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netineya [11]
3 years ago
5

2 Nine identical circles are cut from a square sheet of paper whose sides are

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

278.64cm²

Step-by-step explanation:

Area of the sheet left out = Area of the square - Area of the 9 circles

Area of the square = L^2

L is the side length of the square

A = 36^2

Area of the square = 1296cm^2

Diameter of a circle = 38/3 = 12cm

Area of a circle = πr²

r is the radius = 12/2 = 6cm

Area of a circle = 3.14(6)²

Area of a circle = 3.14 * 36

Area of a circle = 113.04cm²

Area of 9 circles = 9 * 113.04

Area of 9 circles = 1,017.36cm²

Area of the left over = 1296 - 1,017.36

Area of the left over = 278.64cm²

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A triangle has one angle that measures 56° and one angle that measures 63º.
crimeas [40]

<h2>sum of a triangle= 180°</h2>
  1. 63+56=119
  2. 180-119=61
  3. ans=61°
7 0
3 years ago
Each letter of the word "supercalifragilisticexpialidocious" is placed into a bag and drawn at 3 times, replacing the letter aft
Makovka662 [10]

Answer:

P(X ≥ 1) = 0.50

Step-by-step explanation:

Given that:

The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.

Then; the probability of success = 7/34 = 0.20588

Using Binomial distribution to determine the probability; we have:

P(X = x)  = ^nC_x  \ \beta^x   \  (1 - \beta)^{n-x}

where;

x = 0,1,2,...n    and    0  <  β   <   1

and x represents the  number of successes.

However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:

P(X ≥ 1) = 1 - P(X< 1)

P(X ≥ 1) = 1 - P(X =0)

P(X \ge 1) =  1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg]

P(X \ge 1) =  1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg]

P(X ≥ 1) = 1 - 0.50

P(X ≥ 1) = 0.50

4 0
3 years ago
34 + 10 + 100 = 12 x 12 Is this correct?
Harrizon [31]

Answer:ig so

Step-by-step explanation:34+10+100=144

12x12=144 same thing

4 0
3 years ago
Read 2 more answers
What rational number is equal to -2/3
valkas [14]

Answer:

Here is a little prompt to help you out.

Step-by-step explanation:

Two rational numbers are said to be equivalent if we divide each decimal value will be the same. that is if a/b is equivalent to c/d if a/b=p.

7 0
3 years ago
Which of the following are ordered pairs for the equation y = -4x + 5?
Firdavs [7]

(0, 5), (1, 1 ), ( - 1, 9 )

to test the points substitute the x-coordinate into the equation and if the value is equal to the y- coordinate then it is an ordered pair

(0, 5 ) → y = 0 + 5 = 5 ← ordered pair

(1, 1 ) → y = - 4 + 5 = 1 ← ordered pair

(- 1, 9 ) → y = 4 + 5 = 9 ← ordered pair

( - 1, - 1 ) → y = 4 + 5 = 9 ← not an ordered pair

( - 1, - 9 ) → y = 4 + 5 = 9 ← not an ordered pair

(1, - 1 ) → y = - 4 + 5 = 1 ← not an ordered pair

(- 1, 1 ) → y = 4 + 5 = 9 ← not an ordered pair


8 0
3 years ago
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