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ladessa [460]
3 years ago
9

15 is 25 % of what number?

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

60

Step-by-step explanation:

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The circumference of the inner circle is 66 ft. The distance between the inner circle and the outer circle is 44 ft. By how many
Ray Of Light [21]

Answer:

  276 4/7 ft

Step-by-step explanation:

Let r1 represent the radius of the inner circle. Then its circumference in feet is ...

  C = 2πr

  66 = 2π(r1)

If the radius of the outer circle is (r1 +44), then its circumference is ...

  C = 2π(r1 +44) = 2π(r1) +2π(44)

  C = 66 +88π

Then the difference in the circumferences is ...

  (66 +88π) - (66) = 88π

Using the given value of π, the difference in circumferences is ...

  (88 ft)(22/7) = 1936/7 ft = 276 4/7 ft

6 0
3 years ago
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
What is the surface area of this right rectangular prism?
hammer [34]

Answer: Here's what I got:

Step-by-step explanation:

Is this what you wanted? My answer is A=22in²

Here's how I got it:

A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²

This was right? Make sure to like and rate! Appericate it.

5 0
3 years ago
Read 2 more answers
Pls help me with 1 and 2 plzzzz
kupik [55]

Answer:

1. First choice, 1/2

2. First choice, 1/2

Step-by-step explanation:

3 odd numbers on a dice, so 3/6 = 1/2

12 numbers, 1- 12, the even numbers are 2, 4, 6, 8, 1-, and 12. 6 out of 12 = 6/12 = 1/2

7 0
2 years ago
HELP!!!! PLEASEEEE!!!! Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production b
oksian1 [2.3K]
First, calculate 18% of 23.
23 x 0.18 = 4.14
Then, add this value (the increase) to the original value of 23.
23 + 4.14 = 27.14
Rounding off, we get 27.
6 0
3 years ago
Read 2 more answers
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