75% is equal to 75/100, which can be reduced to 3/4. So it's 3/4 * 80 = 60
In both cases, y and x components are solved and added. The resulting hypotenuse is then computed and its direction calculated.
Airplane:
Ф = 270 - 265 = 5°
Hypotenuse, h = 420 mph
y component = 420 Sin Ф = 420 Sin 5 = 36.61 mph
x component = 420 Cos Ф = 420 Cos 5 = 418.40 mph
Wind
Ф = 270 -210 = 60°
Hypotenuse, h = 30 mph
y component = 30 Sin 60 = 25.98 mph
x component = 30 Cos 60 = 15 mph
Total y = 36.61+25.98 = 62.59 mph
Total x = 418.40+15 = 433.40 mph
Resulting speed of airplane = Sqrt (y^2+x^2) = Sqrt (62.59^2+433.40^2) = 437.9 mph
Direction = 270 -[tan^-1 (y/x)] = 270 -[tan^-1(62.59/433.40)] = 261.78°
Answer:
f/g at t =3 will be 9/8
d/ddx(f(x)/g(x))=f'(x)d(x)-f(x)g'(x)/(g'(x))^2
rate of change=(6*8)+(9*9)/9^2
rate of change =43/27=1.5925
1st card = 13/52
2nd card = 12/51
3rd card = 11/50
4th card = 10/49
5th card = 9/48
13/52 * 12/51 * 11/50 * 10/49 * 9/48 = 33/66640
there are 4 different suits so 4 * 33/66640 = 33/16660
answer is C
Answer:
b)
Step-by-step explanation:
