What is the system that you have to solve to find the value of x and y?
Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'
Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84
Therefore, the distance covered southwards = 145 miles to the nearest mile.
Answer:
Geometric probability of an object hitting a circular hole is 0.0245.
Step-by-step explanation:
We have given,
A board of size 48 by 24 inch. There is a circular hole in the board having diameter 6 inches.
So,
Area of a board = 48 × 24 = 1152 square inches
And area of circular hole = π×r² {where r = diameter/2 = 6 / 2 = 3 inches}
Area of circular hole = π×3² = 9π = 28.27 square inches
Now, we need to find the geometric probability of an object will hit the circle.
Geometric probability = Area of circular hole / Area of board
Geometric probability = 
Geometric probability = 0.0245
hence geometric probability of an object hitting a circular hole is 0.0245.
Step-by-step explanation:
Key : Plug in the numbers given in the parenthesis into the x values of the corresponding functions.
f(1/2) = 1/ 1/2 - 4 = 1/-7/2 = -2/7
g(1/2) = 1/1/2 - 2 = -3/2
f(-1/4) = 1/-1/4-4 = 1/-17/4 = -4/17
g(-1/4) = 1/-1/4 - 2 = 1/-9/2 = -2/9
In one U.S cup, there are 236.588 milliliters. (No such thing as milli"meters" in a cup).