Answer:
m∠ADC = 20°
Step-by-step explanation:
A circle B has points B, C and D on the circumference.
m∠ABC = 40° [Cntral angle]
Since measure of the central angle is double of the inscribed angle by the arc
m∠ABC = 2(m∠ADC)
Here ∠ABC = Central angle
and ∠ADC = Inscribed angle
40° = 2(m∠ADC)
m∠ADC =
= 20°
Therefore, measure of angle ADC is 20°.
The probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
<h3>What is probability?</h3>Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.
John is playing a game of darts. In this game of dart,
The probability that he either hits a Bull’s eye or scores 10 points is equal to the sum of the probability he hits the bull's eye and the probability that he throws the dart into the 10-points ring.
Let, the probability that he either hits a Bull’s eye or scores 10 points is P. Thus,
Hence, the probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
Learn more about the probability here;
Answer:
The length of sides of one square is 5cm and length of sides of another square is 9cm
Step-by-step explanation:
Let the length of rectangle be x and width of rectangle be y.
We have given,
Area of rectangle = 45 cm²
i.e. Area of rectangle = x·y = 45 or xy = 45 ---------(1)
Next, two squares are constructed from two adjacent sides of rectangle.
i.e Side length of one square will be x and side length of another square will be y.
Area of one square = x²
And area of another square = y²
According to problem,
Sum of area of two squares is 106 cm²
∴ x²+y² = 106 ---------------(2)
From equation (1) and (2) , we can find x and y.
xy = 45 or x = , Plug this in equation (2).
We get,
x² + y² = 106
or
or
or
On solving this equation we get ,
y²=81 or 25
or y = 9 or 5
for y =9 , x=
or for y = 5 , x =
Hence the length of sides of one square is 5cm and length of sides of another square is 9cm