How do you divide this? I don't get it. Like, I know HOW to divide decimals, but this is confusing me.

A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche

Zinaida [17]

Answer:

L = 23 in

h = 46 in

Step-by-step explanation:

Let call " x " and " y " dimensions of the print area of the poster then:

882 = x*y and y = 882/x

We also know that dimensions of the poster is:

L = x + 2 in and h = y + 4 in

Therefore area of the poster is:

A(p) = ( x + 2 ) * ( y + 4 ) And area as function of x is:

A(x) = ( x + 2 ) * ( 882/x + 4 )

A(x) = 882 + 4*x + 1764 /x + 8

Taking derivatives on both sides of the equation we have:

A´(x) = 4 - 1764/x²

A´(x) = 0 ⇒ 4 - 1764/x² = 0 ⇒ 4*x² - 1764 = 0

x² = 1764 / 4

x² = 441

x = 21 in and y = 882/x y = 42

The second derivative A´´(x) is > 0 ( the second term changes its sign to +) there is a minimum for the function at the point x = 21

As x and y are dimensions of the printing area of the poster, dimensions of the poster are

L = x + 2 = 21 + 2 = 23 in and

h = y + 4 = 42 + 4 = 46 in

4 0

3 years ago

A shirt was originally priced at $30. The store is having a 5% off sale. How much will you pay for the shirt after the discount

pishuonlain [190]

Answer:

$28.50

Step-by-step explanation:

multiply 30 by 5 then divide by 100 and subtract the answer by 30

30×5=150

150÷100=1.5

30-1.5=28.50

8 0

3 years ago

Please help!

natulia [17]

Answer: Option D.

Step-by-step explanation:

To solve this exercise you must keep on mind the Angle at the Center Theorem.

According to the Angle at the Center Theorem, an inscribed angle is half of the central angle.

Therefore, given in the inscribed angle m∠BAC=35°, you can calculate the central angle m∠EFD as following:

$BAC=\frac{EFD}{2}$

- Solve for EFD.

$EFD=2*BAC$

- When you substitute values. you obtain:

$EFD=2(35\°)\\EFD=70\°$

7 0

2 years ago

Read 2 more answers

Tell whether the two quantities vary directly. Explain your reasoning. The cafeteria provides three meals per day.

Dafna11 [192]

Answer:

The cafeteria provides three meals per day.

<u>Reason 1</u>

Yes, they vary directly

As number of days increases ,Total number of meals i.e

1st day ⇒ 3

2nd day⇒6

3 rd day⇒9

4th day⇒12

......................

.........................

increases.

Total number of Meals = k×Number of days

But there is another possibility also

<u>Reason 2</u>

1 st day ⇒ 3

2nd day ⇒3

3rd day⇒ 3

.....................

As you can see from the above expression On each day number of meals is

constant.

So we can say that ,

On each Day=Constant amount of meal=3

So, there is no Proportionality between Days and Meal.

3 0

2 years ago

The proper angle for a ladder is about 75 ∘ 75∘ from the ground. suppose you have a 14 foot ladder. how far from the house shoul

jonny [76]

We just use the sinus rule to calculate this

a / sin alpha = b / sin beta

Alpha is the 90 degree angle from the wall to the floor
beta is the angle from the top of the ladder to the wall,
wich is 90 degrees - 75 degrees (triangle has 180 degrees angles, one is 90 degrees), so beta = 15 degrees

14 foot / sin 90 = b / sin 15
sin 90 = 1
we move the sin15 over to the other side

14 foot x sin 15 = b
b = 3.62 foot

5 0

3 years ago

How do you divide this? I don't get it. Like, I know HOW to divide decimals, but this is confusing me.​

How do you divide this? I don't get it. Like, I know HOW to divide decimals, but this is confusing me.