
47 × cos73° = x, hence
x ≈ 13.7
13.74
the top right angle is 90 (opposite angles in a quadrilateral add up to 180). use the sine rule. x = 47/sin 90 × sin 17
= 13.74
Answer
Go to www.mathborl.com/middle for step by step.
x=-5
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6825
From the equation, the series is a geometric series, such that
a = 5
r = 4
n = 6
sum of a geometric series is a(r^n - 1)/(r - 1)
therefore,
sum of the series is 5 x (4^6 - 1) / (4 - 1)
= 5 x (4096 - 1) / 3
= 5 x 4095 / 3
= 6825
