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2 years ago

If you have 24 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side

1 answer:

7 0

You have 24 square pieces of wood. You could lay them out in the following fashion. First number is the number of rows. Second number is the number of columns. For example:

1,24 is 1 row by 24 columns. Here goes:

1,24

2,12

3,8

4,6

6,4

8,3

12,2

24,1

i believe that's all.

<span>It winds up being the number of ways you can multiply two integers to get 24. </span>

You might be interested in

Find the range of y=3/2cos4x-1

MrRissso [65]

Answer:

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

Step-by-step explanation:

Smallest value of cos α = - 1,

largest value of cos α = 1.

When cos 4x = - 1, y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5

When cos 4x = 1, y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

5 0

2 years ago

An architect uses a scale of 3 4 inch to represent 1 foot on a blueprint for a building. If the east wall of the building is 24

enot [183]

Answer:

16 in.

Step-by-step explanation:

We have the ratio

How about let's make this easier. Easier is better, right? Let's get rid of the fraction 2/3. We will do that by multiplying 2/3 by 3 and 1 by 3 to get the equivalent ratio of

Now we need to know how many inches there would be if the number of feet is 24:

Cross multiply to get

3x = 48 so

x = 16 in.

7 0

2 years ago

Ron and amie opened an educational savings account for their daughter when she was born making a $5,000 initial investment. They

Arlecino [84]

Interest rate= 0.083%

Step-by-step explanation:

Principal= $5000 Amount= $10000 Time period= 12 years

A=Amount, P= Principal, I= Simple Interest r= Rate of interest t= Time period

$A= P+ I\\10000= 5000+ I\\I=10000-5000=5000\\I=Prt\\5000=5000*r*12\\r=5000/5000*12\\r=5000/60000\\r=0.083$

6 0

2 years ago

The width of a rectangle is the length minus 2 units. The area of the rectangle is 35 units. What is the width, in units, of the

Andrews [41]

Answer: width = 5 units

Step-by-step explanation:

Let L represent the length of the rectangle.

The width of a rectangle is the length minus 2 units. It means that the width of the rectangle is (L - 2) units.

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the rectangle is 35 units. It means that

L(L - 2) = 35

L² - 2L = 35

L² - 2L - 35 = 0

L² + 5L - 7L - 35 = 0

L(L + 5) - 7(L + 5) = 0

L - 7 = 0 or L + 5 = 0

L = 7 or L = - 5

Since the length cannot be negative, then

L = 7 units

Width = 7 - 2 = 5 units

6 0

2 years ago

Upgrading a certain software package requires installation of 68 new files. Files are installed consecutively. The installation

ser-zykov [4K]

Answer:

The probability that the whole package is uppgraded in less then 12 minutes is 0,1271

Step-by-step explanation:

The mean distribution for the length of the installation (in seconds) of the programs will be denoted by X. Using the Central Limit Theorem, we can assume that X is normal (it will be pretty close). The mean of X is 15 and the variance is 15, hence, the standard deviation is √15 = 3.873.

We want to find the probability that the full installation process takes less than 12 minutes = 720 seconds. Then, in average, each program should take less than 720/68 = 10.5882 seconds to install. Hence, we want to find the probability of X being less than 10.5882. For that, we will take W, the standariation of X, given by the following formula

$W = \frac{X-\mu}{\sigma} = \frac{X-15}{3.873}$

We will work with $\phi$ , the cummulative distribution function of the standard Normal variable W. The values of $\phi$ can be found in the attached file.

$P(X < 10.5882) = P(\frac{X-15}{3.873} < \frac{10.5882-15}{3.873}) = P(W < -1,14)$

Since the density function of a standard normal random variable is symmetrical, then $\phi(-1.14) = 1-\phi(1.14) = 1-0.8729 = 0.1271$

Therefore, the probability that the whole package is uppgraded in less then 12 minutes is 0,1271.

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7 0

2 years ago