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
Answer:
Step-by-step explanation:
In order to find the measure of each angle, it is important to remember that the sum of the interior angles of a triangle is 180 degrees. Knowing this, you can write the following equation:
[Equation 1]
Based on the information given in the exercise, you know that:
[Equation 2]
[Equation 3]
Then, you can substitute the Equations 2 and 3 into the Equation 1 and then solve for "M" in order to find the measure of the angle "M" in degrees:
Substituting this value into the Equations 2 and 3, you can find the measure of the angle "N" in degrees and the mesure of the angle "O" in degrees. These are:
Therefore:
Answer:
10.2956
Step-by-step explanation:
Answer:
7 ^ 6x + 2 = 7^15
taking log on both the sides
log 7^6x + 2 = log 7^15
6x + 2 log 7 = 15 log 7
log 7
2y = 10
y = 10/2
y = 5 <==horizontal
this is a horizontal line. Anytime you have y = an integer, it is horizontal...and if u have x = an integer, it is a vertical line.
