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aleksandr82 [10.1K]
3 years ago
15

1. Here is a circle. Points A, B, C, and D are drawn, as

Mathematics
1 answer:
Darya [45]3 years ago
8 0

The area of the circle is approximately 50

<h3>Areas</h3>

The area of a shape is the amount of space occupied by the shape

<h3>Area of circle</h3>

Given the three radius of the circle, the area of the triangle is calculated using:

Area = \pi r^2

From the figure, we have:

AD = 4 --- the radius

So, we have:

Area = \pi r^2

Area = 3.14 \times 4^2

Area = 50.24

Approximate

Area = 50

Hence, the area of the circle is approximately 50

Read more about areas at:

brainly.com/question/10117243

You might be interested in
Which of the following is the complete list of roots for the polynomial function f (x) = (x squared 6 x 8) (x squared 6 x 13)? –
Sunny_sXe [5.5K]

The roots of the given polynomial function is {-4, -2, -3 + 2i, -3 - 2i}.

<h3>How to get the roots of the polynomial?</h3>

Here we have the polynomial function:

f(x) = (x^2 + 6x + 8)*(x^2 + 6x + 13)

So we just need to find the roots of the two quadratic functions, to do that, we use Bhaskara's formula.

For the first one, we have:

x = \frac{-6 \pm \sqrt{6^2 - 4*8} }{2} \\\\x = \frac{-6 \pm 2}{2}

So the two solutions are:

x = (-6 - 2)/2 = -4

x = (-6 + 2)/2 = -2

For the second quadratic we have:

x = \frac{-6 \pm \sqrt{6^2 - 4*13} }{2} \\\\x = \frac{-6 \pm 4i}{2}

So the two solutions are:

x = -3 + 2i

x = -3 - 2i

Finally, the list is:

{-4, -2, -3 + 2i, -3 - 2i}

If you want to learn more about polynomials:

brainly.com/question/4142886

#SPJ4

8 0
3 years ago
Graph the number on a number line sqrt 11
LekaFEV [45]
Sqrt 11 is approximately 3.31662479036

So make a line from about -5 to 5 and just estimate where that could be, between the numbers 3 and 4, make sure you mark that that is sqrt 11
6 0
3 years ago
Please help with algebra class I’m struggling
adell [148]

Answer:

Step-by-step explanation:

For what mileages will company A (which has a flat rate of $111) be less than the cost for company B

Company A < Company B

              111 < 75 + 0.80m

solving

       111 - 75 < 75 - 75 + 0.80m

              36 < 0.80m

     36/0.80 < 0.80m/0.80

as we are dividing by a positive number, we don't have to change the direction of the < sign.

              45 < m

      or     m > 45

so if Ali intends to drive more than 45 miles, Company A's vehicle will be less expensive to rent

5 0
3 years ago
A rectangular prism shaped book has a base area of square inches and a height of inch. What is the volume of the book?
Svetlanka [38]

Answer:

See Explanation

Step-by-step explanation:

The question has missing details, as the base area and height of the prism is not given.

To solve further, I'll assume that:

Base\ Area = 12\ in^2

and

Height = 5in

Using the above parameters, as point of reference.

The volume is:

Volume = Base\ Area * Height

Volume = 12\ in^2 * 5\ in

Volume = 60\ in^3

3 0
3 years ago
David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that
balandron [24]

Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.

The people are chosen without replacement from the sample, hence the <em>hypergeometric distribution </em>is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 18 people, hence N = 18.
  • 2 people will be chosen, hence n = 2.
  • David and Valerie corresponds to 2 people, hence k = 2.

The probability that both get picked is P(X = 2), hence:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,18,2,2) = \frac{C_{2,2}C_{16,0}}{C_{18,2}} = 0.0065

0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.

You can learn more about the hypergeometric distribution at brainly.com/question/25783392

7 0
3 years ago
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