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3 years ago

First, break the irregular polygon into shapes whose (select)

Mathematics

1 answer:

Olegator [25]3 years ago

3 0

The area of a shape is the amount of space it occupies

The complete statement is: First, break the irregular polygon into shapes whose area you can find using familiar formulas. The sum of these areas is the area of the polygon.

<h3>How to determine the area of an irregular polygon</h3>

An irregular polygon contains several familiar shapes.

So, the first thing to do is to break the polygon into smaller shapes

Then calculate the areas of these shapes

Lastly, add the areas of the shapes to get the area of the irregular polygon

Hence, the area of an irregular polygon is the sum of the areas of the shapes that make up the irregular polygon

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Use the Ratio Test to determine whether the series is convergent or divergent. [infinity] n! 112n n = 1 Identify an. Correct: Yo

MakcuM [25]

Answer:

Step-by-step explanation:

Recall that the ratio test is stated as follows:

Given a series of the form $\sum_{n=1}^{\infty} a_n let L=\lim_{n\to \infty}\left|\frac{a_{n+1}}{a_n}\right|$

If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.

Consider the given series $\sum_{n=1}^{\infty} n! \cdot 112n$ . In this case, $a_n =n! \cdot 112n$ , so , consider the limit

$\lim_{n\to\infty} \frac{(n+1)! 112 (n+1)}{n! 112 n} = \lim_{n\to\infty}\frac{(n+1)^2}{n}$

Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test

7 0

3 years ago

Help please summer school sucks!!!

svetlana [45]

Answer:

X =30

Step-by-step explanation:

= 60+90

=150

angle sum property

x+150=180

x=180- 150

x= 30

4 0

3 years ago

Read 2 more answers

After taking a 70 point test, a student guesses that he got 65 points correct. Later he finds out he got 67 points

Nataliya [291]

Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

$Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100$

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

$Percent \; error = \frac {67 - 70 }{ 70} *100$

$Percent \; error = \frac {3}{70} *100$

$Percent \; error = 0.04286 *100$

Percent error = 4.29%

4 0

3 years ago

The point slope equation of a line is

EastWind [94]

Step-by-step explanation:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

3 0

3 years ago

Read 2 more answers

How would you go about finding the area and perimeter of a composite figure?

fgiga [73]

Explanation:

The area is the sum of the areas of the non-overlapping parts. The figure is called "composite" because it is composed of figures whose area formulas you know. Decompose the figure into those, find the area of each, then sum those areas to find the area of the whole.

<u>For example</u>

If the figure consists of a rectangle and semicircle, find the areas of each of those. Then add the areas together to find the total area.

Likewise, the perimeter of a composite figure will be the sum of the "exposed" perimeters of the parts. (Some edges of the figures making up the composition will be internal, so do not count toward the perimeter of the composite figure.)

<u>For example</u>

If the curved edge of the semicircle of the figure described in the example above is part of the perimeter, then its length will be half the circumference of a circle. If the straight edge of the semicircle is "internal" and not a part of the perimeter, its length (the diameter of the semicircle) may need to be partially or wholly subtracted from the perimeter of the rectangle, depending on the actual arrangement of the composite figure. In other words, add up the lengths of the edges that "show."

_____

<em>Additional comments</em>

In the above, we have described how to add the areas of parts of the figure. In some cases, it can be easier to identify a larger figure, or one that is more "complete", then subtract the areas of the parts that aren't there. For example, an L-shaped figure can be decomposed into two rectangles. Or it can be decomposed into a larger rectangle covering the entire outside dimensions, from which a smaller rectangle is subtracted to leave the L-shape. Depending on how dimensions are shown, one computation or the other may be easier.

Likewise, for the purposes of computing the perimeter, lines of the figure may be rearranged in any convenient way, as long as their total length doesn't change. The L-shape just described will have a perimeter exactly equal to the perimeter of the rectangle that encloses its outside dimensions, for example. You can see this if you move the two lines forming the concave edges.

Familiarity with area formulas can help with area. For example, you know that the area of a triangle is the same as that of a rectangle half the height. Likewise, the area of a trapezoid is the area of a rectangle with the same height and a width equal to the midline of the trapezoid.

5 0

3 years ago