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padilas [110]
3 years ago
15

Find the sum of the infinite series 1/3 1/9 1/27 ...

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0
Attached is the photo where I solved this problem.

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Natasha_Volkova [10]

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Step-by-step explanation:

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2 years ago
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How do you find the area of the shaded region
Amiraneli [1.4K]

well, first off, let's notice that we have a trapezoid with a rectangle inside it, so the rectangle is really "using up" area that the trapezoid already has.

now, if we just get the area of the trapezoid, and then the area of the rectangle alone, and then subtract that area of the rectangle, the rectangle will in effect be making a hole inside the trapezoid's area, and what's leftover, is the shaded section, that part the hole is not touching.

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h&=height\\ a,b&=\stackrel{parallel~sides}{bases} \\\cline{1-2} h&=8\\ a&=16\\ b&=8 \end{cases}\implies A=\cfrac{8(16+8)}{2}\implies A=96 \\\\\\ \stackrel{\textit{area of the rectangle}}{(5\cdot 3)\implies 15}~\hfill \stackrel{~\hfill \textit{shaded area}}{\stackrel{\textit{trapezoid}}{96}~~ - ~~\stackrel{\textit{rectangle}}{15}~~ = ~~81}

3 0
3 years ago
Which choice shows the image of triangle QRS after the reflection over the x-axis followed by a rotation of 180° around the orig
Alex777 [14]

Answer:

A

Step-by-step explanation:

We see that triangle QRS is located in Quadrant III. (See attachment for labelling of quadrants)

Reflecting it over the x-axis means that we flip it over the x-axis, or we flip it vertically. Doing so, QRS will end up in Quadrant II.

Now, we need to rotate QRS 180 degrees about the origin. The quadrants are all 90 degrees away from each other, which means that if we rotate QRS about the origin 180 degrees, we'll end up two quadrants away from Quadrant II: we'll end in Quadrant IV.

Look at each of the answer choices. The only choice that features Q'R'S' (the image of QRS) in the fourth quadrant is the first choice, or A. So that's the answer.

<em>~ an aesthetics lover</em>

3 0
3 years ago
ILL MARK U BRAINLIEST!!
Marina CMI [18]

Answer:

irrigation

Step-by-step explanation:

Irrigation is the process of applying controlled amounts of water to plants at needed intervals. Irrigation helps to grow agricultural crops, maintain landscapes, and revegetate disturbed soils in dry areas and during periods of less than average rainfall.

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3 years ago
The manager of a supermarket records the waiting times of 100 customers.
Arte-miy333 [17]

Answer:

42, 80, 91, 40.5, 256

Step-by-step explanation:

times the f column by the x column

8 0
2 years ago
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