Step-by-step explanation:
this can be found by determination of the highest and lowest x values
What is x?: 8+9.8x+9=3.8x - 16+3.8x
1 answer:
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Height of the figure is 12 ft.
Solution:
In this image parallel sides and area are given but height is not given.
We have to find the height of the figure.
Given image is a trapezoid.
Parallel sides = 4.2 ft and 9 ft
Area = 79.2 ft²
Area of the trapezoid =
79.2 = 6.6 × h
Divide by 6.6 on both sides, we get
12 = h
Switch the sides of the equation.
h = 12
Height of the figure is 12 ft.
Answer:
The series CONVERGES with the sum being 6.25.
Step-by-step explanation:
Given that the geometric series is 10 - 6 + 3.6 - 2.16 + ....
So the first term of the geometric progression is, = 10
The second term of the geometric progression is = -6 =
× r = 10 × r
where r is the constant ratio.
Therefore r = = -0.6
The third term of the geometric progression, = 3.6 =
× r = -6 × -0.6 = 3.6
The fourth term of the geometric progression, = -2.16 =
× r = 3.6 × -0.6 = -2.16
So the above confirms that the series is indeed a geometric progression with first term, = 10 and constant ratio, r = -0.6
Now to find if the series converges or diverges we can take sum of the series from first term to infinity.
We can already infer that the series is convergent since the constant ratio, r = -0.6 which is less than 1.
So from the formula for the sum to infinity of a geometric progression, S, we get
S =
So the series is convergent with the sum being 6.25