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kotegsom [21]
3 years ago
7

Determine the greatest common factor (GCF): 10, 20, 40 Cual es la respuesta correcta

Mathematics
1 answer:
aniked [119]3 years ago
4 0

Answer:

GCF would be 10

Step-by-step explanation:

GCF, aka <em>the greatest common factor</em> is the biggest number that can be multiplied to get that number. for example, in this situation it would be 1- because 10 can be multiplied to get any of those numbers. 1 x 10 = 10 ; 2 x 10 =20 ; 4 x 10 = 40. hope this helped!!

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The top and bottom margins of a poster 66 cm each, and the side margins are 44 cm each. If the area of the printed material on t
jasenka [17]

Answer:

  • width: 24 cm
  • height: 36 cm

Step-by-step explanation:

When margins are involved, the smallest area will be the one that has its dimensions in the same proportion as the margins. If x is the "multiplier", the dimensions of the printed area are ...

  (4x)(6x) = 384 cm^2

  x^2 = 16 cm^2 . . . . . divide by 24

  x = 4 cm

The printed area is 4x by 6x, so is 16 cm by 24 cm. With the margins added, the smallest poster will be ...

  24 cm by 36 cm

_____

<em>Comment on margins</em>

It should be obvious that if both side margins are 4 cm, then the width of the poster is 8 cm more than the printed width. Similarly, the 6 cm top and bottom margins make the height of the poster 12 cm more than the height of the printed area.

_____

<em>Alternate solution</em>

Let w represent the width of the printed area. Then the printed height is 384/w, and the total poster area is ...

  A = (w+8)(384/w +12) = 384 +12w +3072/w +96

Differentiating with respect to w gives ...

  A' = 12 -3072/w^2

Setting this to zero and solving for w gives ...

  w = √(3072/12) = 16 . . . . matches above solution.

__

<em>Generic solution</em>

If we let s and t represent the side and top margins, and we use "a" for the printed area, then the above equation becomes the symbolic equation ...

  A = (w +s)(a/w +t)

  A' = t - sa/w^2

For A' = 0, ...

  w = √(sa/t)

and the height is ...

  a/w = a/√(sa/t) = √(ta/s)

Then the ratio of width to height is ...

  w/(a/w) = w^2/a = (sa/t)/a

  width/height = s/t . . . . . . the premise we started with, above

6 0
3 years ago
Need help pleaseee i have a test on friday
larisa [96]

Answer:

x = 8

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{4}{x} = \frac{1}{2} ( cross- multiply )

x = 8

5 0
3 years ago
Which pair of functions are inverses of each other?
klio [65]

f(x) = 10x -5 and g(x) = (x+5)/10  are inverses of each other , Option D is the correct answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement which relates two variables , a dependent and an independent variable.

The inverse of a function is found by replacing every y by x and vice versa , and then solve for y

The equation

f(x) = 4/x - 3

or

y= 4/x -3

Replacing y by x

x = 4/y -3

x +3 = 4/y

y = 4/(x+3)

Which do not correlate with the given inverse

f(x) = 10x -5

y = 10x -5

for finding inverse

10y -5 = x

10y = x+5

y = (x+5)/10

g(x) = (x+5)/10

Therefore , Option D is the correct answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0
1 year ago
PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST FOR BEST ANSWER
irina1246 [14]
The answer is B.
The shaded area includes points less than the line, and the slope is negative. Also, the Y intercept is positive 5.
3 0
3 years ago
F(x)=3x^2+5
Westkost [7]

Answer:

2 {x}^{2}  + x - 1

7 0
2 years ago
Read 2 more answers
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