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3 years ago

If you have 24 square pieces of wood, describe all

Mathematics

1 answer:

nika2105 [10]3 years ago

6 0

Answer: 11 (or 10 if the square is not to be counted)

Step-by-step explanation:

Start with 1: If you have 1 piece on the top and 1 piece on the bottom, then there are 24 - 2 = 22 pieces left for the sides, which results in 11 on each side. Continue this with 2 pieces on the top, then 3 pieces on the top, etc. You will eventually see a pattern.

Here are all of the ways you can lay out the pieces of wood to form 4 sides:

1 x 11

2 x 10

3 x 9

4 x 8

5 x 7

6 x 6 --> this is a square. should this be counted as a rectangle?

7 x 5

8 x 4

9 x 3

10 x 2

11 x 1

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Help ASAP!! Using the graphed function above, find the following

Alenkinab [10]

Answer:

Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period = $\pi$ , Frequency $\displaystyle =\frac{1}{\pi}$ , equation : $f(x)=-4cos(2x)+1$

Step-by-step explanation:

Sinusoid Functions

It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.

The graph shown can give us all the information we need to answer these questions:

Maximum: 1

Minimum: -3

The midline goes through the center value (mean) of the max and min values, i.e.

Equation of the midline:

$\displaystyle y=\frac{1-3}{2}=-1$

Amplitude is the difference between the maximum and minimum values

$A=1-(-3)=4$

The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at $x=\pi$

Thus the period is

$T=\pi$

The frequency is the reciprocal of the period:

$\displaystyle f=\frac{1}{T}=\frac{1}{\pi}$

The angular frequency is

$\displaystyle w=2\pi f=\frac{2\pi }{\pi}=2$

The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:

$f(x)=-4cos(2x)+1$

5 0

3 years ago

What is (6^3)^4 simplified

Sophie [7]

Step-by-step explanation:

$( {6}^{3})^{4} = {6}^{3 \times 4} = {6}^{12} \\$