Here’s the pic help please answer I’ll give brainliest !! It’s for a test

Linda throws a dart that hits the square shown below: A square is drawn. A circle of radius 9 units touches the sides of the squ

nataly862011 [7]

Probability helps us to know the chances of an event occurring. The probability of Linda's dart hitting the circle is 0.7857.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

As it is given that the circle touches the sides of the square. therefore, the length of the side of the square is the diameter of the circle.

Now, in order to calculate the probability that the dart hits a point in the circle we need to calculate the area of the circle and the area of the square.

Area of the circle with a given radius of 9 units,

$\text{Area of the circle} = \pi r^2$

$\rm = \pi \times (9^2)\\\\= 81\pi\ units^2$

Area of the square with sides equal to the diameter of the circle,

$\rm \text{Area of square} = side^2$

$\rm = Diameter ^2\\\\= (2 \times radius)^2\\\\= (2 \times 9)^2\\\\= 18^2\\\\= 324\ units^2$

Now, the probability that the dart hits a point in the circle can be written as,

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\Probability=\dfrac{\text{Area of the circle}}{\text{Area of square}}\\\\\\Probability=\dfrac{81 \pi}{324} = 0.7857$

Hence, the probability of Linda's dart hitting the circle is 0.7857.

Learn more about Probability:

brainly.com/question/795909

3 0

2 years ago

70 books and 30 pens cost rupees 2100. write a linear equation and draw its graph

valentina_108 [34]

I cannot draw its graph but the equation is
70b+30p=2100
when b is for books and p is for pens

6 0

4 years ago

Read 2 more answers

Complete the process of solving the equation.

boyakko [2]

Answer:

t = 1

Step-by-step explanation:

5t + 8 = 13

Subtract 8 from both sides

5t + 8 - 8 = 13 - 8

5t = 5

Divide both sides by 5

5t/5 = 5/5

t = 1

Check:

5t + 8 = 13

5(1) + 8 = 13

5 + 8 = 13

6 0

3 years ago

Use elimination to solve this system of equations. 2r + 3s= 9 and 3r + 2s= 12

timama [110]

7 0

3 years ago

Read 2 more answers

GUYS PLEASE HELP WITH THIS PLEASE

sweet [91]

Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.

The change of amplitude of a sound wave's amplitude is linked to the change in pressure that occurs due to the wave measured at a given location.

Frequency tells the number of waves that pass a fixed location in a specific time frame.

<h3>How does sound waves relate to trigonometric functions?</h3>

Sound engineers uses the basic laws of trigonometry via sine and cosine graphs.

Note that all sounds can be broken down into a lot of sine waves, as sine waves comes together to form sounds.

Therefore, Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.

Learn more about Sound waves from

brainly.com/question/26096799

#SPJ1

6 0

2 years ago