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3 years ago

You are taking a line dancing class. Which actions will get you back to your original position?

2 answers:

8 0

C.

This can be proven with algebra. Imagine your starting position is 0, then you would have the equation:

0 = 3-3
0 = 0

So, you end up in your original position!

xeze [42]3 years ago

3 0

C. 3 steps forward then steps backward
that seems to be the right answer because just imagine yourself on a white tile floor but the tile you are standing on is red it is the only one that is red if you go 3 tiles back which on a number line is -3, and then go back up towards your red tile another 3 tiles and you look down at your tile and see that it is red. and there you go it landed you back where you where in the beginning

You might be interested in

What is the volume of the composite figure. I said 36 but it is wrong.

scZoUnD [109]

Answer:

108

Step-by-step explanation:

You are correct for stating one tissue box has a volume for 36.

But notice there are 3 tissue boxes, so in order to find the total volume, you should add them up.

36+36+36=108

6 0

3 years ago

Read 2 more answers

Could someone explain and help

vichka [17]

Answer:

80°

Step-by-step explanation:

The sum of the two angles (red and blue) is 145°, so you have ...

(4x +5)° +(6x -10)° = 145°

10x = 150 . . . . . . . . divide by °, add 5, simplify

x = 15 . . . . . . . . . . . divide by 10

Then the measure of the angle of interest is ...

m∠XMN = (6x -10)° = (6·15 -10)° = 80°

8 0

3 years ago

Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 60 inches long and cuts it into

Alex_Xolod [135]

Answer:

a) the length of the wire for the circle = $(\frac{60\pi }{\pi+4}) in$

b)the length of the wire for the square = $(\frac{240}{\pi+4}) in$

c) the smallest possible area = 126.02 in² into two decimal places

Step-by-step explanation:

If one piece of wire for the square is y; and another piece of wire for circle is (60-y).

Then; we can say; let the side of the square be b

so 4(b)=y

b= $\frac{y}{4}$

Area of the square which is L² can now be said to be;

$A_S=(\frac{y}{4})^2 = \frac{y^2}{16}$

On the otherhand; let the radius (r) of the circle be;

2πr = 60-y

$r = \frac{60-y}{2\pi }$

Area of the circle which is πr² can now be;

$A_C= \pi (\frac{60-y}{2\pi } )^2$

$=( \frac{60-y}{4\pi } )^2$

Total Area (A);

A = $A_S+A_C$

= $\frac{y^2}{16} +(\frac{60-y}{4\pi } )^2$

For the smallest possible area; $\frac{dA}{dy}=0$

∴ $\frac{2y}{16}+\frac{2(60-y)(-1)}{4\pi}=0$

If we divide through with (2) and each entity move to the opposite side; we have:

$\frac{y}{18}=\frac{(60-y)}{2\pi}$

By cross multiplying; we have:

2πy = 480 - 8y

collect like terms

(2π + 8) y = 480

which can be reduced to (π + 4)y = 240 by dividing through with 2

$y= \frac{240}{\pi+4}$

∴ since $y= \frac{240}{\pi+4}$ , we can determine for the length of the circle ;

60-y can now be;

= $60-\frac{240}{\pi+4}$

= $\frac{(\pi+4)*60-240}{\pi+40}$

= $\frac{60\pi+240-240}{\pi+4}$

= $(\frac{60\pi}{\pi+4})in$

also, the length of wire for the square (y) ; $y= (\frac{240}{\pi+4})in$

The smallest possible area (A) = $\frac{1}{16} (\frac{240}{\pi+4})^2+(\frac{60\pi}{\pi+y})^2(\frac{1}{4\pi})$

= 126.0223095 in²

≅ 126.02 in² ( to two decimal places)

4 0

3 years ago

2. Each of the bracelets that Veronica made has 45 beeds. Shemede 4 bracelets.

cluponka [151]

She used 180 beads because 45x4 =180

6 0

2 years ago

Read 2 more answers

For a normal distribution what percentage of data falls within one standard deviation of the mean

3241004551 [841]

Answer:

For a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean

Step-by-step explanation:

A normal distribution's graph is a bell shaped curve that is completely described by its mean and standard deviation. Standard deviation is measured in terms of distance from mean.

34% of data is covered in one standard deviation from mean on one side.

Therefore, for a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean ..

8 0

3 years ago