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miss Akunina [59]
1 year ago
7

If Raj randomly chooses a point in the square below, what is the probability that point is not in the circle? Assume that pi = 3

.14 and round to the nearest tenth of a percent. A circle inside of a square. The radius of the circle is 4 units. The side of the square is 10 units.
Mathematics
1 answer:
hodyreva [135]1 year ago
6 0

Answer:

49.7%

Step-by-step explanation:

A cdircle is located within a square.

<u>Area of the circle</u>

Area = \pir^{2}, where r = 4 units.

Area Circle = 50.3 units^2

<u>Area of the square</u>

Area = l*w or l^2 for a square, since l = w

Area = (10 units)^2

Area = 100 units^2

<u>Area in the square but outside the circle</u>

This is the difference [Square minus Circle Areas]

Square minus Circle Areas = 100 - 50.3  or <u>49.7 units^2</u>

<u>Probability</u>

The probability of picking a point in the square that is not in the circle is the ration of the two areas:  <u>[Outside Circle/Square]x100%</u>

<u></u>

<u>(</u>49.7 units^2)/(100 units^2)x100% = 49.7%

<u></u>

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Four pencils cost 5$ , how much will 12 pencils cost, I will give brainliest.
nadya68 [22]

Answer:

the answer is $60

Step-by-step explanation:

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3 0
3 years ago
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The sum of two numbers is 33.the larger number is 3 more than two times the smaller number.what are the numbers?
e-lub [12.9K]

Answer: The numbers are 10 and 23

Step-by-step explanation:

Let the smaller number be x

And the larger number be y

Ist sentence;

1. The sum of two numbers is 33.

X + y= 33 .........eqn 1

2. second sentence

the larger number is 3 more than two times the smaller number.

Y = 3 +2x

Put y into eqn 1

X+ 3 +2x = 33

3x= 33- 3

3x= 30

X = 30/3

X= 10 and y= 3+ 2x

Y= 3+ 2(10)

Y = 3+ 20

Y= 23

Therefore the two numbers are 10 and 23

8 0
3 years ago
Determine the quotient of 2/3 divided by 4 using a visual model. Show me how..,
azamat
4 divided by 2/3 equals 6. And 2/3 divided by 4 equals about 0.1666

First you would write it as 4/1 divided by 2/3, then you would you keep, change, flip. If you do not know how to keep,change,flip just keep the first fraction then change the division sign to multiplication then flip the last fraction. Then you should get the answer. And if you need to simplify make sure to do that.
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2*cosx*(2x+30°) + √3=0
MAXImum [283]

Answer: x  ≈  1.59688927,  −1.60312387,  −4.67045686,  4.69039614,  7.872914,  −7.91513776,  −10.89002194

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Simplify 2*cosx*(2x+30°) + √3=0

    Simplify each term.  

       Apply the distributive property.

  • 2  cos ( x )   ( 2 x )  + 2  cos ( x )  * 30 °  + √ 3 = 0
  • Multiply  2  by  2
  • 4  cos ( x )  x  +  2  cos ( x )  *30 ° + √ 3 = 0
  • Multiply  30 °by  2  
  • 4 cos ( x )  x  +  60 cos ( x ) + √ 3 = 0
  • Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √3
  • 4xcos(x)+60cos(x)+√3=0
  • Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194

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Answer:

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Step-by-step explanation:

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