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sdas [7]
3 years ago
5

If h(x) = 2x - 1 and g(x) = 3x + 1, what is (h o g)(2)?

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Answer:

Step-by-step explanation:

g(2) = 3(2) + 1 = 6 + 1 = 7

h(7) = 2(7) - 1 = 14 - 1 = 13

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What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6m?
WINSTONCH [101]
Sector area = (central angle / 360) * PI * radius^2
sector area = (210 / 360) * PI * 2.3^2
sector area = (7 / 12) * PI * 5.29
<span><span><span>sector area = 9.6944313302 </span> </span> </span>
<span>sector area = 9.7 square meters (rounded)

Source:
http://www.1728.org/radians.htm

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8 0
3 years ago
The rectangular model is made up of squares. Each square is of equal size.
IrinaK [193]
H 45%
you would add up the number of shaded squares and divide that by the total number of squares
6 0
2 years ago
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4) Solve Ax + By = C, for y
irina1246 [14]

Answer:Ax + By = C

-ax -ax

-------------------

By = -Ax + C

--- ------------

B B

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y = -Ax + C

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B

Step-by-step explanation:

4 0
2 years ago
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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
How can you determine the numbers of miles Ariel swam can you help me plz thanks
OverLord2011 [107]

Answer:

ask him how much miles he did

3 0
2 years ago
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