What is the simplify the following:<br> SimplifyL: (2xy^3)^2(xy)^3

a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l

yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r = (x/2.π)

Find the area of the circle

a = π(x/2π)^2

a = π(x^2/4π^2)

Cancel π

a = x^2/4π

Find the area of the square:

a = (1-x/4)^2

a = (1-2x+x^2)/16

Total area

A = (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x = -(-6.284)/{2.(7.142)}

x = 6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0

3 years ago

6

Sloan [31]

Triangle ABC is similar to triangle DEC, ∠B ≅ ∠E and 3DE = 2BC

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>

Dilation is the increase or decrease in the size of a figure by a scale factor.

Right triangle ABC is reflected over AC, then dilated by a scale factor of 2/3 to form triangle DEC, hence:

Triangle ABC is similar to triangle DEC, corresponding angles are congruent (∠B ≅ ∠E) and DE = (2/3)BC i.e. 3DE = 2BC

Find out more on transformation at: brainly.com/question/4289712

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7 0

2 years ago

PLEASE HELP ASAP 35 POINTS

podryga [215]

Your answer is A

It cannot be C because the line y > -2 uses the (>) greater than symbol.

When equations have a greater than symbol, they are graphed using a <u>dotted line. </u>

It cannot be D because the line is y ≤ - l x-1 l

with the less than or equal to sign (≤) , you use a <u>solid line</u> to graph

With the<u> greater than</u> symbol for y > -2 , the shaded region must be <em>above </em>this line.

With the <em>less than </em>or equal to sign in y ≤ - l x-1 l , the shaded region must be <em>below </em>the line.

Hope I helped - message me if you have any questions :)

5 0

3 years ago

Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better ch

Vilka [71]

The data are skewed and there is an outlier statement first is correct.

<h3>What is the box and whisker plot?</h3>

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data on the box plot.

Because the dots decrease as the number line grows, the depicted dot plot is skewed right.

The graph's "tail" is pushed toward greater positive numbers. As a result, the mean is pushed towards the graph's tail and is higher than the median.

Thus, the data are skewed and there is an outlier statement first is correct.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

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5 0

2 years ago

Jean listed the steps involved in the life cycle of a gymnosperm. 1 - The pollen gets stuck in a sticky liquid. 2 - Sperm from t

Andrews [41]

Answer:

b

Step-by-step explanation:

8 0

2 years ago

What is the simplify the following: SimplifyL: (2xy^3)^2(xy)^3