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ikadub [295]
3 years ago
15

A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the

Mathematics
2 answers:
SOVA2 [1]3 years ago
5 0

Answer:

31 Sq inches

Step-by-step explanation:

Area of the shaded region = Area of square - Area of circle with radius 6 inches

=  {12}^{2}  - \pi {(6)}^{2}  \\  \\  = 144 - 3.14 \times 36 \\  \\  = 144 - 113.04 \\  \\  = 30.96 \\  \\  \approx \: 31 \:  {in}^{2}

andrezito [222]3 years ago
4 0

Answer:

I think the answer is 31

Step-by-step explanation:

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uysha [10]
Square root it to cancel out the 2
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To convert centimeters to meters, you must: by what number? multiply divide 10 100 1,000
Mariana [72]
Divide by 100
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7 0
3 years ago
I NEED HELP WITH THESE TWO QUESTIONS PLZ DO NOT ANSWER IF YOU CANNOT EXPLAIN THE ANSWER
Murljashka [212]

9514 1404 393

Answer:

  1. asymptotes: x=-6, x=6, y=0; zero: x=0

  2. 20 blue fish

Step-by-step explanation:

1. The vertical asymptotes are where the denominator is zero. It factors as (x-6)(x+6), so will have zeros at x=-6 and x=6.

The horizontal asymptote is at the limit when x goes to infinity. Here, the ratio of highest-degree terms is 6/x, so the value goes to zero as x gets large.

The zero is where the numerator is zero, at x=0.

In summary:

  • vertical asymptotes: x = ±6
  • horizontal asymptote: y = 0
  • zero: (0, 0)

__

2. 60% are red, so 40% are blue. The difference in percentages is 60%-40% = 20%. The percentage of blue fish (40%) is twice the difference (=2×20%), so the number of blue fish is twice the difference in numbers.

  blue fish = 2×10 = 20 fish

<em><u>Check</u></em>

There are then 20+10=30 red fish, so 20+30=50 fish total. Reds are 30/50 = 60% of the total.

<u><em>Additional comment</em></u>

I find it often works well to work with ratios, which I can often do in my head. Other folks like to see equations. Here, we could write equations like ...

  r = 60%(r + b) . . . . reds are 60% of the total

  r - b = 10 . . . . . . . . 10 more reds than blues

We want the value of b, so we can eliminate r by substituting for it:

  r = 10 + b . . . . from the second equation above

  (10 +b) = 0.60((10 +b) + b) . . . . substitute for r

  10 +b = 6 + 1.2b . . . simplify

  4 = 0.2b . . . . subtract b+6

  20 = b . . . . . . multiply by 5 (there are 20 blue fish)

6 0
3 years ago
A principal amount of $4,700 is deposited into an account paying interest at a rate of 3%, continuously compounded. What will be
Ronch [10]

The account balance after 3 years if the interest is compounded continuously is $5,142.62

<h3>How to find compound interest?</h3>

  • Principal, P = $4,700
  • Time,t = 3 years
  • Interest rate, r = 3%

r = 3/100

r = 0.03 rate per year,

A = Pe^rt

A = 4,700.00(2.71828)^(0.03)(3)

= 12,775.916^0.09

A = $5,142.62

Therefore, the account balance after 3 years if the interest is compounded continuously is $5,142.62

Learn more about compound interest:

brainly.com/question/24924853

#SPJ1

8 0
2 years ago
What is arccos(−1) in Radians.
Free_Kalibri [48]

Answer:

π radians

Step-by-step explanation:

The arc cos(- 1) in degrees is 180° and 180° = π radians

7 0
3 years ago
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