THIS HURTS MY HEAD SO I CANT FOCUS, PLEASE HELP!

The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of printed material on the poste

Degger [83]

Answer:

The total height and width of the poster is approximately 28.93 and 38.57.

Step-by-step explanation:

Consider the provided information.

Let us consider the width and length of the printed part of the poster is x and y respectively.

For better understanding refer the figure 1:

The area of the printed part is 382 cm²

Area = xy = 382

y = 382/x

Now the total height of the poster is y + 6 + 6 = y + 12

Total width of the poster is x + 8 + 8 = x + 16

Thus the total area of the poster is:

A = (x + 16)(y + 12)

Now substitute the value of y in above equation.

$A = (x+16)(\frac{382}{x}+12)$

$A = 382+12x+\frac{6112}{x}+192$

$A = 12x+\frac{6112}{x}+574$

Now differentiate the above equation with respect to x.

$A' = 12-\frac{6112}{x^2}$

Now, substitute A'= 0 and solve for x.

$0 = 12-\frac{6112}{x^2}$

$12=\frac{6112}{x^2}$

$x^2=\frac{6112}{12}$

$x=22.57$ Ignore the negative value of x as width can't be a negative number.

Now find A''

$A'' = \frac{2(6112)}{x^3}$

Here A" is positive for x>0 and x = 22.57 is minimum.

Use the value of x to find all the respective dimensions of the poster.

Substitute the value of x in y = 382/x

y = 382/22.57 = 16.93

The total height of the poster is y + 6 + 6 = y + 12 = 16.93 + 12 = 28.93

Total width of the poster is x + 8 + 8 = x + 16 = 22.57 + 16 = 38.57

Hence, the total height and width of the poster is approximately 28.93 and 38.57.

6 0

3 years ago

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I need help. I don't understand this question.

Sergeu [11.5K]

Answer:

p=25

Step-by-step explanation:

-5[-9=- $\frac{p}{5}$ -4] Get rid of the fraction by multiplying the whole equation by -5.

45=p+20 Then, subtract 20 from both sides.

25=p

4 0

3 years ago

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is a set of numbers a subset of a set of numbers in words ex. A = {one, three} B = {1,2,3,4,5...} A is a subset of B. True or Fa

anyanavicka [17]

Answer:

true

Step-by-step explanation:

it is because 1 and 3 in set A are in sat B

8 0

3 years ago

Please help y - (-10) = 12 <br> y = ______

kotykmax [81]

Subtracting a negative means that you will add the number. Convert the symbols to get the following:

y + 10 = 12

Subtract 10 from both sides.

y = 2

3 0

3 years ago

The demand for a daily newspaper at a newsstand at a busy intersection is known to be normally distributed with a mean of 150 an

AURORKA [14]

Answer:

171 newspapers.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 150, \sigma = 25$