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finlep [7]
3 years ago
8

) the top and bottom margins of a poster are 4 cm and the side margins are each 5 cm. if the area of printed material on the pos

ter is fixed at 390 square centimeters, find the dimensions of the poster with the smallest area.
Mathematics
1 answer:
grin007 [14]3 years ago
8 0
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)

Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm

The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.

_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
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The temperature went from -16°F to 7°F. What was the change in temperature?
worty [1.4K]

Answer:

To find this out, we first need to see the change, is it a positive change or a negative change? Well in this case, as the temperature is increasing, we find that the change is positive. The next step we need to do, id that, how much was the change by, we can find this out by finding the absolute value of the difference of -16°F and 7°F

The absolute value means, the operations answer has to be positive, if not then it will become positive.

|-16°F -7°F|

=> |-23°F|

=> 23°F

If my answer helped, kindly mark me as the brainliest!!

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4 0
3 years ago
Which of the following approximates the ratio of 6 to 198? Select all that apply. 3 out of 10 3 × 10−2 3 out of 1,000 3 × 102 3
Jobisdone [24]

this is approximately 6 to 200

divide both by 2

3 to 100

3 to 10^2

3 out of 100

5 0
3 years ago
PLEASE HURRY I ONLY HAVE 5MIN TO TURN IT IN!!! A new television set was recently purchased for a common Room and a resident Hall
mezya [45]

Answer:

The price of the tv before tax is 410

Step-by-step explanation:

Let x = price of tv before tax

tax = x*  9%

tax = .09x

The total cost is price of tv before tax plus tax

total cost = x + .09x

total cost = 1.09x

446.90 = 1.09x

Divide each side by 1.09

446.90/1.09 = 1.09x/1.09

410 = x

The price of the tv before tax is 410

3 0
3 years ago
Which calculation should be used to calculate s9 for the arithmetic sequence an=3n-1
Ganezh [65]

Answer: Choice A

S9 = (9/2)*(2+26)

===============================================

The formula is

Sn = (n/2)*(a1+an)

where

Sn = sum of the first n terms (nth partial sum)

n = number of terms

a1 = first term

an = nth term

In this case,

n = 9

a1 = 2 (plug in n = 1 into the formula an = 3n-1 and simplify)

an = a9 = 26 (plug n = 9 into the formula an = 3n-1 and simplify)

So,

Sn = (n/2)*(a1+an)

S9 = (9/2)*(2+26)

will help us find the sum of the first 9 terms of this arithmetic sequence

7 0
3 years ago
Read 2 more answers
Math 100 points ill give brainliest as well
Lelechka [254]

Answer:

it is the answer. let me do research and I will get answer

8 0
3 years ago
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