Step-by-step explanation:
log2x = 1 - log(x+4)
log2x = log10 - log(x+4)
log2x = log[10/(x+4)]
2x = 10/(x+4)
2x(x+4) = 10
2x² + 8x - 10 = 0
÷2 both sides of equation
x² + 4x - 5 = 0
(x+5)(x-1) = 0
x = -5, 1
x isn't be -5 because logA, A need to be > 0
So, x value is 1
Answer:
14, 16, 18
Step-by-step explanation:
x + (x+2) + (x+4)= 48
3x + 6 = 48
3x = 42
x = 14
x+2 = 16
x+4 = 18
Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Step-by-step explanation:
Since we have given that
Speed at which woman walks due west = 3 mi/hr
Speed at which ship moving due north = 22 mi/hr
Now it forms "Pythagorus theorem":
So, it becomes,

And the direction of the woman relative to the surface of the water is given by

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Use proportions.
5/6 = x/30
6 * 5 = 30
5 * 5 = 25
x = 25
The statue is 25 feet tall.
Answer:
2 hours
Step-by-step explanation:
30×1=30
30×2=60