Answer:
40/49
Step-by-step explanation:
probability that a point chosen at random in the given figure will be inside the larger circle and outside the smaller circle = ( area larger circle - area of smaller circle / area of larger circle )
area of a circle = πr² where r = radius
area of smaller circle :
radius = 6
==> plug in 6 for r
A = π(6)²
==> evaluate exponent
A = 36π
Area of larger circle :
Radius = 14
==> plug in 14 for r
A = π(14)²
==> evaluate exponent
A = 196π
We have probability = area larger circle - area of smaller circle / area of larger circle
area of larger circle = 196π
area of smaller circle = 36π
probability = (196π - 36π)/196π
==> subtract 36 from 196
probability = 160π/196π
==> simplify fraction and cancel out π
probability = 40/49
For this case we have that by definition, the distance between two points is given by:
We have to:
Substituting:
ANswer:
The absolute value of an integer is the distance from zero. So, another way of thinking of is to ignore positive or negative. for example the absolute value of -126 is 126, same would go for positive 126.
Answer: 26.8 feet
Step-by-step explanation:
In the figure attached you can see two right triangles triangle ABD and a triangle ACD.
You are located at point B and the other person at point C.
The approximate height of the lifeguard station is <em>x</em>.
Keep on mind that:
Therefore:
<em>For the triangle ABD</em>:
[EQUATION 1]
<em>For the triangle ACD:</em>
[EQUATION 2]
Solve from DC from [EQUATION 2]:
Substitute into [EQUATION 1] and solve for x:
≈26.8ft
Dude do your own homework. Add 30 minutes to 12:30.
