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taurus [48]
2 years ago
13

Hiii!! I need help with these two questions (will put brainliest) TY

Mathematics
1 answer:
Fed [463]2 years ago
4 0

Answer:

First~part:\\Radius~of~big~circle(R) = 6\\Radius~of~small~circle(r)=x\\Now,\\Area ~of~ border ~= Area ~of~ big~ circle - area~ of~ small~ circle\\~~~~~~~~~~~~~~~~~~~~~~~=\pi R^{2} - \pi r^2 = \pi (6)^2-\pi r^2\\~~~~~~~~~~~~~~~~~~~~~~~= \pi (6^2-r^2)\\~~~~~~~~~~~~~~~~~~~~~~~=\pi (36+r)(36-r)Second part:\\Length~of~big~square~carpet (L) =x\\Length~of~small~square~carpet (l) =  2y\\Now,\\Area~of~the~carpeted~floor = Area~ of~ big ~square~ carpet - area ~of ~small~ square~ carpet\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=L^2-l^2 = x^2-4y^2 =(x+2y)(x-2y)

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How do you solve this
fiasKO [112]
(((x + y) / 3) + (1 / x)) / (5 + (15 / x))
The best way is to make it one fraction.
Multiply by ((3x/3x) / (3x/3x)) to remove the other fractions.
((x(x + y)) + 3(1)) / (5(3x) + 3(15))
(x^2 + xy + 3) / (15x + 45)
Then factor to simplify
(x^2 + xy + 3) / (3(x + 15))



4 0
3 years ago
the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t
777dan777 [17]

Answer:

  • ratio: 2/3
  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

  a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

  r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

__

The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0
3 years ago
Equation: -5 3/4- 3 1/2 Please help meh. ​
vampirchik [111]

Answer:

-9\frac{1}{4}

Step-by-step explanation:

-5\frac{3}{4}-3\frac{1}{2}

Step 1: Factor out the common term -1

=-\left(5\frac{3}{4}+3\frac{1}{2}\right)

Step 2: Add the whole numbers

5 + 3 = 8

Step 3: Combine the fractions:

\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)

Step 4: Convert the improper fractions to mixed numbers

\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)

Step 5: Add the numbers

8 + 1 =9 \\\\=-9\frac{1}{4}

Therefore, the answer to the equation is -9\frac{1}{4} in fraction, and decimal; 9.25

4 0
3 years ago
Mr. Jones is reading a mystery book to his sixth-grade English class. He reads 4 pages in 12 minutes.
kompoz [17]
4, 8, 12, 16 I can’t see your table but I think these are the answers. :)
5 0
2 years ago
Read 2 more answers
Please help will mark brainliest
asambeis [7]

The total cost of the tent is 409.86

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

explanation:

230×0.65=149.50

230+149.50=379.50×.08=30.36

379.50+30.36=409.86

(Hope this helps :) )

5 0
2 years ago
Read 2 more answers
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