Answer:
314 mi^2 (3 s.f.)
Step-by-step explanation:

diameter of sphere= 10mi
radius of sphere= 10÷2= 5mi
Surface area of sphere= 4(pi)(5^2)= 100pi= 314mi^2 (3 s.f.)
Perpendicular lines have opposite reciprocals from the original line.
Original line: y=-3/4x+6
Perpendicular line: y=4/3x+b
Solve for b by plugging in the given coordinates (3,9) for x and y respectively.
9=4/3(3)+b
Multiply 4/3*3.
9=4+b
Subtract 4 from both sides.
5=b
Now, with b and the slope, you can write the equation:
y=4/3x+5
I hope this helps :)
Step-by-step explanation:
Let alpha be the unknown angle. We can set up our sine law as follows:

or

Solving for alpha,
