The polynomial (x^{2}+5x+6) is a degree of _____
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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.
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,
Area of the square with sides equal to the diameter of the circle,
Now, the probability that the dart hits a point in the circle can be written as,
Hence, the probability of Linda's dart hitting the circle is 0.7857.
Learn more about Probability:
We can see that both triangles are right angle triangle as per information given into picture. So we will prove that they are similar then use properties of similar triangle to find the value of d.
In triangle STV and triangle XWV:
∠STV = ∠XWV { both are equal to 90 degree}
∠TVS = ∠WVX { vertically opposite angles are equal}
Hence by AA (Angle Angle) similarity postulate of the triangles, It is proved that triangle STV and triangle XWV are similar.
We know that ratio of corresponding sides of similar triangles are equal so we can write:
350*180=400d
63000=400d
divide both side by 400
157.5=d
Hence final answer is d=157.5 m.