The exact circumference of a circle with a diameter of 15 inches is 41.72 inches
Answer:
centre = (, 1 )
Step-by-step explanation:
using the midpoint formula
midpoint = [(- 1 + 4), (5 - 3) ] = (, 1 )
The area of the triangle PQR is 6.5 unit square.
<h3>What is defined as the triangles?</h3>
Triangles are three-sided polygons with three vertices.
- The angles of the triangle are established by connecting the three sides end to end at a point.
- The sum of the triangle's three angles corresponds 180 degrees.
The three coordinates of the points are P(4,6), Q(8,5), and R(5,9).
The formula for the area of the triangle when the coordinates are given is;
area of ΔABC = (1/2)[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
(x₁, y₁) = P(4,6)
(x₂,y₂) = Q(8,5)
(x₃, y₃) = R(5,9)
Put the given values in the formula;
area of ΔABC = (1/2)[4(5 - 9) + 8(9 - 6) + 5(6 - 5)]
On solving;
area of ΔABC = (1/2)[-16 + 24 + 5]
area of ΔABC = (1/2)[13]
area of ΔABC = 6.5
Therefore, the area for the triangle formed by the coordinates is 6.5 unit square.
To know more about the triangles, here
brainly.com/question/1058720
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The equation of a circle is given as:
(x-a)^2 + (y- b)^2 = r^2 where (a, b) is the center.
(x-9)^2 = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4 ------ (ii)
r^2 = 49 ------ (iii)
Adding equation (i) and (iii)
x^2 + y^2 - 18x + 4y + 85 -----(iv)
Equating equation (iv) and (iii)
<span>x^2 + y^2 - 18x + 4y + 85 = 49
Arrange the equation:
</span> <span>x^2 + y^2 - 18x + 4y + 36 = 0
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I hope this helps
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Answer:
Two players of equal skill level each played one game a day for 50 days and their skill level did not change from day to day.
Step-by-step explanation:
(A) The probability of player winning the game depends on the skill level . If skill level increases the probability to win also increases. The probability of success (win) must remain constant for every trial (condition of binomial distribution), hence, this case cannot be modeled by a random binomial probability.
(B) Different skill levels means the probability of success differs between players, the probability of winning each game would differ between players, hence. X can not be a binomial random variable.
(C) Same explanation as B
(D) As both players have same skill set throughout the game, the probability of winning each of the n = 100 games is the cosnat; hence, X can be modeled as a binomial random variable
(E) Same explanation as B and C