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lutik1710 [3]
2 years ago
9

What is the approximate circumference of the circle that has a center (3, 1) and passes through the point (3, 4)?

Mathematics
1 answer:
mr_godi [17]2 years ago
3 0

Step-by-step explanation:

You use the Distance Formula

d= √( x2 - x1 )^2 + ( y2 - y1 )^2

substitute

r=  √(3-3)^2 + (4-1)^2

    √0^2 + 3^2

r = √9

r = 3

Now you can use the equation for  finding the circumference

2πr

2π3

≈ 6π or 18.85

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How can probabilities be used to make fair decisions?
GarryVolchara [31]

he magician starts with the birthday boy and moves clockwise, passing out 100100100100 pieces of paper numbered 1111 through 100100100100. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 100100100100, and chooses the volunteer with that number.

Method2: The magician starts with the birthday boy and moves counter-clockwise, passing out 75757575 pieces of paper numbered 1111 through 75757575. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 75757575, and chooses the volunteer with that number.

Method 3\: The magician starts with the birthday boy and moves clockwise, passing out 30303030 pieces of paper numbered 1111 through 30303030. He cycles around the circle until all the pieces are distributed. He gives #1111 to the birthday boy, #2222 to the next kid, and so on. He then counts the number of windows in the room and chooses the volunteer with that number.

yes probabilites can be used to make fair ones

thanx

heya

6 0
3 years ago
What is the greatest common factor?
dsp73

Answer:

the greatest common factor would be -8w^4x^2

Step-by-step explanation:

lets factor

(-8w^4x^2(x^2w-1)

8 0
3 years ago
Are parallel lines inconsistent
Gelneren [198K]
If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line. <span>If a system has no solution, it is said to be </span>inconsistent. <span>The graphs of the </span>lines<span> do not intersect, so the graphs </span>are parallel<span> and there is no solution.</span>
5 0
3 years ago
Given that you have 2 parallel lines cut by a transversal, what is the measure of angle 2?
Archy [21]

Step-by-step explanation:

angle 2 = 2x + 10 deg (corresponding angles) or 180 - 4x + 46 deg (angles on a straight line are supplementary)

therefore,

2x + 10 = 226 - 4x

6x = 216

x = 36

hence,

angle 2 = 2(36) + 10 = 82deg

Topic: Angles

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

4 0
3 years ago
The frequency table below shows the antenna careers among the incoming class of first-year college students. Every student is ch
neonofarm [45]

To solve this you must use a proportion like so...

\frac{part}{whole} = \frac{part}{whole}

The total number of students that can be chosen are 4,663. This number will represent the whole of one fraction in the proportion. We want to know what percent probability out of these students are engineer, medical doctor/surgeon. This would be considered the part of this fraction. Sum the number of engineering students (615) with medical doctors/surgeons (723) to find this number

723 + 615 = 1,338 students that want to be an engineer or medical doctor/surgeon

Percent's are always taken out of the 100. This means that the other fraction in the proportion will have 100 as the whole and x (the unknown) as the part.

Here is your proportion:

\frac{1,338}{4,663} =\frac{x}{100}

Now you must cross multiply

1,338*100 = 4,663*x

133,800 = 4,663x

To isolate x divide 4,663 to both sides

133,800/4,663 = 4,663x/4,663

28.7 = x

This means that there is a 28.7% of a student with the intent of becoming an engineer or a medical doctor/surgeon to be chosen at random

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0
3 years ago
Read 2 more answers
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