Answer:
19.2cm²
Step-by-step explanation:
Given parameters:
Radius of the circle = 7cm
Angle subtended by the arc = 45°
Unknown:
Area of the sector = ?
Solution:
To find the area of the sector, use the expression below;
Area of sector = 
where r is the radius ;
Insert the parameters and solve;
Area of sector = 
x 
x 7²
Area of sector = 19.2cm²
Answer:
$ 1.2
Step-by-step explanation:
The first thing is to define the expected value of the ticket that would be the sum of the value for all event probabilities.
That is, if you buy 1 ticket, for each participant the probabilities are:
1. 1/1000 to get a $ 1,200 item
2. 999/1000 to get nothing ($ 0).
That is to say:
(1/1000) * $ 1200 + (999/1000) * $ 0 = (1/1000) * $ 1200 = $ 1.2
Therefore, the expected value is $ 1.2, this means that in reality each participant pays $ 0.8 more than the ticket is worth
Answer:
62°
Step-by-step explanation:
In an isosceles triangle, angle opposite to equal sides are equal.
So according to angle sum property :
x + x + 56 = 180
2x + 56 = 180
x = 180 - 56 /2
x = 62°
Answer:
See below
Step-by-step explanation:
The first step is to find the length of AB. By the Pythagorean Theorem:
Now, you can proceed:
